From 0a93e195b57824b3687064d9fa1243ef4c446856 Mon Sep 17 00:00:00 2001
From: rch <rostislav.chudoba@rwth-aachen.de>
Date: Thu, 29 Jun 2023 16:49:33 +0200
Subject: [PATCH] after SS2023
---
bending/bending_3pt.ipynb | 3 +-
...1_elastic_stiffness_of_the_composite.ipynb | 3 +-
extras/newton_method.ipynb | 3 +-
extras/pullout1d.ipynb | 3 +-
index.ipynb | 3 +-
...1_elastic_stiffness_of_the_composite.ipynb | 3 +-
pull_out/2_1_1_PO_observation.ipynb | 3 +-
pull_out/2_1_2_PO_ELF_RLM.ipynb | 21 +-
.../2_2_1_PO_configuration_explorer.ipynb | 3 +-
pull_out/2_2_2_PO_ELF_ELM.ipynb | 3 +-
pull_out/2_2_3_PO_ESF_RM.ipynb | 3 +-
pull_out/2_2_4_PO_ELF_RSM.ipynb | 3 +-
pull_out/2_6_CB_ELF_ELM.ipynb | 3 +-
pull_out/2_6_CB_SF_M_RG-.ipynb | 3 +-
tour1_intro/1_1_roadmap.ipynb | 3 +-
tour1_intro/1_2_jupyter_python.ipynb | 3 +-
...3_elastic_stiffness_of_the_composite.ipynb | 160 +-
.../2_1_1_PO_observation.ipynb | 54 +-
.../2_1_2_PO_ELF_RLM_CAS.ipynb | 680 +----
.../2_2_1_PO_configuration_explorer.ipynb | 135 +-
tour2_constant_bond/fragmentation.ipynb | 216 +-
.../pmcm_comparison_fragmentation.ipynb | 63 +-
tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb | 2401 +----------------
.../3_2_anchorage_length.ipynb | 418 +--
.../4_1_PO_multilinear_unloading.ipynb | 144 +-
tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb | 586 +---
tour4_plastic_bond/4_2a_BS_EP_SH_K_A.ipynb | 447 +--
.../4_3_PO_trc_cfrp_cyclic.ipynb | 33 +-
tour4_plastic_bond/bs_ep_ikh.ipynb | 8 +-
tour8_rcbeam/8_1_rc_beam_mkapa.ipynb | 57 +-
tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb | 2 +-
31 files changed, 437 insertions(+), 5033 deletions(-)
diff --git a/bending/bending_3pt.ipynb b/bending/bending_3pt.ipynb
index 54d6c9c..0394c2d 100644
--- a/bending/bending_3pt.ipynb
+++ b/bending/bending_3pt.ipynb
@@ -87,8 +87,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
}
},
"nbformat": 4,
diff --git a/bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb b/bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb
index a31b2cd..01573db 100644
--- a/bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb
+++ b/bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb
@@ -322,8 +322,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/extras/newton_method.ipynb b/extras/newton_method.ipynb
index c699e97..74fd887 100644
--- a/extras/newton_method.ipynb
+++ b/extras/newton_method.ipynb
@@ -344,8 +344,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/extras/pullout1d.ipynb b/extras/pullout1d.ipynb
index 9c6fda5..65e43c7 100644
--- a/extras/pullout1d.ipynb
+++ b/extras/pullout1d.ipynb
@@ -2484,8 +2484,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/index.ipynb b/index.ipynb
index d931512..c88e58b 100644
--- a/index.ipynb
+++ b/index.ipynb
@@ -495,8 +495,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/1_1_elastic_stiffness_of_the_composite.ipynb b/pull_out/1_1_elastic_stiffness_of_the_composite.ipynb
index a31b2cd..01573db 100644
--- a/pull_out/1_1_elastic_stiffness_of_the_composite.ipynb
+++ b/pull_out/1_1_elastic_stiffness_of_the_composite.ipynb
@@ -322,8 +322,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_1_1_PO_observation.ipynb b/pull_out/2_1_1_PO_observation.ipynb
index 28b2e09..c420fa6 100644
--- a/pull_out/2_1_1_PO_observation.ipynb
+++ b/pull_out/2_1_1_PO_observation.ipynb
@@ -225,8 +225,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_1_2_PO_ELF_RLM.ipynb b/pull_out/2_1_2_PO_ELF_RLM.ipynb
index a87cf2d..e186577 100644
--- a/pull_out/2_1_2_PO_ELF_RLM.ipynb
+++ b/pull_out/2_1_2_PO_ELF_RLM.ipynb
@@ -1062,7 +1062,7 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -1071,23 +1071,11 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "ename": "ImportError",
- "evalue": "cannot import name 'CB_ELF_RLM_Symb' from 'pull_out' (/home/jovyan/bmcs/pull_out/pull_out.py)",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m/tmp/ipykernel_1858/1902363140.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mpull_out\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mPullOutAModel\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mCB_ELF_RLM_Symb\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mpo\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mPullOutAModel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msymb_class\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mCB_ELF_RLM_Symb\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mpo\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minteract\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
- "\u001b[0;31mImportError\u001b[0m: cannot import name 'CB_ELF_RLM_Symb' from 'pull_out' (/home/jovyan/bmcs/pull_out/pull_out.py)"
- ]
- }
- ],
+ "outputs": [],
"source": [
"from pull_out import PullOutAModel, CB_ELF_RLM_Symb\n",
"po = PullOutAModel(symb_class=CB_ELF_RLM_Symb)\n",
@@ -1492,8 +1480,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_2_1_PO_configuration_explorer.ipynb b/pull_out/2_2_1_PO_configuration_explorer.ipynb
index c349759..5ecd7ad 100644
--- a/pull_out/2_2_1_PO_configuration_explorer.ipynb
+++ b/pull_out/2_2_1_PO_configuration_explorer.ipynb
@@ -244,8 +244,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_2_2_PO_ELF_ELM.ipynb b/pull_out/2_2_2_PO_ELF_ELM.ipynb
index 3c7dd5c..9b9ef7f 100644
--- a/pull_out/2_2_2_PO_ELF_ELM.ipynb
+++ b/pull_out/2_2_2_PO_ELF_ELM.ipynb
@@ -1292,8 +1292,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_2_3_PO_ESF_RM.ipynb b/pull_out/2_2_3_PO_ESF_RM.ipynb
index 6ea28cf..9f1b247 100644
--- a/pull_out/2_2_3_PO_ESF_RM.ipynb
+++ b/pull_out/2_2_3_PO_ESF_RM.ipynb
@@ -562,8 +562,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_2_4_PO_ELF_RSM.ipynb b/pull_out/2_2_4_PO_ELF_RSM.ipynb
index 31382f7..a93e30f 100755
--- a/pull_out/2_2_4_PO_ELF_RSM.ipynb
+++ b/pull_out/2_2_4_PO_ELF_RSM.ipynb
@@ -518,8 +518,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_6_CB_ELF_ELM.ipynb b/pull_out/2_6_CB_ELF_ELM.ipynb
index 51204cb..b31f040 100644
--- a/pull_out/2_6_CB_ELF_ELM.ipynb
+++ b/pull_out/2_6_CB_ELF_ELM.ipynb
@@ -1482,8 +1482,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/pull_out/2_6_CB_SF_M_RG-.ipynb b/pull_out/2_6_CB_SF_M_RG-.ipynb
index aa51245..d4bbcf7 100755
--- a/pull_out/2_6_CB_SF_M_RG-.ipynb
+++ b/pull_out/2_6_CB_SF_M_RG-.ipynb
@@ -443,8 +443,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour1_intro/1_1_roadmap.ipynb b/tour1_intro/1_1_roadmap.ipynb
index 19e1955..68722b2 100644
--- a/tour1_intro/1_1_roadmap.ipynb
+++ b/tour1_intro/1_1_roadmap.ipynb
@@ -147,8 +147,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour1_intro/1_2_jupyter_python.ipynb b/tour1_intro/1_2_jupyter_python.ipynb
index 8a6d56d..2fcbdb8 100644
--- a/tour1_intro/1_2_jupyter_python.ipynb
+++ b/tour1_intro/1_2_jupyter_python.ipynb
@@ -232,8 +232,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour1_intro/1_3_elastic_stiffness_of_the_composite.ipynb b/tour1_intro/1_3_elastic_stiffness_of_the_composite.ipynb
index fe74096..d2de5de 100644
--- a/tour1_intro/1_3_elastic_stiffness_of_the_composite.ipynb
+++ b/tour1_intro/1_3_elastic_stiffness_of_the_composite.ipynb
@@ -17,33 +17,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/oGM8nCIHpAE\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f49cc7c2610>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('oGM8nCIHpAE')"
@@ -168,7 +144,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -183,20 +159,9 @@
},
{
"cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "37082.18859138533"
- ]
- },
- "execution_count": 3,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"A_composite = width * thickness\n",
"n_rovings = width / spacing\n",
@@ -237,7 +202,7 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -254,7 +219,7 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -276,23 +241,9 @@
},
{
"cell_type": "code",
- "execution_count": 6,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left( 1.84, \\ A_{r}\\right)$"
- ],
- "text/plain": [
- "(1.84, Aᵣ)"
- ]
- },
- "execution_count": 6,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"A_roving, A_roving_"
]
@@ -306,25 +257,9 @@
},
{
"cell_type": "code",
- "execution_count": 7,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{A_{r} E_{car} n_{l} - E_{c} \\left(A_{r} n_{l} - d h\\right)}{d h}$"
- ],
- "text/plain": [
- "Aᵣ⋅E_car⋅nₗ - E_c⋅(Aᵣ⋅nₗ - d⋅h)\n",
- "───────────────────────────────\n",
- " d⋅h "
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"A_composite_ = width_ * thickness_\n",
"n_rovings_ = width_ / spacing_\n",
@@ -348,7 +283,7 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -364,23 +299,9 @@
},
{
"cell_type": "code",
- "execution_count": 9,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle 37082.1885913853$"
- ],
- "text/plain": [
- "37082.1885913853"
- ]
- },
- "execution_count": 9,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"get_E(A_roving, E_carbon, n_layers, E_concrete, spacing, thickness)"
]
@@ -422,7 +343,7 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -440,22 +361,9 @@
},
{
"cell_type": "code",
- "execution_count": 11,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "array([28000, 29513.6980985642, 31027.3961971284, 32541.0942956927,\n",
- " 34054.7923942569, 35568.4904928211, 37082.1885913853,\n",
- " 38595.8866899495, 40109.5847885138], dtype=object)"
- ]
- },
- "execution_count": 11,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"get_E(A_roving, E_carbon, n_layers_range, E_concrete, spacing, thickness)"
]
@@ -483,22 +391,9 @@
},
{
"cell_type": "code",
- "execution_count": 12,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"import matplotlib.pylab as plt\n",
"plt.plot(n_layers_range, get_E(A_roving, E_carbon, n_layers_range, E_concrete, spacing, thickness), 'o-');\n",
@@ -631,8 +526,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour2_constant_bond/2_1_1_PO_observation.ipynb b/tour2_constant_bond/2_1_1_PO_observation.ipynb
index 4bd0f9d..d39c830 100644
--- a/tour2_constant_bond/2_1_1_PO_observation.ipynb
+++ b/tour2_constant_bond/2_1_1_PO_observation.ipynb
@@ -73,33 +73,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/vc-kLmnHMvw\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7fb7bccdcd60>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('vc-kLmnHMvw')"
@@ -244,7 +220,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -265,7 +241,7 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -283,24 +259,9 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "a1c99f5be85a4e47b03fc60630307d7d",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"po.interact()"
]
@@ -392,8 +353,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour2_constant_bond/2_1_2_PO_ELF_RLM_CAS.ipynb b/tour2_constant_bond/2_1_2_PO_ELF_RLM_CAS.ipynb
index 1636f54..67eda50 100644
--- a/tour2_constant_bond/2_1_2_PO_ELF_RLM_CAS.ipynb
+++ b/tour2_constant_bond/2_1_2_PO_ELF_RLM_CAS.ipynb
@@ -47,24 +47,9 @@
},
{
"cell_type": "code",
- "execution_count": 53,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "d2df3ec433eb4788a18ba2e04ef04632",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pull_out import PullOutAModel, PO_ELF_RLM_Symb\n",
@@ -304,7 +289,7 @@
},
{
"cell_type": "code",
- "execution_count": 54,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -332,7 +317,7 @@
},
{
"cell_type": "code",
- "execution_count": 55,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -389,29 +374,13 @@
},
{
"cell_type": "code",
- "execution_count": 56,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{\\bar{\\tau} p}{A_\\mathrm{f}}$"
- ],
- "text/plain": [
- "\\bar{\\tau}⋅p\n",
- "────────────\n",
- "A_\\mathrm{f}"
- ]
- },
- "execution_count": 56,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"d_sig_f = p * tau / A_f\n",
"d_sig_f"
@@ -435,29 +404,13 @@
},
{
"cell_type": "code",
- "execution_count": 57,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle C + \\frac{\\bar{\\tau} p x}{A_\\mathrm{f}}$"
- ],
- "text/plain": [
- " \\bar{\\tau}⋅p⋅x\n",
- "C + ──────────────\n",
- " A_\\mathrm{f} "
- ]
- },
- "execution_count": 57,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"sig_f = sp.integrate(d_sig_f, x) + C\n",
"sig_f "
@@ -480,31 +433,13 @@
},
{
"cell_type": "code",
- "execution_count": 58,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{C + \\frac{\\bar{\\tau} p x}{A_\\mathrm{f}}}{E_\\mathrm{f}}$"
- ],
- "text/plain": [
- " \\bar{\\tau}⋅p⋅x\n",
- "C + ──────────────\n",
- " A_\\mathrm{f} \n",
- "──────────────────\n",
- " E_\\mathrm{f} "
- ]
- },
- "execution_count": 58,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"eps_f = sig_f / E_f\n",
"eps_f"
@@ -537,30 +472,13 @@
},
{
"cell_type": "code",
- "execution_count": 59,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{C x}{E_\\mathrm{f}} + D + \\frac{\\bar{\\tau} p x^{2}}{2 A_\\mathrm{f} E_\\mathrm{f}}$"
- ],
- "text/plain": [
- " 2 \n",
- " C⋅x \\bar{\\tau}⋅p⋅x \n",
- "──────────── + D + ───────────────────────────\n",
- "E_\\mathrm{f} 2⋅A_\\mathrm{f}⋅E_\\mathrm{f}"
- ]
- },
- "execution_count": 59,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"u_f = sp.integrate(eps_f, x) + D\n",
"u_f"
@@ -603,29 +521,13 @@
},
{
"cell_type": "code",
- "execution_count": 60,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ C : \\frac{P}{A_\\mathrm{f}}\\right\\}$"
- ],
- "text/plain": [
- "⎧ P ⎫\n",
- "⎨C: ────────────⎬\n",
- "⎩ A_\\mathrm{f}⎭"
- ]
- },
- "execution_count": 60,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"eq_C = {P - sig_f.subs({x:0}) * A_f}\n",
"C_subs = sp.solve(eq_C,C) \n",
@@ -679,31 +581,13 @@
},
{
"cell_type": "code",
- "execution_count": 61,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ D : \\frac{- 2 P a - \\bar{\\tau} a^{2} p}{2 A_\\mathrm{f} E_\\mathrm{f}}\\right\\}$"
- ],
- "text/plain": [
- "⎧ 2 ⎫\n",
- "⎪ -2⋅P⋅a - \\bar{\\tau}⋅a ⋅p ⎪\n",
- "⎨D: ───────────────────────────⎬\n",
- "⎪ 2⋅A_\\mathrm{f}⋅E_\\mathrm{f}⎪\n",
- "⎩ ⎭"
- ]
- },
- "execution_count": 61,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"eqns_D = {u_f.subs(C_subs).subs(x,a)}\n",
"D_subs = sp.solve(eqns_D,D)\n",
@@ -723,35 +607,13 @@
},
{
"cell_type": "code",
- "execution_count": 62,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{P x}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x^{2}}{2 A_\\mathrm{f} E_\\mathrm{f}} + \\frac{- 2 P a - \\bar{\\tau} a^{2} p}{2 A_\\mathrm{f} E_\\mathrm{f}}$"
- ],
- "text/plain": [
- " 2 \n",
- " P⋅x \\bar{\\tau}⋅p⋅x -2⋅P⋅a - \\bar{\\tau\n",
- "───────────────────────── + ─────────────────────────── + ────────────────────\n",
- "A_\\mathrm{f}⋅E_\\mathrm{f} 2⋅A_\\mathrm{f}⋅E_\\mathrm{f} 2⋅A_\\mathrm{f}⋅E_\\ma\n",
- "\n",
- " 2 \n",
- "}⋅a ⋅p \n",
- "───────\n",
- "thrm{f}"
- ]
- },
- "execution_count": 62,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"u_f.subs(C_subs).subs(D_subs) "
]
@@ -783,29 +645,13 @@
},
{
"cell_type": "code",
- "execution_count": 63,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ a : - \\frac{P}{\\bar{\\tau} p}\\right\\}$"
- ],
- "text/plain": [
- "⎧ -P ⎫\n",
- "⎨a: ────────────⎬\n",
- "⎩ \\bar{\\tau}⋅p⎭"
- ]
- },
- "execution_count": 63,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"eqns_a = {eps_f.subs(C_subs).subs(D_subs).subs(x,a)}\n",
"a_subs = sp.solve(eqns_a,a)\n",
@@ -827,31 +673,13 @@
},
{
"cell_type": "code",
- "execution_count": 64,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ C : \\frac{P}{A_\\mathrm{f}}, \\ D : \\frac{- 2 P a - \\bar{\\tau} a^{2} p}{2 A_\\mathrm{f} E_\\mathrm{f}}, \\ a : - \\frac{P}{\\bar{\\tau} p}\\right\\}$"
- ],
- "text/plain": [
- "⎧ 2 ⎫\n",
- "⎪ P -2⋅P⋅a - \\bar{\\tau}⋅a ⋅p -P ⎪\n",
- "⎨C: ────────────, D: ───────────────────────────, a: ────────────⎬\n",
- "⎪ A_\\mathrm{f} 2⋅A_\\mathrm{f}⋅E_\\mathrm{f} \\bar{\\tau}⋅p⎪\n",
- "⎩ ⎭"
- ]
- },
- "execution_count": 64,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"var_subs = {**C_subs,**D_subs,**a_subs}\n",
"var_subs"
@@ -870,35 +698,13 @@
},
{
"cell_type": "code",
- "execution_count": 65,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{P^{2}}{2 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p} + \\frac{P x}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x^{2}}{2 A_\\mathrm{f} E_\\mathrm{f}}$"
- ],
- "text/plain": [
- " 2 \n",
- " P P⋅x \\\n",
- "──────────────────────────────────────── + ───────────────────────── + ───────\n",
- "2⋅A_\\mathrm{f}⋅E_\\mathrm{f}⋅\\bar{\\tau}⋅p A_\\mathrm{f}⋅E_\\mathrm{f} 2⋅A_\\ma\n",
- "\n",
- " 2 \n",
- "bar{\\tau}⋅p⋅x \n",
- "────────────────────\n",
- "thrm{f}⋅E_\\mathrm{f}"
- ]
- },
- "execution_count": 65,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"u_f_x = u_f.subs(var_subs)\n",
"u_f_x"
@@ -920,30 +726,13 @@
},
{
"cell_type": "code",
- "execution_count": 66,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{P^{2}}{2} + P x + \\frac{x^{2}}{2}$"
- ],
- "text/plain": [
- " 2 2\n",
- "P x \n",
- "── + P⋅x + ──\n",
- "2 2 "
- ]
- },
- "execution_count": 66,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"data_f = {L_b:1, p:1, E_f:1, A_f:1, tau:1}\n",
"u_f_x.subs(data_f)"
@@ -962,25 +751,13 @@
},
{
"cell_type": "code",
- "execution_count": 67,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "array([0. , 0.005, 0.02 , 0.045, 0.08 , 0.125, 0.18 , 0.245, 0.32 ,\n",
- " 0.405, 0.5 ])"
- ]
- },
- "execution_count": 67,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"get_u_f_x = sp.lambdify((x, P), u_f_x.subs(data_f))\n",
"x_range = np.linspace(-1, 0, 11)\n",
@@ -1000,7 +777,7 @@
},
{
"cell_type": "code",
- "execution_count": 68,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
@@ -1042,39 +819,13 @@
},
{
"cell_type": "code",
- "execution_count": 69,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "8ae2e63012464391af8c066b21619bbd",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " <div style=\"display: inline-block;\">\n",
- " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
- " Figure\n",
- " </div>\n",
- " <img src='data:image/png;base64,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' 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- ],
- "text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"fig, ax_u1 = plt.subplots(1,1, figsize=(6,3), tight_layout=True)\n",
"ax_u1.plot(x_range, u_f_x_range, color='black');\n",
@@ -1096,29 +847,13 @@
},
{
"cell_type": "code",
- "execution_count": 70,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ a : - \\frac{P}{\\bar{\\tau} p}\\right\\}$"
- ],
- "text/plain": [
- "⎧ -P ⎫\n",
- "⎨a: ────────────⎬\n",
- "⎩ \\bar{\\tau}⋅p⎭"
- ]
- },
- "execution_count": 70,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"a_subs"
]
@@ -1155,41 +890,13 @@
},
{
"cell_type": "code",
- "execution_count": 71,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} \\frac{P^{2}}{2 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p} + \\frac{P x}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x^{2}}{2 A_\\mathrm{f} E_\\mathrm{f}} & \\text{for}\\: x > - \\frac{P}{\\bar{\\tau} p} \\\\0 & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ 2 \n",
- "⎪ P P⋅x \n",
- "⎪──────────────────────────────────────── + ───────────────────────── + ──────\n",
- "⎨2⋅A_\\mathrm{f}⋅E_\\mathrm{f}⋅\\bar{\\tau}⋅p A_\\mathrm{f}⋅E_\\mathrm{f} 2⋅A_\\m\n",
- "⎪ \n",
- "⎪ 0 \n",
- "⎩ \n",
- "\n",
- " 2 \n",
- "\\bar{\\tau}⋅p⋅x -P \n",
- "───────────────────── for x > ────────────\n",
- "athrm{f}⋅E_\\mathrm{f} \\bar{\\tau}⋅p\n",
- " \n",
- " otherwise \n",
- " "
- ]
- },
- "execution_count": 71,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"u_fa_x = sp.Piecewise((u_f_x, x > var_subs[a]),\n",
" (0, x <= var_subs[a]))\n",
@@ -1198,7 +905,7 @@
},
{
"cell_type": "code",
- "execution_count": 72,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -1218,53 +925,13 @@
},
{
"cell_type": "code",
- "execution_count": 73,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "2befb91769e34717accbc41eeddfb5bf",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "interactive(children=(FloatSlider(value=0.0, description='P', max=1.0, step=0.05), Output()), _dom_classes=('w…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "8142dff4aa7546458d92babc30f5f245",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=600.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"import ipywidgets as ipw\n",
"u_fa_x_range = get_u_fa_x(x_range, 1)\n",
@@ -1293,31 +960,13 @@
},
{
"cell_type": "code",
- "execution_count": 74,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} \\frac{P}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x}{A_\\mathrm{f} E_\\mathrm{f}} & \\text{for}\\: x > - \\frac{P}{\\bar{\\tau} p} \\\\0 & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ P \\bar{\\tau}⋅p⋅x -P \n",
- "⎪───────────────────────── + ───────────────────────── for x > ────────────\n",
- "⎨A_\\mathrm{f}⋅E_\\mathrm{f} A_\\mathrm{f}⋅E_\\mathrm{f} \\bar{\\tau}⋅p\n",
- "⎪ \n",
- "⎩ 0 otherwise "
- ]
- },
- "execution_count": 74,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"eps_f_x = sp.diff(u_fa_x,x)\n",
"eps_f_x"
@@ -1339,37 +988,13 @@
},
{
"cell_type": "code",
- "execution_count": 75,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle E_\\mathrm{f} \\left(\\begin{cases} \\frac{P}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x}{A_\\mathrm{f} E_\\mathrm{f}} & \\text{for}\\: x > - \\frac{P}{\\bar{\\tau} p} \\\\0 & \\text{otherwise} \\end{cases}\\right)$"
- ],
- "text/plain": [
- " ⎛⎧ P \\bar{\\tau}⋅p⋅x \n",
- " ⎜⎪───────────────────────── + ───────────────────────── for x > \n",
- "E_\\mathrm{f}⋅⎜⎨A_\\mathrm{f}⋅E_\\mathrm{f} A_\\mathrm{f}⋅E_\\mathrm{f} \n",
- " ⎜⎪ \n",
- " ⎝⎩ 0 oth\n",
- "\n",
- " -P ⎞\n",
- "────────────⎟\n",
- "\\bar{\\tau}⋅p⎟\n",
- " ⎟\n",
- "erwise ⎠"
- ]
- },
- "execution_count": 75,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"sig_f_x = E_f * eps_f_x\n",
"sig_f_x"
@@ -1391,31 +1016,13 @@
},
{
"cell_type": "code",
- "execution_count": 76,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} \\bar{\\tau} & \\text{for}\\: x > - \\frac{P}{\\bar{\\tau} p} \\\\0 & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ -P \n",
- "⎪\\bar{\\tau} for x > ────────────\n",
- "⎨ \\bar{\\tau}⋅p\n",
- "⎪ \n",
- "⎩ 0 otherwise "
- ]
- },
- "execution_count": 76,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"tau_x = sp.simplify(sig_f_x.diff(x) * A_f / p)\n",
"tau_x"
@@ -1436,7 +1043,7 @@
},
{
"cell_type": "code",
- "execution_count": 87,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1494,30 +1101,13 @@
},
{
"cell_type": "code",
- "execution_count": 88,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - w + \\frac{P^{2}}{2 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p}$"
- ],
- "text/plain": [
- " 2 \n",
- " P \n",
- "-w + ────────────────────────────────────────\n",
- " 2⋅A_\\mathrm{f}⋅E_\\mathrm{f}⋅\\bar{\\tau}⋅p"
- ]
- },
- "execution_count": 88,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"u_f_x.subs(x,0) - w"
]
@@ -1535,28 +1125,13 @@
},
{
"cell_type": "code",
- "execution_count": 89,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\sqrt{2} \\sqrt{A_\\mathrm{f}} \\sqrt{E_\\mathrm{f}} \\sqrt{\\bar{\\tau}} \\sqrt{p} \\sqrt{w}$"
- ],
- "text/plain": [
- " ______________ ______________ ____________ \n",
- "√2⋅╲╱ A_\\mathrm{f} ⋅╲╱ E_\\mathrm{f} ⋅╲╱ \\bar{\\tau} ⋅√p⋅√w"
- ]
- },
- "execution_count": 89,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"Pw_pull = sp.solve(u_f_x.subs({x:0})-w, P)[0]\n",
"Pw_pull"
@@ -1575,54 +1150,26 @@
},
{
"cell_type": "code",
- "execution_count": 90,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ A_\\mathrm{f} : 1, \\ E_\\mathrm{f} : 1, \\ L_{b} : 1, \\ \\bar{\\tau} : 1, \\ p : 1\\right\\}$"
- ],
- "text/plain": [
- "{A_\\mathrm{f}: 1, E_\\mathrm{f}: 1, L_b: 1, \\bar{\\tau}: 1, p: 1}"
- ]
- },
- "execution_count": 90,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"data_f"
]
},
{
"cell_type": "code",
- "execution_count": 91,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\sqrt{2} \\sqrt{w}$"
- ],
- "text/plain": [
- "√2⋅√w"
- ]
- },
- "execution_count": 91,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"Pw_pull.subs(data_f)"
]
@@ -1641,7 +1188,7 @@
},
{
"cell_type": "code",
- "execution_count": 92,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1665,39 +1212,13 @@
},
{
"cell_type": "code",
- "execution_count": 93,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "e6726e8787ff44649c45acdd6b2a2ff9",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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' width=700.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"fig, ax_pull = plt.subplots(1,1, figsize=(7,4), tight_layout=True)\n",
"w_range = np.linspace(0,2,50)\n",
@@ -1716,7 +1237,7 @@
},
{
"cell_type": "code",
- "execution_count": 94,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -1727,37 +1248,9 @@
},
{
"cell_type": "code",
- "execution_count": 95,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} w + \\frac{L_{b}^{2} \\bar{\\tau} p}{2 A_\\mathrm{f} E_\\mathrm{f}} - \\frac{\\sqrt{2} L_{b} \\sqrt{\\bar{\\tau}} \\sqrt{p} \\sqrt{w}}{\\sqrt{A_\\mathrm{f}} \\sqrt{E_\\mathrm{f}}} & \\text{for}\\: L_{b} < \\frac{\\sqrt{2} \\sqrt{A_\\mathrm{f}} \\sqrt{E_\\mathrm{f}} \\sqrt{w}}{\\sqrt{\\bar{\\tau}} \\sqrt{p}} \\\\0 & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ 2 ____________ \n",
- "⎪ L_b ⋅\\bar{\\tau}⋅p √2⋅L_b⋅╲╱ \\bar{\\tau} ⋅√p⋅√w \n",
- "⎪w + ─────────────────────────── - ───────────────────────────────── for L_b \n",
- "⎨ 2⋅A_\\mathrm{f}⋅E_\\mathrm{f} ______________ ______________ \n",
- "⎪ ╲╱ A_\\mathrm{f} ⋅╲╱ E_\\mathrm{f} \n",
- "⎪ \n",
- "⎩ 0 \n",
- "\n",
- " ______________ ______________ \n",
- " √2⋅╲╱ A_\\mathrm{f} ⋅╲╱ E_\\mathrm{f} ⋅√w\n",
- "< ───────────────────────────────────────\n",
- " ____________ \n",
- " ╲╱ \\bar{\\tau} ⋅√p \n",
- " \n",
- " otherwise "
- ]
- },
- "execution_count": 95,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"w_L_b = u_fa_x.subs(x, -L_b).subs(P, Pw_pull)\n",
"w_L_b"
@@ -1765,27 +1258,9 @@
},
{
"cell_type": "code",
- "execution_count": 96,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - \\frac{\\sqrt{2} \\sqrt{A_\\mathrm{f}} \\sqrt{E_\\mathrm{f}} \\sqrt{w}}{\\sqrt{\\bar{\\tau}} \\sqrt{p}}$"
- ],
- "text/plain": [
- " ______________ ______________ \n",
- "-√2⋅╲╱ A_\\mathrm{f} ⋅╲╱ E_\\mathrm{f} ⋅√w \n",
- "─────────────────────────────────────────\n",
- " ____________ \n",
- " ╲╱ \\bar{\\tau} ⋅√p "
- ]
- },
- "execution_count": 96,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"aw_pull = a_subs[a].subs(P, Pw_pull)\n",
"aw_pull"
@@ -1811,39 +1286,13 @@
},
{
"cell_type": "code",
- "execution_count": 97,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "cb4d1334232c42ebb3715b85d07eb34a",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=700.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"get_Pw_pull_args = sp.lambdify((w, A_f, E_f, tau, p, L_b), Pw_pull)\n",
"ds16 = 16 \n",
@@ -1974,8 +1423,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb b/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb
index ebbb50a..42220e4 100644
--- a/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb
+++ b/tour2_constant_bond/2_2_1_PO_configuration_explorer.ipynb
@@ -12,35 +12,11 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/NXB9BCt_UNk\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f54e59134c0>"
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('NXB9BCt_UNk')"
@@ -88,35 +64,11 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/P0bfIwI0_rc\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f54e5aaa790>"
- ]
- },
- "execution_count": 8,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"YouTubeVideo('P0bfIwI0_rc')"
]
@@ -150,26 +102,11 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "4745da4ccf744248a1138335656db962",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pull_out import PO_ELF_RLM\n",
@@ -205,26 +142,11 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "032aebf60cc14b429648493a29ddaf68",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pull_out import PO_ELF_ELM\n",
@@ -254,26 +176,11 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "79a6faa9b3034aa7928f7dd9db4ba366",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pull_out import PO_ESF_RLM\n",
@@ -303,26 +210,11 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": null,
"metadata": {
"tags": []
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "d748720639f647aab25d6915d5e05ad4",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pull_out import CB_ELF_ELM\n",
@@ -476,8 +368,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour2_constant_bond/fragmentation.ipynb b/tour2_constant_bond/fragmentation.ipynb
index b2baede..c3dea48 100644
--- a/tour2_constant_bond/fragmentation.ipynb
+++ b/tour2_constant_bond/fragmentation.ipynb
@@ -23,34 +23,10 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"id": "5287f7df-3d9d-4aba-b454-8a199c9f2238",
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/6Lzj6CH376w\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f869c368610>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('6Lzj6CH376w')"
@@ -157,25 +133,10 @@
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": null,
"id": "labeled-regression",
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "67207b8fc58e4743a26d0b71f94fe80e",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pull_out import CB_ELF_ELM\n",
@@ -431,7 +392,7 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": null,
"id": "regulation-bronze",
"metadata": {},
"outputs": [],
@@ -454,7 +415,7 @@
},
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": null,
"id": "stock-interval",
"metadata": {},
"outputs": [],
@@ -469,42 +430,20 @@
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": null,
"id": "junior-patrol",
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "26570.0"
- ]
- },
- "execution_count": 29,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"E_c"
]
},
{
"cell_type": "code",
- "execution_count": 30,
+ "execution_count": null,
"id": "e77defe7-ce4a-42f2-9ac2-8cbdc5302d5c",
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "0.01"
- ]
- },
- "execution_count": 30,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"V_f"
]
@@ -519,7 +458,7 @@
},
{
"cell_type": "code",
- "execution_count": 31,
+ "execution_count": null,
"id": "fundamental-bulletin",
"metadata": {},
"outputs": [],
@@ -535,21 +474,10 @@
},
{
"cell_type": "code",
- "execution_count": 32,
+ "execution_count": null,
"id": "bb9b6f0f-ad91-4b18-a65f-b19873afd2b4",
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "(3.1884, 13.8)"
- ]
- },
- "execution_count": 32,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"sig_2, sig_4"
]
@@ -564,36 +492,10 @@
},
{
"cell_type": "code",
- "execution_count": 33,
+ "execution_count": null,
"id": "nuclear-firmware",
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "7f5b3206dbc1419cb45564bf9f1fae1e",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=700.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"import matplotlib.pylab as plt\n",
@@ -625,21 +527,10 @@
},
{
"cell_type": "code",
- "execution_count": 34,
+ "execution_count": null,
"id": "engaged-breast",
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "97.79047929936306"
- ]
- },
- "execution_count": 34,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"A_c = 100 * 100\n",
"d = 16\n",
@@ -660,21 +551,10 @@
},
{
"cell_type": "code",
- "execution_count": 35,
+ "execution_count": null,
"id": "molecular-french",
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "0.020096"
- ]
- },
- "execution_count": 35,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"A_f / A_c"
]
@@ -702,25 +582,10 @@
},
{
"cell_type": "code",
- "execution_count": 36,
+ "execution_count": null,
"id": "martial-sense",
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "c5ef28a72b9f41ea9507d1bca2764c50",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from pmcm import PMCM\n",
@@ -770,7 +635,7 @@
},
{
"cell_type": "code",
- "execution_count": 37,
+ "execution_count": null,
"id": "hungry-momentum",
"metadata": {},
"outputs": [],
@@ -786,21 +651,10 @@
},
{
"cell_type": "code",
- "execution_count": 38,
+ "execution_count": null,
"id": "stone-harmony",
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "32771.0843373494"
- ]
- },
- "execution_count": 38,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"A_composite = width * thickness\n",
"n_rovings = width / spacing\n",
@@ -813,25 +667,10 @@
},
{
"cell_type": "code",
- "execution_count": 39,
+ "execution_count": null,
"id": "needed-suspension",
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "d09aa261ec5643faa95269ffb8d73f3e",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"pm2 = PMCM(sig_cu=20, sig_mu=4, m=8)\n",
"pm2.crack_bridge.trait_set(E_m=E_concrete, E_f=E_carbon, tau=8,\n",
@@ -1004,8 +843,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
}
},
"nbformat": 4,
diff --git a/tour2_constant_bond/pmcm_comparison_fragmentation.ipynb b/tour2_constant_bond/pmcm_comparison_fragmentation.ipynb
index a7ad929..69d13a9 100644
--- a/tour2_constant_bond/pmcm_comparison_fragmentation.ipynb
+++ b/tour2_constant_bond/pmcm_comparison_fragmentation.ipynb
@@ -181,7 +181,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": null,
"id": "regulation-bronze",
"metadata": {},
"outputs": [],
@@ -202,44 +202,10 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"id": "nuclear-firmware",
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "[0, 0.00012, 0.0012078032967032966, 0.007038352747252748] [0, 3.1884, 3.1884, 13.8]\n",
- "[0, 0.00012, 0.0008415395604395604, 0.007221539560439561] [0, 3.2826, 3.2826, 20.7]\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "6bcbb9857d784a52b7077ee7b1f5890b",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=700.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"import matplotlib.pylab as plt\n",
@@ -265,7 +231,7 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": null,
"id": "6668d655-5fc3-48aa-ab42-978c7025fe54",
"metadata": {},
"outputs": [],
@@ -293,7 +259,7 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"id": "2a4cffa3-a117-45ac-96a0-6a5fac9c4523",
"metadata": {},
"outputs": [],
@@ -303,7 +269,7 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": null,
"id": "0e9dfb24-4eaf-4202-bf5c-aef6d904dc70",
"metadata": {
"jupyter": {
@@ -311,19 +277,7 @@
},
"tags": []
},
- "outputs": [
- {
- "ename": "NameError",
- "evalue": "name 'A_c' is not defined",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
- "\u001b[0;32m/tmp/ipykernel_535/3727053799.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0mtau\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m3.8\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0;36m1.337\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mA_c\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0msig_mu\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mT\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
- "\u001b[0;31mNameError\u001b[0m: name 'A_c' is not defined"
- ]
- }
- ],
+ "outputs": [],
"source": [
"tau = 3.8*2\n",
"1.337 * A_c * sig_mu / T"
@@ -453,8 +407,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
}
},
"nbformat": 4,
diff --git a/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb b/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb
index 43aafc8..9483e2d 100644
--- a/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb
+++ b/tour3_nonlinear_bond/3_1_nonlinear_bond.ipynb
@@ -17,33 +17,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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HTDnOjpa3+MjgZAv1LINpvjNyL45XJEGYyZp0424TvUDa5t/Yq3jcbTOvZF+HWg1jAUbcwQNApo4OmxuUCbEEkyTNysh2q5rWZqFSXUmvMAwCYlvaFT7WqtnNhnnpEZZNgXRMjUwPH4hu9CpTOQTM711p0wwQ0QF5ztqubmLqDwATJ4QJ+ImbrdhMQKtJlQCA5oMdolB2REQEREBERAREQEREBERAUKUQeQHE4moCSQKggcP7bVuWZ+HLK5cSIqPkdUMA/RakEFokGBI0KrhOnV7R5LlUxGV4bDbmLug7t3xXXCdOr2jyQa0REBERAUKUQQilEEKURAUKUQEREBQpRBCKUQQilEBERBCKUQQpWfEY2nSID3QSCdCbAEnTqBVBtKje5sYPNdbUE6aDK6/Ug1Isj9pURvJtNmnS0f8Ac3vU1toU2NzHN0c8ZTMQTfgTB1Qa1CzVMdTZAecri3NBF4/gPcqP2pQb0nxuEtN+McYhBsUrC7alMGOcbEzlO7N9JXShtGjUIDHSTMWO4A+RCDSiy/aVHiePRdpa+l+kI4yq/alDTPeJjKZsJNoQbCJ1RQx4cARoRIVkBQpRBCKUQQQilEBERAREQEREBERAREQEREBQpUIMuL6dLtPkrqmL6dLtPkroCphOnV7R5LzsTtR1PFMoinmYYBIJkE6eANt/wXo4Tp1e0eSDWiIgIiICz4xzgyWuyx1Wva/Ve60IgzVsSWOpAgc90HqsY8YHxWlZ8UwONOR98eRPmAtCAiKEEouVTEMaYLr8Bc9wuqcrUd0acDi8x4CT3wrg7qlSuxnScAToN57BvXPkHO6dQnqbzR4X8V0p0WM6LQOwaoFKpmEw4DrET8NVdea7G1GF39okZnQTN4JtAB13KcRi8RlIZS55cQ03iBFzw18Frij0UXlUa+LJH9vmwYDrEagZjPUCY4qxxFSiYc0EPcCI1lzuc2JMkSOpOB6iKlNxIkjKeE/srrAIihAUrhWxGQwW9l9eoda5jFOEh7QHDcHTPZbXqTWua61cNTeZexrjEXHaP1PeuDhQcYyBzgdA2byTPe436yrHEmCHMg8M1zusudF7aYjk2sPUdewxc9WqbDmrjDNvFBgnXMR1HcD7I7ghw8xNGmQ0QOdoNIuFppuJaCRlPCZVkZZyym9/PZD4+8LxfQ/E96hmz6LdKbdZ08uC7vaDB4XC4Oxe5rHOdwsCOMyU1ZLXR2EpHVje7t/c96NwtMEEMaIMi2hNrKnpdgQxxncIm2u9Di9MrHOncMvx3qavNRSwFJuaGA5yZm+sW7LDuVxg6WvJtkCAYGkEeRPeq+lgxDXEkxFp+N7LQqlliGMDQGtAAFgBuVkREEREBERAREQEREBERAREQEREBERAREQFClQgy4vp0u0+SuqYvp0u0+SughVwnTq9o8ldUwnTq9o8kGtERAREQFzq1QyJm/AE98aLoqVqedrmyRIiQg5PqB3JlpkZ/wBCutSq1glzg0dZheVtSnUZh2h1VznGsOcIaQC7oiOAMLQzBPpmWuDjxIAd8XQfJBo5dzugw/8AE7mju18E9Hc7pvJ6m80eF/Fc+UI6fKt6wA4eAnvC6Uy1/Rqk9hH7Jp5+s5zsq5Wty0ubzmtGsmRHXa/+63rnyR9t3h+yckfbd4fsrbq5HRFz5I+27w/ZOSPtu8P2UMdEXPkj7bvD9ldogaz2oLLJiaDi9rmgEEtDuoNOYEeNuxakVlxEoiKAoUogpUBI5pAPEiVwOHduLRxsb+OvWtShFlxmOHduLR8D+9j1qAwkkNc1pGog6cf8ro7F0hrUYNfvDdqofUpOJBcyW684SLT8LAlTDquzBAAXDEPvGYdbbknu3KratMuDG17mQAHNOmovKhtSk54ZyudxmAHDdEzl7RqibUUf7gMEFgMZSCL/AB1C6Cg6b5SOzzO9GV6LRaoyDfpCOFupX9Kpf6jN33hv070xeqpToODp5sdl/id67NYASQACdTxXFmOouEio2NNYvw7V09IpxOdsTlnMNeHaqW2r5RMwJ4qyzsx1FwaRUaQ7S/Zu+I71IxlL/UZETMiIvv03HuRHdFAMiRcKUBERAREQEREBERAREQEREBERAREQEREBQpUIMuL6dLtPkrqmL6dLtPkroCphOnV7R5K6phOnV7R5INaIiAiIgIiIPM28f7LP/tZ/3BekvP22Joj/AIh+q9BEFzqUGO6TQTxi/euiIrh6OR0Hvb1E5h438UmsNzH97f3XdFExw9Kjpse34SO8T4rrTqtcJa4OHUZVlzqYdjjJaJ46Hv1QUxNZzcoaJJ6jHZI07V52IxVZ2Ucm6YzlokWzcdbQO/RekMOR0ajwOBg+d/FdMgzZt8QpZallrM6vVJgUrTE5uyT4mOxUrY1zGc5hY6wbN9eJ0nqlbllfQPKTlzS4HNvAG7s7Eulld6NTM0HfvgGJ6pXRQi00lFE30+KlAREQY6WzKTNAdZ1/4foaqnZVKI50RA52gggx2yVuRBnp4NjXBzZBAjXcSTHeVGHwNOn0Z0jU6Q0R3NC0og8/7JpAANLmwQZB6wf0/VXo7MosdmaDOuu+InwC2IgwnZNEgAgkN0k6bj3ye9dfQKeUtvGfProerh8FNbEua8NFMunSCL8SBwEgXhds9wN5E90fugzN2bSAgA6Aandlj/saoOy6RJdBBIyzO7hBtuHctbnAakDtVeVG4E/D90FqbA1oaJgCLmT3qy5y48B4oGHe4nwQdEUKUBERAREQEREBERAREQEREBERAREQFClQgy4vp0u0+SuqYvp0u0+SughVwnTq9o8lYBVwnTq9o8kGtERAREQEREHn7aP9n/mH6rdmHFUr0GVG5XtDh1936qPRaX+mz8oQdcw4qMw4rn6NT/02flCei0/9Nn5Qg6ZhxTMOK5+jU/8ATZ+UJ6NT/wBNn5Qg6ZhxU5hxXL0an/ps/KE9Gp/6bPyhBZ9ZrYlwE8SrrPWwdEjnUmkDdl1+G9TgmkMuSbmJEW7N3Yg0KFKIIUoiAiIgIiICIiAiIgIqvbIi/wACQqcgOLvzO/dBNSix8ZmtdGkgGFzrPDajd5ykAcTLbKajGtEkv/M6/ULrizD/ANxpcXSWutmNhLbIO7aIPOeA53Zp1BW5JnsjuCjkRxd+ZyciOLvzFDU8iz2W9wUtptGgA+CryI4u/M5cKdX+9kaCQBJJc7yPw7+1DWtSoUoCIiAiIgIiICIiAiIgIiICIiAiIgKFKhBlxfTpdp8ldUxfTpdp8ldAVMJ06vaPJXVMJ06vaPJBrREQEREBERBCIiApREEIpRBClEQEREBERAREQEREBERAREQFBIGtlKpybZmLoOZIOmY9hPmbJyTjvI/5iV2RDXJmHAIcSSRpJ/RWLTnB3BpHiP2XRQglQpUICIpQEREBERAREQEREBERAREQEREBERAREQFClQgy4vp0u0+SuqYvp0u0+SugKmE6dXtHkrqmE6dXtHkg1oiICIiDnVqtYJdMSBoTc2GiNrsIkOBETruSqGkDNpIOsXBBHiAsrcLh5JEE5YsZ5oGXykINXLM9pveP5vTlme03vHwWT0fDTEjnXjNrl/ZG4DDyI1E6O4G6DXy7PaHfw1RtdhAIe2DcXHYsZwlAFjw4ANv0rHUjzKn0PDEjTo2Gbdp+iDU3EUyJD2xpqOMeYKltZh0cL218FkZgsPciDYknNuMyZ7+5QzD0A9ha6C0m06nX/wApQbeVZrmbbW47FArsInM2O0LLTo4cBwa4fdB53C7Fwr4GkKbm0XNp1PukmYIINwdYMd6D0eWZ7Te8cY80FdntDv8AisAwOGbDXQ1waJGaIE6948F1dgaOZt4y6jNqJkA/FBofiabRJe0DjPXHmrGsz2m96yejYa/OERfn7tQdUGCwxDtNS53O7QSfFBr5dkTnbETqNOKcsz2m94WVuHo5nOD7OkRNpsXR+UdyqcHhgLxDg0a6jdB+CDX6RTjNmEbr63jzQYimSQHtkWNxa8edlnNGgMsuFjPS4yZPee9RUw2Hddxacx9rUu3fH9UGrlmXGYWMG+/ggrs9puk67uKyVMNh3y4uBza87dafGFY4bDy+4vZ19C79bINLa7Do4b9/DVG1mHRwPxWRmGoMfOYA8C/fzr9xKNwWGDs1iWGekTBtr3BBqdiGAElwAGt9JsFYVWESHCInUacVldRw4a6SADdxzdeveEbhsOcxGWX2N+N48rdSDSazPab3jt8kNdntN1A13nQLGMLhgMwIi0nNxNpPbe6k4fDsh0gZPxcDmv8AGEGttdhAIc2+lwoOIZbntvpcX1/YrKcJhxIngTzvZkD4CVYYTD6yIAk860ERPcUGk12AwXAHrKcuyQMwkmBfUrPUwtAkkxJn735lzGGwxcYcJBBs/QgGO4T3FBs5ZntN7wo5dmbLmbOsT8fJY/Q8NAuIaLS7QcRPb4rrUwtAmHRMAXd1QPLwQaeUb7Q0nXdxVX4hjdXtHx+HmVlqYXDuyDNAyQ0B0S0Wt2IcBhriwzXs6JBIv4BBsFRpMBwnhPDVQazAQC4SbC6zNo0Gc8OAuDObgI7oMKowmGzEiMzzPSNyOd/Pgg1cuz2gbxY74mO5SK7JAzCSYAneLkLL6Lhw3KSIzZ+lob36t6szC0GkOBAyn2t5EX7z3oO/pDL89tom/GY8iodiqYiajBOnOF7E+QJ+BWd+Bw7mmkYINiM1+H/l4hcXbMwjnkGC50mM54EaTwcbdaDf6QyYzNntUHE0wAS9ozREkXnTyWJ+zcJlabBrCCIdABaZHcVNTAYV9zHQydOOaBF/gfFBtfiabWlxe0NAmS4RA18j3KTWZ7Te8LDV2dhhmLrTmnnnR13DWwkyqnZmEe0yA5riRd03JBi//CLIPQfWY2czgI1koyux0Q4GdL6rK/C4dzs5iXiJza6C27d5qWYfDhwcCJgRzuEfQO5BoZiGO6L2ndYjfcKRXZ7Td41G7XuWX0bDyDzZBBF+ER+in0ShOaRJcfvb7kjxNkGjl2X57bRNxadFPLM9pveOzzXFmBpgc2YMaHgSR4kn4qp2ZRIgtkW3ndog2KEARBlxfTpdp8ldUxfTpdp8ldAVMJ06vaPJXVMJ06vaPJBrREQEREHLEMYWy8wG3mYixGvYSuNPBUWggbwR0uOviuuJw7arcrtP8EeRKzjZVECIMRGvUR5FAdgKEcBAFnHSIHgFduCo5piTBGs2vb4Se9c/sqj13jf/ADiVDcHRFWA4AxBZInQgHulBf0Cj18Okez9lNTC0ngXsHHQ75JPjKfZtKdLSTG6TqVR2yqESRYAi53an90FmYKiw9bhlkm5m/wD4+Cs7B0S0NOgtGY30/Vo7lcYVmflN+o7o8o7lm+yqMiCZbqJFwcwv3lBd+Dw4AmAAZ6WpsPMBWZgKIIgaEHpHVtge0fqqM2ZQLSAPwmDwOnir4bBUmuz0zeNQdQYI7bQgl+Go1HFxgmcpObs5vgLKKmCoucXHU6kOjdHkjMHRc2Bzg4l3SmTBaT4qrtmUIMiBAGugBnzQHYCiIb0TIcOdexH+yU8Lh29GBm0Idwh1j8AfgpqbPovfJ1G6eqPIR8FX7MozqZA46DigucHRIDNzN2Y2zcUqYOhUAJuIjpajpR+qM2dSAIAMGPCfqPeuX2dQjNNr3zCOGv8ANEFm4KgSQCZ0MONj+h/dWp4KgHSIkRoeEOA8io+z6NzwJJM6cZVaezaBHNMiTcEazfxHggv6HQbzjoCHSXcND8EZhKAGQHokGM2kTH6q7sBTOURZsx8bnzXOpg6FRzgSC46gETrJHeghmzqEZdSInnbwLEjjeV0GFoiwAuDadxInyCq7A0aj3OmTN4I1Fv8Ax8EdgaLA4mGggtMkRziOPEgIK/Z2HEbrQOcd9j3zHxVhgaQLC0xl69QDmHjdc27OoZcxMt6WabRbfwtPirHZtBoANiSQCSJJI/wg6+i0mB24GCZJ3GR4rk3A4czG8SecdDI8pCn0GhUIcDmygNkOnQW+MR4K1XZtJ8TNgBrwmPMoIOAoDmwBMWnWJjwJUjBUwXmTDoOukGZHxupqbPpOcXEG8b+FguQ2dh824unSd4Idpx070HU4OlDW6ZJiCbTc/oubcFh3gECREanS/wDPguwwlNrs+8XmeDcvkuT8HQAzl0A78wi4jXrCCKuDouJaDlc7nSDe0381ephKLjBJkQYzHsBj4DuXT0NnN4NbkA3RELgzZlAtsJBGszIuRf4oLvwdF4jc2R0rXMnxR2BokydA0NibANmD4lHbOplpGkxOl4JP6lUdgKAcAbEmwnUx42b4dqCfQqBnjMk5jrcz287yV6WAosdLRBF9eoi/eVzOyaPA9/wXQ4akahEy4tgtncIvHwHegqzAUQQRJI05x/hVfQaLWOaXHK7dmi17f9R71J2bQESIGgEq32dTlvBugtrJM+JQWqYWkXZjrMyDv3Hx8Vzo4SjTIOa5PNk6cAFDdk0ogzF98WsI8O+6l+y6ZzG8ka/rAQS3BUAY4DTMbA9SHAUIdO8yecd2/wCCmrs2k/WeiG67hP7lVOyqVzfv+P796CX4LDucCQJLQBc6CI/RS/B0S2DpmDukdYgHwSps2k5wcQZHX1AeQChuy6QEXtp2wR5FBY4aiYbY5ZgT7WvmqPwNANl2gB5xdoIvf4eCM2VSAAvYKztm0i0NgwARHUY/YIKMwWHBIGoEEZtARGnYpGApBvJuJO+5i1hHZZqvW2fTeXFwMuIJ+Giips2k4gkG3X1AeQAQaW1GkAgiIkGdyCo0kiRIsVkbsqiBEE2i/Voh2VRvY36+yPJBtBlFzw1Hk2BszqZiLkkm3xXRBlxfTpdp8ldUxfTpdp8ldAVMJ06vaPJXVMJ06vaPJBrREQEREHDF4UVQ0OMAGbRwI+Gq4fZVLr0A3bhHDx14QtyhBiZsum0gguBBB+7qPh1rtWwjHmXTNvDNB/6itCIMB2XTyMYC4BsxpvMnd1KDsikZkuM66XtHDrXoKEGNmzKYINyRBExuMjd/NFB2VT513DMZMRxJjTrW5EHnjZFLi7Un7up6ohdqeAptLXCZaABPACPJakQYG7JpDLEjLppxngrVNmUnEkzeZ03kk7uv9FtRB5/2PS4u0j7vGeF/j53V6ezabSSC6TI13HX/AH161tRB59bZFJ7Mji6MxfYwZPZu0PaAub9hUCZ5wuTAiJIgnReoiDE7ZlM1HVDmlzS0iREHVc6WxaLHteM2ZpLtRckkkkR19wheiiDyW7BpDNznw5xdAy72hsG19DffN5VnbBoluWX9ENmRMD4L1EQeYdh0CCOdfNvH3pnde5lXqbGouLSZOVjWDTRpBG7qXoIg8v7BoQRzoOadD0hB1H800stH2bT5blr5pB3ROXLw4f41M7EQeW3YVAZYzDK5rtR90QAbcFarsSi97nkvlxcTcRzhB3fzsXpIg837EozJkmx+6LgEA2HX8N0KRsakGtbLoa7MNNbcBbQXF+teiiDy/sGhEc7SJ5ukzERETuhXqbFouMkvuzJ0t0zvXoog85mx6YphhLjFQVJEDnARw/z1rkdgUZHOfA3SJ6r6jffXdMCF6yIPOdsaiWMYc0Ma5o00drutruhWqbIouySDzBDdPxRu3ZjHwW9EHmfYlLLTZLsrCTFpJJB1+Hb16qzNj0hMuqEkOBOaDzjJ6ML0UQedS2PSa5rgXS0yJyxMgkxFuiBAsN0Krth0CZ5wNtI3HNOnFemiDyqOwaLQ0EudGukG0aRYdW/fJVmbDotcHNLwWkEXFiBAMR2f7WXpoghSiICIiAiIgIiICIiAoUqEGXF9Ol2nyV1TF9Ol2nyV0EKuE6dXtHkrKuE6dXtHkg1oiICIiDyf6lrVWYQmi/k6hqU2h0TGZ7W6fFebg9vVTiKgcLh9Ck6mdGPcajXxx6II4iF+krUWVBle0OEgwRNwZB+BC41tm4epnz0mO5SM5LRzsvRk9W5B49bb9bnCnTpyPSLucYii4DdvMqh/qKuIY6kzO808mXO4AVGudcAS4gMOms7l7bNm4dohtGmAA4QGjR3SHxgSoqbNw7gQ6kwghoPNH3ej3SY4IPI+2sQ8FvJCmRQfUfLiCMpc3miN+UETouuC2vWqOADafJs5Jry98OJexrpG62YW33XqMwFBohtJgGTk4DR0PZ7Lmyr9mYflG1ORZnYAGuyiQAIHcCUH56r/AFBXqU3gZWmKT2PYHgZXVWsIGcDMI+8AAZXq7c2pVw2UsphzcrnPcQ5wbEQCGAkAyedBAhaaWx8KwENoUwDEw0bjmHcQCOC6YzZ9CvHLUmvyzGYbjqOwxog88bcJcQGNI9JZRBnUOY1+b/qWEf1NWbRFZ9KnD6NSowNcSZpkAh1tDO7Re4dl4Y1eVNGnykg5somRYHtAWGn/AE1h24Z9EABz6ZpuqhozEG5/TuQcXbcrtqcgWUuWc9jWuDjkAe17r75AputvkaSrYTbVetUp0m06YceUzkuMDk6gYctrzK9BuyMKKZpihTyOOYjKLkaHtXahgqNPLkpsbkaWtgAQ0mSB1SAg8rD7WrN2X6VUa19QNLoBgG8DdZcq23a7HmiabDV5XIC0Pc2OT5ScoGYnd4r2W4CiKRpCm3kzMsi1zJt2qK+zqFTNnpMdmcHOkXJAgGeMW7EHl4fbVeq4RSp08jKbqraj4MvJENOlsu/WYsuVH+oK7w9zcPmblqGn0m3Y6A0uIg5tbaaL13bKwxdTcaNOaYAZzRzQLtA7DpwUDZOGl55CnNQEP5ouCZI+JuUHknb9c0pbTa54qFj4ZVlgDc0upRn3gWm1+pSf6iealHK2m5j+SDsucwam/NAAiRANzwC9M7GwuTJyDMubNpviCZ1mLK32ThczXchTzNDQ05RbL0Y4RuQebT29UbRp4itTY2i+o5hIcSWgZ4cbby0COtevgar30ab6jQx7mhzmj7pImFnxuyadagKEBlLMHOaGiCA7Nl6pK9BAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAUKVCDLi+nS7T5K6pi+nS7T5K6AqYTp1e0eSuqYTp1e0eSDWiIgIiIOdasGCXTEgWBNyYGnWq+k04BztgzHOF417latkjnxEjU75keKyluG5oLm2kt5/wACZn4IO4xdI/fbrGourOxFMTL2iLGSLdqzOoYUGHZARuLoNp6+so9mGOYlzRJBcc8TwvOnO3cUHc4ukDBe3Sdbd/xCk4qnfnt5oBN9J071mFDC8W3/AB8dAL9UR8EFPDFsNcOeW9F5kkQWgX7NNyDQcZSEf3G3Majr/ZQMbRgHlGCRNyB5rPUZhRlktHCHGOvQ8PBS2hhQHRliL87d36WQafSqeYtL2ggwQTF7fuFLsRTAJL2gNsZIt2rgfR3f3ZabZ5B3DfHV+/FcKhwrg4ZsuY867gZ51r6WD/FBtOLpf6jLfiCh2MpCJe25ixlZRSwpBblgRmMhwiJ1nSL2VzRw2YGW5tBDp3jd2kINLsTTGr2jXUjdqqnGUp//ACN7x5ri2lh8gbmaRTETmuMsiSdxmb8VGTDAB0sAYYBzaEHTvPig0elUv9Rn5ghxVOSC9oIMEEgXNwFlOHwjS3oiZLeceqd/WO/rXSpSw5dLiCXH2jcjUaxwt1IOoxdImz2mxdYjQRJn4qWYqm4gB7SToJ1jhxWcNwpLjLOB53tX47+I4KWUsO1wIIBbaM1u6b6oO7cXSMQ9t9BInSYjipfiabSQ57QRrLhZZG4bC5rZcwPtGQZGl+ICtVpYV5c92Qk2JzRwtr+HwQaDiqYJBe0FpAIJAuRI8CpOJp357bEA30JMCfiuNajQLudlzAg9KL7rT1DuXNtPCtBANMAgTz9wiN/UEGo4mnAOdsGYuLxqobiqZ++25gXGvBcOTw5yiRzSY55mSe2ZkaqOQwwcBDZbfXTLx4Rn8UHcYykSRnbIMGTF9PNH4um2QXtBGom/cuFSlhiMzi0iS6c283MX6kf6MZJc28/eM31sg7+mUvbGk9mmvDpBT6TTgnlGQLnnDTj4hZxRwzTAIBdazzN4I320CrUpYVsAwJbMZj0ddx039vWg0+l0pjlG9436KwxFOJztjjI6/wBj3LIaWEeMxLYPO6ZHXMTbWVcjDgPlzTzw519CCANNNB+qDuMVTP32xxkR3/AocTTFi9lwD0hodCsvo2FgCW2m3KHtO/rnqmVY08NZxIIygNEmI0kD4xKDt6bS/wBRusa9UqwxVMzFRhy684W7VmOHwpF8pBvOckTYEzOsx1yurKdCYaWyZgB2u8x3eCDocVSABNRgB05wQ4ukP/cb3hUGBpCebqI1PGfhe6DAUQCAyJM2J1EwerUoLHF0pjO2e39VY12B2QuAdYgHfMxHcuJ2dRM83Uybkzed/YupwzCQ4iSABMnQGR4oKjG0TP8AcbYwZMQrPxNNpIL2gixEi28BUdgaRBBbY9ZVqmEpuMlt5nU/zcgDGUpjlG8dR8VLcTTLg0PaSdAD/OK5jZ1EaNjf0na8ddfJS3AUgQQ2CLAgmR2cP8nig6HE0wYL2g8MwVauLpM1eO+T3BVfgaLnFxYC4mSb66I/AUXEuLBLrk3vuQdXV2AwXNB0uQgrsMQ5vO0uLxrC51cFSeSXNkm5uY0jTRS3CUwWEN6E5bm069upQVbjqJAOdt9L37ld2JphubO2LwZ1jWOKp6DStzNJi53xPkE+z6MAZBA0180F/S6UxyjJ4ZgjcVTJDQ9pJMAAzuJ8gVQYCiARkEHdfuVqeEptgtbEGRc6xB8EHdQpUIMuL6dLtPkrqmL6dLtPkroCphOnV7R5K6phOnV7R5INaIiAiIg51aTXgBw0M6kdW7qJXA7NonVpPa537qdoYs0aecNDrxBdHisrttsBux4bzpMDVsGI65i95gRdBrrYGm/NIu4QSCf5uCr9nUZnJc6mT2/ztWZu2m6Gm+ZiBB3A8Rxjq3wrVtsMbk5jyXta+I0BIEWm4vbqQafQKUl2S5M6nWI8lFPZ9JpBa2CDOp7fje6yt22x3Rp1Cb+zuMG86dfUYuIVRtsc6aNS06FpmHFp3jtQbG7OogyGQZnU62/ZWZgqbRAbAgjU74nyC5jGl1PMxl8waQ4x97KdJ3qrtpNDGuyu50wLbhOsoOgwFG/M1bkNz0YiFH2dR9njvO9cjtZloa4iOrfuidZt1Lq/Gw8sDSSNTbgSguMHTmYJMEXc42Ou9Q3AUgQQ0yCD0ju037lzobRD3NaWOBdMaEW3yuX2sNeTfkiZ3zMRCDV6FT53N6Uzc7zJ7NB3Kp2dS9k7/vO367+FlQbRbDjldDQ06jeSI1tEb0OPjLNM84neLAEiY+A70HQYGnla0iQARqfvdLRQdn0cuXLzZmJPVrx0HcqDaTcjX5Hw4E6C0EC9+JCqdpjdTdETuvbdfqQdfs+jAGWwM6nW37BGYCkCCG6QdTqND1/5K4na1MTLX2gaDf8AFXftFrXlrmukRpHAH9Y60HYYSnmzxzpnU68YVHbOolxdl5x35jxniubNpNcQMjhzc14+Fh56KKW1GueG5Xc6INur990oOz8BSJLi25iSCRoIGnUqnZ1KIAIgh0hxmQuX2syYLHzbQTc6Bdjjm5yzK6QQCbRcxx4n9UEN2bRBBDIgyLldPRKcuMXdM3O8yY4Xus7dpiYcxwl2UaFS7ajJLcpkEgaXIMH+aoLDZlGIIJ7XO3fFSdnUT906R0nad65DarI6Lp4W+KvW2kxjiC19t8DjHFBL9mUSDDYJBEgm0zPmujsHTLg7LcaXMaRppoAuDdqsOjHkmAOjv039/DerUdpMe4NDXySRoNwnigt9m0IIyWIg3PEHzAV/Q6cEARPAkaEEeQXGhtNlQgNY+8xIjQT4iO8KKO021HNDWOg7zb4wg6jZ9ECMu6NTpM8eN1JwFIxzd0anx4rg7a1MTzXGwNgOq2vWrVtpBjnhzHQyBIgzN9NyC42dSyBhBIAi7jJsB+gU08BSa7M1sGSbE77FUqbQyuILHRuIjgDJ71FPabSHyx4yAk2nRBuReeNrN9h/RzaDT4lSdptkgMeSImw3/FBvRYqm0Wt1Y+I1ERoDx6wqN2q25NNwG7TxvYoPQRYRtNuUuLXRmyjSeiHafGIUDaYvzHW0iLiBv01KDeiwnaTcryGOlmWQYHSMforM2g1xcAx8tsRA1mI14oNiLB9qNIlrHm07urX4n9U+1WCJY8SCdBun9ig3osX2i3kxUyvgmNBwmddNyp9rMmMr/Dq6+v4b4QegiwHarBqx9xIsOB6+oq7seOYA1xLw07rBxjw/big2IsA2mJIcxw5+QEQZ0v1aqXbTYC4ZTIJA0uQYj+bkG5QqUKudjXQRImCroMuL6dLtPkrqmL6dLtPkroCphOnV7R5K6phOnV7R5INaIiAiIg44nECm0OIJkxb+dSz/AGm3K5waS1oabRvJGnVC0YnENptBdNzFu/8ARcHbSY0NLgQS0OiRafj1fwoKjajTmytdzW5rxwkBWO0WZHuLXQ2J0uCYteCNVQ7VZ7D9Ad036p4XUjaVEE5QS4uAgRJMdvCEFG7UpM5gpublMQA0D4XV27UYROV0TE83znqN9FZ2PZla4scQ7NuFgNZv5Lmdp0nDoOcN4IGl9xN9P4bILu2kARzHEFmeRHVAietDtSnezpmIt++7fwm6r9q0oMB0NgHSOrwBK6DG03tqc2cjZLTlM2m0EgoKfaAcwO5MnnQAY6y0/wDSpG0mlrnBrubEzA1VRtVmkEuG5lxrFiYlT9rUoJh0AxMD9/j8EFH7YYJAa4nm8PvfFdW7RaTGVwJEiY4ZuPAKcPtBr2kkFpAzEdV7z8D3FVO0KUNflJkGDDba2Jm1wepBU7VaNWOmYi3EA7+tdKW0GOIGVwk5QTETAOoPWo+0mlhcGu3ajUExPnrwXN21qI5xa4ENzaCYMdfYUF6m02NtBLpcIBFspi/C11f09nKCnfNMbrG+vdPxUVMeG5OY4h+mkzMDfvVaG02PcGgOvMGLQBMoKDazY5zHiY0g6/7FT9qNzRkfqWkmNRFtb6+XFGbXpuiGv50xYbk+1qfsvnLmiBp38LoJ+025XOyO5uWZgdLrmFDtpNkRTdmNmyALW37ld+02NAkG7c27jETKqdrUxqHb9Bw/g70EnaTcgfldBdlOggxO/d1qPtRhgNa4nhYb4jXXerPxzKZLchEHdES6976m/V1qh2tTG4zIBEjedfFBZ+0g2DkdlyB8iJg6CFD9pMYAcjspaHCI3zNp1tPxRu1GFrnAOsAYMDUxxUt2jTcHAtdZhc4EDQWIQTT2i10811gTuvAm17/Cd3FR9oyAQwkF4YLi8iZ4KBtanO+IJm27d5/wqG7VYR0XTEwIPbvQWZtKnkJDXANIboBrp/OxVO1mX5p0kXF+I/nXwXV+OAe5gaSW3OnAn9FRm1KbnZYdMgXA32G+9504FBNLaLXEDK68TpaSBx4kea5na9OTzXQDFo17+sdevBWftWm0kQ6Q4t3ajrJ61R21aJGYtJDbzAtpcX6/AoLHagluVjjLsuo6tL31XSntBrgSGPs0u3Xi1rqrdpsLXHK7mlodMfeMazuVBtikYs7r0tr+3kgk7WYPuVLQNBvE8VA2u0zzHTMaiN8Xnq3eK2YesKjQ4TB4x+i6IMg2g2XgtdLA4nTRpjjvVBtRhIhrojq1kACOsnxG4ytyIMY2nTysdDgHzExaNZulLaLXuaGtdDhra2kSJnetiIMf2kzLmDXkSQYA3R19YVHbVaACGOImJtwkxBvu71vRB552lSa53McHSA4wNe2b6eC6P2i0EDI+S0OgZZv1T1LYkIPO+1235joBiRBtGtuv4RJXUbRBDiGOEAm8CYIB3213rYiDD9q04Jyu0ndfq1139l9FDtqMD4LHAzlJtM9+i9BQgyjHtgnK+xAIgakSBr1t/MFxG16cTDogxpJjVbw0CYETcqyDE7aTQQMryS1r7RMOMaTO5cRtdg0YYndHCZt1/DUyvSi870QZsPjBUdAY5tiZMbjHFaVKhBlxfTpdp8ldUxfTpdp8ldAVMJ06vaPJXVMJ06vaPJBrREQEREEIpXJweXRbJl680/tCDokLy24fGNADajTzb5iTLv21XQsxmXpU83KbgR/b4b7z/N6D0EXjuG0GiAWOOUnTeMsA8Sb8L9S6luNAJzMJhxA425o/m9B6aQvP/wDVFjDzQYlwPGZi3VHeVNMYlwuQNdYmL5dN+koN8IsDaWKDQOUaTB1jW9tNNFatTxGZ5Y4QYygxYRc6cUGwMEzAniphYy3EZRBbN724nq4QmXEZbubmzTbhew8NUGxF57aWLyQXtmItxtvI7fj1K7GYjnNLvuSDwduAPCyDaix02YkGC5pGW06zG/4+Cq5mKkAPaRNzaY4afySg3IsAZisvSZm8FZzMTzIcLME9boI4cY7kG1FiosxN8zmdHh97j2KMuKkyWaAgTv3iY0QbkXnCni785sz4RGnHU9sLtGJy6sLs/YC39PFBrhF5ppYuDz2yfARHDXf2rpGJ5xBbacoO+DAntF+5BuhFiDcQ4MOaDvBi+sTA4QpDcTkbdpdfNFt9vDxQbEWFzMVHSbcXjcb6W7FXk8VAGZvbPhog9AtB1EosbG4i+ZzOjaOM2v3qMO3FZhyhZlvMa74/TxQbUhY6LMQG85zSQ0gdbt0mNP1UAYmWiW2DcxtBuc3xgDvQbVK89rcXaXMPGLce3q+CcnigTD2/G/gg9BFhyYnL0m5r9n3Y3cQfgVR7MWT0mCDI7OBte/8AlB6KhYnMxN4c3qNtO7Xw061GTFe2zW9tL2hBuUrCKeJyul7S6G5eAN827+QmIp4kgBjmi1z18dOzvKDciw1BiS52UtDZtPD+T4I1mJDgS5pEiR1b93X4fFBuRYuTrkuJcBrljtHVwBSmzEiQXNPMgW+9uJQbUWBjMVoXNGl7E9e5SxuJzXLAM27hwQbkWF4xJdbJlk9028EYcTmc0weaYdb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- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/M7JZNVzrgko\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f80604028e0>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('M7JZNVzrgko')"
@@ -217,1846 +193,9 @@
},
{
"cell_type": "code",
- "execution_count": 2,
- "metadata": {},
- "outputs": [
- {
- "data": {
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- "AAAAAAAAAAAD6AH0AEgAAABIAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
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- "dHNjAAAAAAAAAAEAAAABAAAAMgAAAAEAAADcc3RzegAAAAAAAAAAAAAAMgAASKkAAAx+AAAKFQAA\n",
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- "AAfNAAAEZwAABWEAAAQrAAAAFHN0Y28AAAAAAAAAAQAAADAAAABidWR0YQAAAFptZXRhAAAAAAAA\n",
- "ACFoZGxyAAAAAAAAAABtZGlyYXBwbAAAAAAAAAAAAAAAAC1pbHN0AAAAJal0b28AAAAdZGF0YQAA\n",
- "AAEAAAAATGF2ZjU4LjQ1LjEwMA==\n",
- "\">\n",
- " Your browser does not support the video tag.\n",
- "</video>"
- ],
- "text/plain": [
- "<IPython.core.display.HTML object>"
- ]
- },
- "execution_count": 2,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"from IPython.display import HTML\n",
"html_video_file = open('../extras/pull_out_animation.html','r')\n",
@@ -2154,7 +293,7 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -2182,35 +321,13 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} \\frac{s \\tau_{1}}{s_{1}} & \\text{for}\\: s \\leq s_{1} \\\\\\tau_{1} + \\frac{\\left(s - s_{1}\\right) \\left(- \\tau_{1} + \\tau_{2}\\right)}{- s_{1} + s_{2}} & \\text{for}\\: s \\leq s_{2} \\\\\\tau_{2} & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ s⋅τ₁ \n",
- "⎪ ──── for s ≤ s₁\n",
- "⎪ s₁ \n",
- "⎪ \n",
- "⎨ (s - s₁)⋅(-τ₁ + τ₂) \n",
- "⎪τ₁ + ─────────────────── for s ≤ s₂\n",
- "⎪ -s₁ + s₂ \n",
- "⎪ \n",
- "⎩ τ₂ otherwise "
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"s = sp.symbols('s')\n",
"tau_1, s_1, tau_2, s_2 = sp.symbols(r'tau_1, s_1, tau_2, s_2')\n",
@@ -2235,35 +352,13 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} \\frac{\\tau_{1}}{s_{1}} & \\text{for}\\: s \\leq s_{1} \\\\\\frac{- \\tau_{1} + \\tau_{2}}{- s_{1} + s_{2}} & \\text{for}\\: s \\leq s_{2} \\\\0 & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ τ₁ \n",
- "⎪ ── for s ≤ s₁\n",
- "⎪ s₁ \n",
- "⎪ \n",
- "⎨-τ₁ + τ₂ \n",
- "⎪──────── for s ≤ s₂\n",
- "⎪-s₁ + s₂ \n",
- "⎪ \n",
- "⎩ 0 otherwise "
- ]
- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"d_tau_s = sp.diff(tau_s, s)\n",
"d_tau_s"
@@ -2294,7 +389,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -2315,20 +410,9 @@
},
{
"cell_type": "code",
- "execution_count": 7,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "array([0. , 0.5 , 1. , 0.55, 0.1 ])"
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"get_tau_s(np.array([0, 0.5, 1, 1.5, 2]), 1, 0.1, 1, 2)"
]
@@ -2354,39 +438,13 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "f7d6aebaf8284c3a89283969d84d9b71",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=800.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(8,3), tight_layout=True)\n",
"fig.canvas.header_visible = False\n",
@@ -2413,7 +471,7 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -2429,7 +487,7 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -2495,31 +553,9 @@
},
{
"cell_type": "code",
- "execution_count": 11,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "76d7d1d1953142ac9c6f3e3b88d97fdd",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"po.material_model='trilinear'\n",
@@ -2556,33 +592,9 @@
},
{
"cell_type": "code",
- "execution_count": 12,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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h2XP0LHndLO9hMTjEwD+oW/m1PDeN3uW9GHHgnmtOI3NkTMXRE6UGlS1UmkguEjMIbVSx30wCTEnLPLoW77LTcSSxsnMxj2o2y0xlTYOLgjjz8Sgj88o64ymMZjoU7YIBGIIkLXzenM3GzEZDJbtaAIAgaAgXQl0LZEGt0JdC2RBrdCXQtkQa3Ql0LZEGt0JdC2RBrdCXQtkQa3Ql0LZEGt0JdC2RBrdCgt3BHWHirKrW7gjrDxQZC4Ou8BcHQEREBERAXaKlori1hgZNA4F0RBic/wB6M1xdd4KCnaHEWSuQSCL0EK/ZTNJhOqPBUaz7tlrmA6L2ByPSr1mM02GAJaMB0LfDtjn0kVc1nyIb04HTGCsosNImvJGI/cqtZrU58FzCwETJPuxA/Y6Jt1jDSRnCih+O/ZhnvTtIqEV6mEsIwBIEnOcJwxG97VmhaHuJDqZYIEGSZ92Cwa5u3g4OExhTM5TrLQWwRN9sSRNw4xH+XOg3FoqRO5nIcZ1SdGGOHtQ2h8fVE9B5p0acFobYAYLhMA/VuwkTrLXz9s8NvTubtpW0pM6s/He9GZ+zPjgrAKjph7gCHNg/4HaW251NZncO0orZFrudTWZ3DtKKnUc4Ey0RA4J1QdbnQToo2lxyew/dO0kunhM7p2kEiKM3tZvcO0hvazO4dpBIij3+szuHaQXjk9ncO0gkRRXnTF9k6Lp2kc5wzewfcO0glRaBrz9pncO0s7nU1mdw7SDZFrudTWZ3DtJudTWZ3DtINkWu51NZncO0m51NZncO0g2Ra7nU1mdw7SbnU1mdw7SDZFrudTWZ3DtJudTWZ3DtINkWu51NZncO0m51NZncO0g2Ra7nU1mdw7SbnU1mdw7SDZFrudTWZ3DtJudTWZ3DtINkWu51NZncO0m51NZncO0g2Ra7nU1mdw7SbnU1mdw7SDZFrudTWZ3DtJudTWZ3DtINkWu51NZncO0m51NZncO0g2Ra7nU1mdw7SbnU1mdw7SDZFrudTWZ3DtJudTWZ3DtINxmordwR1h4rJD2wSWkSBg0jP7yxbeCOsPFBkLg67wFwdAREQEREBd4K4Ou8FBStX9naPvK/ZPqmdUeCoWr+zr/eV+yfVM6o8Fvh258+kyIiw6I6/Ad0LdaV+A7oUiCN5utJDZ5goqld+9LaZMjGTEdKmqXrpuxe4pyUT91gRcBjGZ9kINTaHwCKRnGQTloxU9Jxc0Etuk8R4lA3d4M7ne+yRMZ4z7FqG2jWpe9BbWVqyYExPHC2QYVSzsvNcOcfkarar2LJ3SPytQYs1kFJt1pJHOcVFS8lsbXfXE33iDLjEYZDiyV9YdkYzQVq1jD3NcZlhJEEjPTGa3qULzbpyIjAwom7s1m/c29eaJA4iY/ftU+5u1z2BBpQswpsDG8FoAEknAc5WlmsLaRcWzvjJkk9im3N2uewJubtc9gQRGyS8Ok4cWEZEaJ49K1tlhFZoa44Ag4RxdIKn3N2uewJubtc9gQbU2XRC3UW5u1z2BNzdrnsCCVFSbaWOEtrh2fBAJwzwC2D3nK+csS1ozEzjj7lakW0VJ1pDCG1K7GPibpLf1iVjzmeC6o7op4dpEe9KkXkVNjqziMC0cZcWz7A2Z7Qp6JMuBMwYGHMD+qglREQEUVZxAEGCSBKbm7XPYEEqKLc3a57Am5u1z2BBKii3N2uewJubtc9gQSootzdrnsCbm7XPYEEqKLc3a57Am5u1z2BBKii3N2uewJubtc9gQSootzdrnsCUXGXgmbromOYH9UEqIiAiIgjrZDrDxCitvBb1h4qWtkOsPEKK28FvWHigyFwdd4C4OgIiICIiAu8FcHXeCgpWr+zr/eV+yfVM6o8FQtX9nX+8r9k+qZ1R4LfDtz59JkRFh0R1+A7oW60r8B3Qt0GtVpLSAbvOoKtnc679K5sZxmVNXDSw3+DxqpaPNw1oqREGDjlx4hBsbL/AO9/eVmk26ILpxOJ6cB2L59NlkdgBmQPtYniW9V1mLjfMumCYMyMIwQXw4HIgrZUrHVoA3aRG+0TjHSrqDCr2LJ3SPytVhV7Fk7pH5WoLKwTAlZXz6DWur1gbrgREXRlxg8Z55wyQTPtLHsBa7C+0aMZB41aUFZga3egDftyEfaC2q1YIa0S45DmkSff7UEi0qVmM4Tmt48T7FWqXWkAmpUfgYBOMcZAhoHTASlZHccUhqUgB2uiT7I9q1QmNoGN1r3ET9mMucwFC63AGJptOgvl2WqFJ5jS+02/1yX/AJiVOxgaIaABoAhPAoiu92W6uy4NMMH/ANiz5u92Bpsgj/yPL+OcWxHvV5E3CnQsTmNuh4YJmKTA0Y9a8pPMmHhF7us8x2THuVhZU3Se1elYqTHX2U2NdES1oBj2KdFlJm/YwoqXCqdYflapVFS4VTrD8rVBu+o1olxAHOYUNWgXkubUIDmXRExj9oQVjyjO4ujPDxHuUxqtbgXNBAkyRlp6EEJpFsS4mak9vErSgqPDg0tIIvjIyoLSX3zFRzRoF39QixFryL5kv5V/+3ZTf8o/tHwUtrY+msL5l069TvlY3P8AyqfiP+KWbH1FguAzIC+XuLeMT0knxQWemPsM7oS12QvutdIZ1GD7wWpt1PWJ6rXHwCqgAZYLKWbYTm3t4mPPsj8xC1NtfxU+86PAFRIpZthNRr1HPANwDjABJ7Z/RTUeFU63/Fqr0OGP3xKxR4VTrf8AFqsM5JkRFWRERBHWyHWHiFFbeC3rDxUtbIdYeIUVt4LesPFBkLg67wFwdAREQEREBd4K4Ou8FBStX9nX+8r9k+qZ1R4Khav7Ov8AeV+yfVM6o8Fvh258+kyIiw6ILa4to1CMw0n3LzX9Q2j/AA7vzXp7QJpuByIKh9G0ORp90LtpZ4Y3ui3DVwzyrbNPhUPLNoqvDJpC9xubhpxxWzvK1driwuoAt0Nw9hnnX2/Rln5Gn3QnoyhyNPuhdJ1dK/1cvw6tfs+DU8sVYzoujGLvzzUY8vV9FPu/Nei9G0ORp90J6NocjT7oVjV0v5J0db+nnR5fr/8Ar7vzWf6htH+Hd+a9D6NocjT7oT0bQ5Gn3Qr+bR/hPw639vleSvLFarXax926ZyGgTpX17Fk7pH5WrNKxUmODmU2NcOMNAKxYsndI/K1efVyxym8Yp6NLHLGKym1lRNpEFxvON7GCcujmUqLm6qVyoGC+8ON9vFzjo/Y51JUqhtR7nHBrATjpLuL2e1Yq12uECcKjRl/kPh+8FGabn2gyCKbbpxAhzhJAGkCZ6Y51YE1kpkAvfw34nm0N9g98njVhYWVJGEREGUWFlAUVZzhwWl3MCB4qVR1Gk5OLcsgDPNiEGlJ7yYcwtGm8D4KFtrdG+o1QdAg+CnptIOL3O6QP0ChayuBG6hxzks92HErIls9YvnePZGsIWaHCf1h+VqiaK8iXsicYYcp4vYpaGb+sPytUGbRSvsIwnikA+K1dZWHMYxdwJGAx4lOq9a1tY4tMyG3uLTCDDqDGBt1oG/B9uXgo7TwythaW1A0tnhgYj2qG11CKhG51Dli1shSWsfbCKLdjyVXuJux5Kr3Co60lRRbseSq9wpux5Kr3ChSVFFux5Or3Cs7r/hV/Dd8ESkiKPdv8Kv4bvgm7f41Pw3/BBIijFX/Gp+G/j9izun+NT8N/wQT0OGP3xFWKPCqdb/i1VbO7fjB2Zza4cXOFao8Kp1v+LVYc8vaZERVkREQR1sh1h4hRW3gt6w8VLWyHWHiFFbeC3rDxQZC4Ou8BcHQEREBERAXeCuDrvBQUrV/Z1/vK/ZPqmdUeCoWr+zr/AH1fsn1TOqPBb4dufPpMiIsOiOvwHdCj84dqfm2VJX4DuhSIK/nDtT82ynnDtT82ys1HvDnANkQLvOZMyeiFHRqVy4B9NobxkO/RBvu7tT82ynnDtT82ytnl3EAcOPStL1TVZ2oM+cO1PzbKecO1PzbKxeqarO1L1TVZ2oM7u7U/NsrFiyd0j8rVLTJ41FYsndI/K1BZREQR12SxwuhxjAESCeJUmWd94TRpQYnAaMePp92kx9BLw0hBWr2ZoYblKmXcUtCip2c38aNMNJON0aOno4tPSr14aQl4aQgrV7M0AXKVM44y0ZKKhZjeh9GkGY4wJmRHsz+SvXhpCXhpCCrWswBbcpUyJ329GSjsdmOIqUaYAAiAPfmpX2YEuO6P30YTg3q6Fo6xDH6WplEF8jsQLRZsYZSpkQfsjOMPfHvSy2aQd1pUxjhDRkrd4aQl4aQgp2izYuu0aZFzDeib2jMYKSjZmkG/SpjExDRkrF4aQl4aQgpVLPvnRRplstu70ZSL049Ks2Vl1gljWE4kAAeHHEKS8NIWQUGViFlEGr2BwhwBGghVqNlbefepUwJw3o/ej3q0SsXxpCCPzWnybO6Fq+zU4MU2ExhvQpr40hL40hBUsll3p3SlTBniaPmp/NafJs7oUl8aQl8aQgr2izNDHbnSpl8YAgQsWaytuC/Sph3M0LL6AcfrHYuvZ5YRA0f9rRtkAx3V5xB3zpGBmI9iCfzWnybO6FBa7NvRudKmTOMgDD/uFbvjSEvjSEENOzMui9TZegTDRnxrbzWnybO6FJfGkJfGkIKNqsxvN3OjSI45AzV1lNrRDQAOYQs3xpCyCgyiIgIiII62Q6w8QorbwW9YKWtkOsPEKK28EdYeKDIXB13gLg6AiIgIiIC7wVwdd4KClav7Ov8AfV+yfVU+qPBULV/Z1/vq/ZPqqfVHgt8O3Pn0mREWHRHX4DuhSKOvwHdCkQEREGEWUQYRZRBhV7Fk7pH5Wqwq9iyd0j8rUE1VpLSAYJ41VdZKhP1xyHEdETnxqQV3O3QNDZbhnPaIHEo3OtE4NZEDtjHj0/ogGg5tOHv3SXtOI4pGCsbgzUb2BQE1bn0gbN9vBJylvvmVbQR7gzUb2BNwZqN7ApUQRbgzUb2BNwZqN7ApVhBHuDNRvYE3Bmo3sCkUda0MZw3Bs5AnE9A40DcGajewJuDNRvYFWdbyfq6ZPO7ej34+5QvdUdwqkDQze+/PshZ3M7oW6240xvxTbokDHoHGqz7Q0/V0Aed4DR2RPuC0ZSa3EASczxnpOZWylyzOUsUqRc9pcW58FrAB7cz71ds7QHVAAAL3F1WqvR4Y6VYY8NNUnIO0T9lqsNYpiYCojyg7kX+/4fvpwV2m8OEiY5wR4rZaaUnVd0a29TIG6AQ4e3FKr6LHXTTx5qc/op7R9jrhV7TwypMt4REz5a7vQ5I/hfJN3o8ifwwtFFUtNNmDqjGnQXCexZiZn06bMU+70uQPdb8U3en/AKY9lPaVM29nEHu6GHxMBaG2v+zSjruA8JW9ua7MV7d2/wCm7bnxWDVHFZ2e0j9AV8816p+0xvQ3HtJ/RRlrjwqlQ/eu/lhajCfmTbj9PovrwJNGg0aS7/8AKru8os4hRPVpuf8AlVVtBgM3WzpjHtUiuyPtdsfTLra85UmdJptH/In3KJz6zvtU2dFNp95AUiLVR9FR9N/J9I7swPe5+JzDQMjxNAX1aVVlN1QYNmoAANJY34FfOsH1zOk+BX1KYbeq3o+sETpusj2rGXty1Payiq2WoXPqAkm66IMYdgVpZcxERBHWyHWHiFFbuCOsPFS1sh1h4hfPtx//ANDRxXB+cILgXB13gLg6AiIgIiIC7wVwdd4KClav7Ov99X7J9VT6o8FQtX9nX++r9k+qp9UeC3w7c+fSZERYdEdfgO6FIo6/Ad0KRAREQEREBERBhV7Fk7pH5Wqwq9iyd0j8rUGlMuY6s4swJkc8YYrDrfBjc35A5aRPu/QqwQxl58RPCIGfxUZt1IGL3EDkePLi5x2oNDXvsBukb9o97Tj4K2qr7Sx7AWukX2jR9oHCVm02+lSMPeA7OBifcl0kzS0sL5rvKk8C43ne8E9jT+oUTql/h1ieYOuj3Y9pKzuhnfD6Na1U2GHOAOjM+wDFQOt7jwKZ6XmPcJPbCrU9zaIbdA5oW+6N0jtUtN0jjUdw6hjQzejtz96wyk1vBABOZ4z0njTdG6w7U3RusO1RlusLXdG6w7U3RusO1FbotN0brDtTdG6w7UE1Hht6VvWAuV5mOOJngtygg+9RUHgvbBGelW6PCqdYflatYt4tbCAKTIECMBEQOIZnxVhaueBmYUHn9LW9x+H7OC001fTcCJeTNSRzDQqXlKz1H1JZXcwYb0Naffn71dfaGPDS1wO/A/XDStLTwylzHmHTT9viP8n1eMip1nuPudIWu5VGD6stH+LQef7Mr7CLUa0/MO1PiGvBgug6CIPvW26O0+5fZIkQcQoHWKkfsNHOMD2hajWx+YHzd0dp9ybo7T7ldd5NZxOe32g+IKid5PeMntPSCPitxnhIr7o7T7k3R2n3Ld1lqj7E9VwPjChebvCDm9YEDtOC1FT6G+6O0+5N0dp9y0BByMrKtIueTHk2hknT+Ur67KDXuqXhMVGu9oa0hfG8l/3FPpP5Svstplz6kOI+kaexrcPauOp7ctT21sD5fV6+HvV1R0qd2ZcXSeMD9ApFzcxERBHWyHWHiFWt1ES2pjewbzRMqzWyHWHiFFbuCOsPFBkLg67wFwdAREQEREBd4K4Ou8FBStX9nX++r9k+qp9UeCoWr+zr/fV+yfVU+qPBb4dufPpMiIsOiOvwHdCkUdfgO6FIgIiICIiAiIgwq9iyd0j8rVYVexZO6R+VqCw5oIgiQcwVGaDNRvYOhSoggq04bvG/aaYECYI/QJuxM/RP/wBu0p1FTohrnOEy6J9iDQunOi49z4rRzGnOzz7GcefGraw4SCEFMUaZ/wDjf7WdGlY83Z/pyOi7xfeU9lsraU3STMZ8ynUqEqFDzVnI1O//APtaiysIkUqwn/P28blNaq1NzX03E6rruYlpd4BRWW1UWi6xznSeMHMxzDpSoNsNTYxxMrD7zP1K1dY4kxX/APrK+ooLVZhVaGuLhBnemOIj9U2wm2FLzJ2ip7bnxWvmdT/Lut219OlTDWhoyC3U2wbIfLpWeoxzXEEgHINbtlXqEy8lpbLsAY0AcR5lpa7E2sWlxcLsxEcasKxFLEUEA5iVF5rT5NndHR4KZFVV6tINaLjMnAkNgfBQ1LznE7m8d3aV5RUqIaXETvjJRYmY9Km5O1H/AOzaTcnaj/8AZtK+sPbIIykRxfqpUNb8lAU3H7D+xu0s7k7Uf/s2lZs1mbSBDZg6VOlQb8nz9ydqP/2bSwKbiJuP7GbSltVam9j2Oc6JuOLcwYmPDtWlltVFouMc50EDEHNxjQEqDfkxuTtR/wDs2lg03D7D+xu0voKG1WVtUAOLhBnA80fqlQb8lGpYWu4VAk6brJ7byhd5KByZVb0Fp8XFfYpMDWhoyAA7FutRMx6k3y+JZrBUpVWPh7gDldZOIIzD+ccSvsFWXENu3qgMOibt0A5TxhbWqxNquBcXAgRgVZSZmfbMzM+2URFEEREEdbIdYeIUVu4I6zfFS1sh1h4hRW7gjrDxQZC4Ou8BcHQEREBERAXeCuDru5QU7V/Z1/vq/ZPqqfVHgqFq/s6/31fsn1VPqjwW+Hbnz6TIiLDojr8B3QpFHX4DuhSICIiAiIgIiIMKvYsndI/K1WFXsWTukflagsrCyiAiIgIiICIiDBaNGSFoOYWUQEREBERAREQEREBERAREQEREGC0aMkLQeJZRAREQEREBERBpUvXTdieKcllswJz41siAiIgjrZDrDxCit3BHWHipa2Q6w8QorbwR1h4oMhcHXeAuDoCIiAiIgLvBXB13goKVq/s6/wB9X7J9VT6o8FSrU3PstZrRLjeACvWZpFNgOYaAexbv/jtjn0lREWG0dfgO6FItKrSWkDMhYvP1W975IJEUd5+q3vfJLz9Vve+SCRFHefqt73yS8/Vb3vkgkRR3n6re98kvP1W975IN1Qp2VlUb6/vThde5v2W6pEq3efqt73yUdCm9gODTMHPmA0cyCGp5PpNaSd1gaK1TaVZospydV/Fq7S+pefqjvfJYJdqt73yQVPMaF0OvVIOX01TaWvmln16n41TaV68/Vb3vkl5+qO98kFHzSz69T8aptJ5pZ9ep+NU2levP1R3vkl5+qO98kHz9xst65uj70TG7VJjKeEtvNLPr1Pxqm0rRpm+H3G3gIm9jGjJSXn6o73yQUvNLPr1Pxqm0seaWfXqfjVNpXrz9Ud75JefqjvfJBR80s+vU/GqbSeaWfXqfjVNpXrz9Ud75JefqjvfJBR80s+vU/GqbSeaWfXqfjVNpXrz9Ud75JefqjvfJBR80s+vU/GqbSz5pZ9ep+NU2ldvP1R3vkl5+qO98kFLzSz69T8aptJ5pZ9ep+NU2ldvP1R3vkl5+qO98kFLzSz69T8aptJ5pZ9ep+NU2ldvP1R3vkl5+qO98kFLzSz69T8aptJ5pZ9ep+NU2ldvP1R3vkl5+qO98kFLzSz69T8aptJ5pZ9ep+NU2ldvP1R3vkl5+qO98kFLzSz69T8aptJ5pZ9ep+NU2ldvP1R3vkl5+qO98kFLzSz69T8aptLHmtn16n41TaV68/VHe+SXn6o73yQUvNbPr1Pxqm0nmtn16n41TaV28/VHe+SXn6o73yQUvNbPr1Pxqm0sea2fXqfjVNpXrz9Ud75JefqjvfJB8mu+ysqNpk1iXcYq1IE4Y75WRZKBMB1T8aptKy+lecHOpsLm5EnEdGCkvP1R3vkrNeKZi/Nq/oylpq/jVNpVAyzktE1pdl9LU0ka3Mvp3n6o73yS8/VHe+SjSBtkZTxbfxLeE9zuP/ImFtbuC3rDxW7g4wCAMQc9BnQtLdwW9YeKDIzXB13gZrg6AiIgIiIC7wVwdd4KDFi4LusfFWFXsXBd1j4qygIiICq0bfTeCQSBAdLgWiDxgnNWl8qj5HuQQ9gc2IingYnF4nfHE6M0H0TWZJF5sgScRgNJWrLSwtvhwuyRJMCQY8QqLfIzQ0BrsQQQS0fZDAJ0jeDBbHyUNyuX99eLpgxvi4mGgiOEcvbKC2LXTx3wEGMcMZIjHnBWz7QxpIc4AgAmcBBJAx9i+dV8kEvDmvGZm80HPdOL/APp7vYp7R5NvxDyIa1uU4C8M5B+17tEhBc3RusO3njxWHVmCZc0Xc5IwnKdCoWfyOGVW1L5JHFAAiMu9ed0uW7/JpJMPABcXDe44mSC4EHPKCPagsOttMGC6MbsnKYvZ5ZKQ1mAwXNBkDMZnJfOp+R7oZFQSyIvMkYMDMRPNKO8ijc7jahAiJj/BrOIjHe9GOWUBeZa6bsQ9sTEzhMkROmQVs60ME74b0gHHKTAlUankm9eN8YgjFkiHF5OE57/Pm51LT8mta4GZEvJEcK84ux6Cfcgtmq2QLwk5CcdKiFtp3WuvYOIDdJvRED7wVMeSIufSE3SCSRibrgRMEcTQMZyCw3yNEAVMrky0E/RkERoxGOfuQXja6cgX2kumADMwQD2SFtu7NducZjPR0r59LyPdI+knEHgniuZY4fVj3+zI8jC6Wl8/RmmN6BAu3QemOPj5kH1EWFlAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBVrdwW9ceKsqtbuC3rjxQZGa4Ou8DNcHQEREBERAXeCuDrvBQYsXBd1j4qyq1i4LusfFWUBERBhUh5Wo3QS4tkXgCDJBiDhpkK8oBZKXJs7o6UEdTynQa8sdUaHCJHTktfSlEOLS4ggkYg8Rg+/BWDZ2EyWNJ03RzfAdiOs9MzLGGc5aMZzQQek6UAl0SwPEjiJhPSdG7eL4bpIOgGejEY84UvmdKZ3NmAAGAgATAA4sys+bU4jc2QOK6NEeGCCH0nQhx3QQyL2BwnKRC1d5WoA41IiJwOE5TgrPm7Md43fZ70Y9OlY80pSTubJOe9GPSggHlSjIAdiXBowOMkD9Qh8rUAYNQAjiIPsU/m1OQdzZIyN0SE81pzO5smZm6MxkUEDvKlEOc1zi0tzlpjMt8QtvSVGGkvi80OEg5Oy4v3CldZqbpmmwznLRigstO9euNvQGzAyBkDtKCv6XoEiHzPGAc9HTzZrceU6N1zr8BnCkERiR4hSeZ0uSp6OCFk2WniNzZvs96McZx04oK58q0gJJdF65wSccNHWCz6VoXg3dRJMAY4mYw7FY83p5XG5zwRnp6U83p4bxmH+I4sR70Fc+VaEkF8EG6QQZkEt8QtqPlCnUc0MJMyJg4ECYOjBTGzUyZ3NkzM3RnnPaVmnQYzgsa3oAH7yHYgkREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBVrdwW9ceKsqtbuC3rjxQZGa4Ou8BcHQEREBERAXeCVwdet9Yds5Oz91+2g6FTrXQbtSnBJOOePtUhtD4mWHoaTl7VzP+uLR/p7L3H7a2H8e2oCBRswGgNeM88noOkU7U92Aczun4rd1d4IBcyXTG9PF7VzSn/HtqbwaNnH3X7a39YVr5Kzdx+2g99R8rB9Z1Br27o0EkFjhgDBxyOKkqeULrBUL2BpwBuuXNaX8Z12VTVbQs4qGZMVOMycL8ZqV/8eWlzbrqFlLdFx0fmQdDeXtl+6wD0kYxkDMaVq+1uu392Aact5owOY0rwJ/mDayINKzEaLj9tY/r+1cjZe47aQdCfWqBl/dt7hk0cZAHF7FGy1EYbuDA42588wvBD+YNrAjcrNHUftrX+vrVyNm7jtpB0F1Z8Y1pj/HSMMh7elGWh7iAK4JMQLok4Hm/cLn5/j+1cjZu47o1lgfx9agZFGyg8zHbSDo9yth9LlzZ85S7Ww+lGH+Ix6fkud+sO2cnZ+6/bT1h2zk7P3X7aDopFaI3QdN1Ya2sBG6zjMkCejoXO/WHbOTs/dftp6w7Zydn7r9tB0WK2H0gy1RjzrEVuVHdHwXO/WHbOTs/dftp6w7Zydn7r9tB0MMrD/zf7R8Fm7W5UZzF0di536w7Zydn7r9tPWHbOTs/dftoOiXa2H0uX+Ix6cFHWdUbvnVoExwRA9y5/wCsO2cnZ+6/bWHfzBtZzpWY9LH7aD33nhMfTt7uefN+4R1ocDjaBhhF3xw/crn5/j20kQaFljRcdtIf4+tWP0Nlxz3jtpB77zskFvnAnKbsEEHozVlhqlsiqCCAQbo/eK5x/X1q5Cy9x20th/MK2clZ+6/bQdEa2sI+lmNLRj7lljawM7rPMWiPcud+sO2cnZ+6/bT1h2zk7P3X7aDojW1h/wCScZxA0RHQtiasg32gaLuBXOfWHbOTs/dftp6w7Zydn7r9tB0N9KqZ+kiSThziOwZ9KMZVblUznMT4/wDS556w7Zydn7r9tPWHbOTs/dftoOh3K0g7rlxQIKy1tYGd1nGYIHZ0LnfrDtnJ2fuv209Yds5Oz91+2g6Jdrcr/tHwVZtuJF7zgRh9gc3NzjtXhPWHbOTs/dftrT+vrVyFl7jtpB0I13tia2A0tGOXN+5WRbjj9KwzlvThzBc9P8f2rkbL3HbSf1/auRsvcdtIOiU6j3twqBwBBmImIMYcSipF1SbtYmDPGIkk/KOYSvAt/mDaxlSsw6GP21rT/j61Nm7RswnQ1+2g6Lu74A3USCMbuJxjHizwR9pfeA3RoxiLua52P4/tXI2bH/B20n9f2qZ3GzT1HbSDoNIveDdqnhE5HjBEY8XwUdK1XYO7SDjDgTM8fNmF4Jv8wLWMqNmHQx+0tf68tOH0Flwy+jdh/uQdE8+N0u3RkTndOE4dijdapABriQZyIOjiXgf6/tXI2bD/AAdtJ/X9q5Gy9x20g98wl7jdrSTOAmMzPw9gUr6lST9LF0AEBunAHEfuFzxv8f2oZUbMOhjtpPWBa5ncrNPVftoOh+eOZvXVGEjOWmfd+8EHlH/2U+wrnn9f2rkbN3H7ax/X1q5Gy9x20g6M+2lpIL2AjPen98ajq2sOgOqMAkHIjIkfoVz3+vrVyNm7j9tP69tPIWXuO2kHS6NVr8WmRMLhS9Y3+YNrGVKzDoY/bXk0BERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERB/9k=\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/ytyeBbRDcvk\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f32501c1a30>"
- ]
- },
- "execution_count": 12,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('ytyeBbRDcvk')"
]
@@ -2612,7 +624,7 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
@@ -2637,7 +649,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -2660,7 +672,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -2679,31 +691,9 @@
},
{
"cell_type": "code",
- "execution_count": 16,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "d874149a4ab34a419047778f4d38154b",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_rilem.run()\n",
"po_rilem.interact()"
@@ -2744,44 +734,9 @@
},
{
"cell_type": "code",
- "execution_count": 17,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "calculate d=16 mm, L=5d\n",
- "calculate d=16 mm, L=10d\n",
- "calculate d=28 mm, L=3d\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "c8c6d379b8544c90a10f6ef8a4b3b0ae",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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' width=800.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"fig, (ax, ax_bond_slip) = plt.subplots(1,2, figsize=(8,3), tight_layout=True)\n",
@@ -2840,35 +795,9 @@
},
{
"cell_type": "code",
- "execution_count": 18,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "57b9f6b09f774398bf8f0915e6ff7bcf",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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' width=800.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"fig, (ax, ax_bond_slip) = plt.subplots(1,2, figsize=(8,3), tight_layout=True)\n",
"fig.canvas.header_visible = False\n",
@@ -2933,33 +862,9 @@
},
{
"cell_type": "code",
- "execution_count": 19,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/bSVj6UND89c\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f324fc4dbb0>"
- ]
- },
- "execution_count": 19,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('bSVj6UND89c')"
]
@@ -3043,23 +948,9 @@
},
{
"cell_type": "code",
- "execution_count": 20,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle 25.3$"
- ],
- "text/plain": [
- "25.3"
- ]
- },
- "execution_count": 20,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"p_b = 100 # [mm]\n",
"t_f = 0.11 # [mm]\n",
@@ -3106,34 +997,9 @@
},
{
"cell_type": "code",
- "execution_count": 21,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "\n",
- " \\begin{array}{lrrl}\\hline\n",
- " \\textrm{E_m} & E_\\mathrm{m} = 30000.0 & \\textrm{[MPa]} & \\textrm{E-modulus of the matrix} \\\\\n",
- " \\textrm{E_f} & E_\\mathrm{f} = 230000.0 & \\textrm{[MPa]} & \\textrm{E-modulus of the reinforcement} \\\\\n",
- " \\textrm{tau_1} & \\tau_1 = 1.0 & \\textrm{[MPa]} & \\textrm{shear strength} \\\\\n",
- " \\textrm{tau_2} & \\tau_2 = 0.0 & \\textrm{[MPa]} & \\textrm{shear plateau} \\\\\n",
- " \\textrm{s_1} & s_1 = 0.002 & \\textrm{[mm]} & \\textrm{slip at peak} \\\\\n",
- " \\textrm{s_2} & s_2 = 0.4 & \\textrm{[mm]} & \\textrm{slip at plateau} \\\\\n",
- " \\hline\n",
- " \\hline\n",
- " \\end{array}\n",
- " "
- ],
- "text/plain": [
- "<ibvpy.tmodel.mats1D5.vmats1D5_bondslip1D_trilinear.MATS1D5BondSlipTriLinear at 0x7f3479325310>"
- ]
- },
- "execution_count": 21,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_cfrp = PullOutModel1D(n_e_x=300, w_max=0.1) # mm \n",
"po_cfrp.geometry.L_x=50 # mm\n",
@@ -3145,55 +1011,18 @@
},
{
"cell_type": "code",
- "execution_count": 22,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "e7e8f3131f3042e6afcc01538be17ae6",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_cfrp.material_model_.interact()"
]
},
{
"cell_type": "code",
- "execution_count": 23,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "bb33eedc652a4deea7db1026858b51a0",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_cfrp.interact()"
]
@@ -3211,23 +1040,9 @@
},
{
"cell_type": "code",
- "execution_count": 24,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle 39.05$"
- ],
- "text/plain": [
- "39.05"
- ]
- },
- "execution_count": 24,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"f_t = 3550 # CFRP sheet strength in [MPa] - see the table above\n",
"f_t * t_f * p_b / 1000 # breaking force of the sheet 100 x 100 mm in [kN]"
@@ -3262,46 +1077,9 @@
},
{
"cell_type": "code",
- "execution_count": 25,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "evaluating pullout curve for L 5\n",
- "evaluating pullout curve for L 10\n",
- "evaluating pullout curve for L 50\n",
- "evaluating pullout curve for L 100\n",
- "evaluating pullout curve for L 200\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "d93b8a8627644d91aced131a78adb74a",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=1000.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"fig, (ax, ax_bond_slip) = plt.subplots(1,2, figsize=(10,4), tight_layout=True)\n",
@@ -3336,33 +1114,9 @@
},
{
"cell_type": "code",
- "execution_count": 26,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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sq+6O9OG1k2VfdHet/vdn2Ge6E3uz7DPdCDQcNrJsq+6O9OG1k2VfdHet/vdn2Ge6E3uz7DPdCDQcNrJsq+6O9UPlrZIOFX3R3r0G92fYZ7oVHWdkHiNy+yEEjQOlaNromtSvQ2KZvDW0TgBP2lMoOo0wQxt0ElxhjhJJkk4ZrLZGBtNt0AYDIRqWVBEtmkadKjUqOvEMY5xAacQBJzUTROkLLbaQ3FpuN+qabmgYRGV04EiAStq9ocCCAQRBBxlVAgQMAgxNszB5rGjoA6R2k9ayU2BrQ1ogAQAqqqAqKqIMbqLSQ4tBIyJGWtQtM6Oo2im1tZgeA9kAk63AHLmJWwWG1+YP66f5wgzAKqoqoCIiAioSsba7SYB6M4PQcigyoiICIiAiIgIiICIiAiIgouReX3pWv0U/yBddXIvL70rX6Kf5Ag86iIgIiICIiAiIg9R9HXpJv3b11hcn+jr0k37t66wgIiICIiAiIgIiICIiAioiCFpWzuqUwGkSHsOPM9p/RYd5VtlP33eFTbZUDWAuIAv0xjtLwAOsrMg1m8q2yn77vCm8q2yn77vCtoiDU71qzEU5ifPd4VdvOtsp++7wqc5wFQTrafmFjtNr3N7GkCHTJmIggfrPQCgibzrbKfvu8KOsVaDhT993hWZ9vcGvcWtAbVawEuwIc4NmR05cyyU7ZeqlkSIlrgQZEA49eeSDNZv4bP6R8lFs1mqEPvve284wL0kQ4wZ1SC3Dm5ypFjeDSYQZF1vyWZBCr2EucHTJDLskzexBII1TEEjOVZUsdSGtDzgxjb0kRDpdjnxhh7FsUQas2KvIO65fzO2uP6t91TrLTLWAHnw2AmQPYIHsWVVQEREEe035ZcnzhOUROM+zp/URjuvGNQEAvp3QSPWao5roPOCpz6jWiXEAc5hYbW9pF0ESH05E4jjhBnu9PWUu9PWUvBLwQLvT1lUcABJMAc5WO02unRpuqVHXWNEkwT2DEqLTt27BtSncdTd/DvPu3ucCDKC23aMZaTTdUDgabr1PEgg7T1DDvhXlr3PIuuaC0CMYaQZDhqw5ubLFS6dQPa1w17dW0FZEBVVFVAREQEREBERAREQEREFFyLy+9K1+in+QLrq5F5fela/RT/IEHnUREBERAREQEREHqPo69JN+7eusLk/0dekm/dvXWEBERAREQEREBERAUK0trTWukwaYuDi+djMa8ozKmqiDU72q3jdvbmajHhswRBE4Tg26AY2zhiqMs1dgBaTxni+3ikBgeZwM4lpzB+q3BbdEGh07o2rabLSYKxoltVjpu3j50MnEZSD0hb5uWOai6TfdpXs4fTP42qlK1fvCy8HEEAi7EEgxGP8AKUExUVVqrXWc2qJ1kiMcpbBbrmL3TiNiCVUsrXVg5wDjdMTqxCyb0p/YCUi6WXvOuY9OErOgwbzp/YaqOsdOMGgc4S119zbMwMSSRMAAk4a8lSzVy6QdgM4ayRqJH1UFbBSDKFJoyDGjsUhY7P8Aw2f0j5LIgIiICIiAiIgw2mjujbt4txExGPMZBwUavZQ0mpJLnPZMxrcwHsY3qUqtVulgibzrueWBP6KK61CpebEXXsxnP95HsxafZCCeqOcAJOACtc6BJiFrLObS+s8V7jad4mlckGBlenXBB60E6pTFRpvtlsHikZ/1D9P8GGpYny3c6gYwOvXLoI/9a+n2RWxVy+m12p9Nr85uyMp1/wDBUxBjp0wxrWjVt17SVkVHaulXICKitDxMA/5zn2oL0VFVAREQEREBERAREQUXIvL70rX6Kf5AuurkXl96Vr9FP8gQedREQEREBERAREQeo+jr0k37t66wuT/R16Sb929dYQEREBERAREQEREBERAUe0ipep3CYDpcIGIjKZw/41KQiDTaQfWbRqudA/eU7sgH/V2DVdu+2VhsdrY2peIuFwhzokTqM6tfYpun/wD6rv66X/kavPur/ZF7nyHX3KMsrK9fQ6WPUxu+XrGgkAh4IORACjWitIIY4ucMobgCNrvmM15qnUqNODiBmWgw09I1rY2fSeqoyOdpMdWY7Umcrnn+Pljx5ieatW+DeGRwuapGEz29ikMtEwHOLDzjA9ByPzUM12SHXm3YON8RmOdRa2kZwpsw+04mPdz64VbefLKY8t1XbDSXvAaNZgR7dS1TbaWNLKWMHznDAjVhmezmWsvPkEuLoyDiCB0bPYszK4OYLTz/AKHJTcvjz59a+nodHvLrPRcczTYT7oUhRtF//WofdM/KFGobk+1VXMq0y+Lj2Ni8CIgnGQc9WIu/Zxt6WxY8OEgyNqOeBnhjC1Q0OSWuLmAi59SfNuwZn+Tt5kboYtBDXN4zXMMNu4ODQTn/ACyg26KiqgIiILS0GJExksFqAayYA49OffCkq17A4QQCNhxQWNaXEOdgBkP1Kq6mHSCNf6alZvSl6tnuhRHtY11Ubg112LoFPmxxjH2IJzaYa0gD9e1XrR1K544FkAIAh25kjIk/VxyAHTjGSobXdGNkbOrinHign6nOR/aUG8dq6VctPVN2o5u92ubeF0inq4k/VM+ceo7FaKpuuO82yDgLuq605wcZJ5uLmg3K0tto2ZlZralamxzyXNa8AXuM0nE54t7VKsbG1L1+hTaRGQBzE7B7VW0aEstV7X1KFNzmghsjAT/LkckFLJowU3teHzAwEYZRIx1yZ24LYq1jQ0AAAAZAYQrkBERAREQEREBERBRci8vvStfop/kC66uReX3pWv0U/wAgQedREQEREBERAREQeo+jr0k37t66wuS/R60nSIAJb+7fiI/ULqe4u9a/qZ4UGdFh3F3rX9TPCm4u9a/qZ4UGZFh3F3rX9TPCm4u9a/qZ4UGZFh3F3rX9TPCm4u9a/qZ4UGZFh3F3rX9TPCm4u9a/qZ4UGZFh3F3rX9TPCm4u9a/qZ4UGZFh3F3rX9TPCm4u9a/qZ4UF1aiyo0se1r2nNrgCD0grXW2z2eld/+NRIJjzGiOeIJU/cXetf1M8KoaDvWv6meFDbTNtFj3NrnWWnN0EgMp4TqnWr6ps25Coyy0cXvaLzKeN1riThq4hG1bbe59Y/qp+FN7n1j+qn4Vmm7rUmpYhP/wAVmBxIp04GJBP4HHoCy1xZabg11lZMNPmUvrTAz/lPMtiKDvWv6meFW70N4u3R8kAEwzIZfV5ytY1VSrZZaG2WliQCXMp63Bvzd0iMlnsFOy1xG9qQNxhdxGRxmgwNuYU/e59Y/qp+FVFB3rX9VPwoaUFhogQKVP3G9yi2fQFkp1nVm0Gbo5168RJB/lnzfYpe4u9a/qZ4U3F3rX9TPCgzosG4u9a/qZ4U3F3rX9TPCgzosG4u9a/qZ4U3F3rX9TPCgzosG4u9a/qZ4U3F3rX9TPCgzosG4u9a/qZ4U3F3rX9TPCgzqiw7i71r+pnhTcXetf1M8KDMqOYHYEA9IlYtxd61/UzwpuLvWv6meFBmRYdxd61/UzwpuLvWv6meFBmDQMgqrBuLvWv6meFNxd61/UzwoM6LBuLvWv6meFNxd61/UzwoM6LBuLvWv6meFNxd61/UzwoM6LBuLvWv6meFNxd61/UzwoM6LBuLvWv6meFNxd61/UzwoM6LBuLvWv6meFNxd61/UzwoMy5F5fela/RT/IF1fcXetf1M8K5N5dtjSlYEk4MxMfYGxB59ERAREQEREBERB6j6OvSTfu3/ACXV1yj6OvSTfu3/ACXV0EPSFsNEtMS268uAzhonBY7RbXtpuuxeZWp0zhmHObkJGMP6wsmkrU2ky85l8gOc0HKWtLs4MYBUZWs7op4OLnHBzScZMkyMMWnPYgtdpLc5FRuIYX5tEgTe1wLvFnGOMFjZpSXgwbplsHAhwe5pPRxUbb2h5pCk3NzW3TIzAh2HFm9OvI7FkFehHFY0iWB3EiA50NwI+0PZCCxumA67cYTeuGScIcROWsTkr6ekr9NtRrMHPY0S5uIdHGETty5var31aDXwQ29LW4MJxloAkDaW9isZb7MQAPNcZ/hugkt3TZExj/ygxUNLfumF7SahDZALRPEDiRJjI5LLbNKNolwcxxuiZEY8Vztuxh7FloOoPJawNJaQSA2IIJA1Zgg9CyizMvufEucADMZDV2oNf+03OebuDQ5rSIk/xX03Zf0CFltGl2UwTdeQGycLp81zvNdByYf8mJgs7PsNwy4o6VcabSZLQTETGrYgjWa3bpVewNgNBxnWHuacP7VDpaYLaQe9pcSL0NjCWF8CYkQ04+xbRtFoya0YRgAqb2pxFxsREXRls6EESppRrS4Fplrg08ZuDjdIGf8AOMf+JrX0m2m1rnNONM1C2WyGiJ18Yi9qn5TLNBhmWNMiDgMRsPMrjTBiQDGWGXQggO0pDi3cnktzgtjVkScfOCO0s0XpY6GmCZGBHnSMwBty14DFS97U4jc2RERdGUzHWrnUWEklrSTEmBqyQQDploBmm4ENLoluIF6def7s4dHPFKmmBDg1jg/jBl6MSL/P/wBpx6lNo2Smxt0NBE3sQDjMz0qu9qeP7tmOfFGOM4+1BCp6V2tccpPFgcVh2/8Ac+av/ac0a1VjCdyDjBIgkCYkZbDzqWbNTObG+6P81DqVtCyMYCGjA4GdY59vtQWULaKji0A/Wg/0uuu6MVCoaY4gfUbDXNY5sRhLA6Cf1W0bTaJIABOcDNW72p/YZ7o6EEepbw1tMlpF83cxgZjEidfdnAUZmnGw282CWNcYIgTczOqN1aeiTsnZ7k3i8UcXzcBh0bFiqWKm4QWNGWQGrL/0gijTAIJFJ+AaSDEgkNMFszk7VORUl1oN+jEXXzOv6siDMK9tlpgRcbEBuQyGMK99JroloJEwYynONiDBbqr2tBpuYDIwcCb3MMRGE44xsKxWzSbaVQMLHOJjKMzO07GlSnWdhDQWNIb5oIBjoSpQY4y5jXHaQCghDSV+rSa0QC8tfO244wPa3NSLPXcatVj4ht0tgRIM65M4g7MsspytoMBBDGgjIgDD/JPWm4M+yPOvZa9vSgg23Sm5vDYIDXgOkZgtJwOoTEnIYzCrU0sBPEMNcQ4yPqzegZmI9sqc6gwmSxpJ2gdCCgwZMaMtQ1ZdSCE7SJD2S3iOEYFpgl7WtMg5G+FdV0mG1HsFNzi0tBgt1loGZ/n7HbFKFmpiIpswy4owxnD24qzedO+55aCXZyAdncOpBDfppoLm7m4lszi2MA85z/2ndnPFzdIkOuuBxfDSAMrwGIn+YBSqlipuc1xYJa69kMTBEnbmVebOyZuNmZmBnmggfthrmtLWnjgFplpwIlpIBw2Y7DmqWbSbiYe2bzmtaRAEmmx13p4zj0NKnmzUzmxms+aNeaCzsDg4ACNmAyiY6MEES2W91OsGBoLQA520gtqYDZ5kyr6ekmubUcGuLWBxmW43cxEyMlKqUWOMua1xG0AqjrOwtc26AHCDGGER8kEQaUbeulpBlrcxm4tA6fPHasVl0kbt6rJG5sdxGOOJDicpgcXWtg2zsAaLreLlgMP8hVZSa3zWhvQAEEI6WaCQWmRniI+pr6Kreoq5mkf3FGo5vGqtBDQ4Z3L8AmNQKlbgyALjYGIEDDoVxpNi7dbAxiBCCA3SwLxTbTcXExm3D+Jnj/2ndYSnpdrrgDHS/VLZEFrXTJ+qXQQNh5pnCgyZuNmZmBM7VU02mJaMDIwyO0IINo0oKe6S1xDHEGLuEUhUMY7O1bBY3WdhmWNM5yBsj5LIAgLkXl76Vr9FP8gXXVyLy+9K1+in+QIPOoiICIiAiIgIiIPUfR16Sb92/wCS6uuUfR16Sb92/wCS6ugw2mysqiHiRBGZGBEHLmKsp2Cmx99oIdjPGdjJJxEwcSYnKTCyWsE0ngFwJaQC3MYZjnWobWtNNhDaYcZdDg1wDiGi4Lh82TIOrDnWW6dMcO6ctobG2CGyCX35JJh3t1cys/Z1MGQCJLS7Fxm64uaBJw4xnBakWm00g64x5BfVOLHOg323Y5rpd1K+0VrQ17i1j3ubWqXAQ6I3Li4iBE4Y7dqnvX+i/Y2z7DTc5ziDLi0mHOAlsQYmJ4ox5lbS0dSYy4G8WWmCXHFsXczqujqWtrW+1NcA2mS2TjubjIvtGrLAu92Vt7M8uDr04OcBxS3AHDp6da2WVGXTuM3VKVlYwktvCXF0XnRJmcJgZkxtxWZEVOYqqiIKorXGATnAUSw6QFYMhpbfptqCYPFdlMZFBNRWbq2YvCekLHaq+5sBiSXNaOlzg0fNBnRRKZqbqS5pgtaMDxQcS49ZAy1LO2q0kgOBIzAI9qDIijOttPjXXtc5pALWuBMkwAdmJhZHVmg3QWl+pt4ScJ/RBlRRt+M/dwZ3SIxxggkGPYsrKrXEhrmkjMAgwgyIqIgqioiCqKiIKoqIgqioiCqoqrBbWk0agAJJY6ANsYIMyLVtovpUHEuJD303OGIDGcVrwJyEBxPSVgo0Kjg6md0pxVeabmgwAXvLTltiWnCI2lBvEWqsG6Cq280MJbVNVoMib4DDOwi9HN0KfZ7SyqHFjgbr3MdzOaYIQZkREBERAREQEREBERAREQUXIvL70rX6Kf5AuurkXl96Vr9FP8gQedREQEREBERAREQeo+jr0k37t/yXV1yj6OvSTfu3/JdXQEVUQURVRBRFVEBERAREQUcJBCwWCyNoUadJuIY0NmACYEAmNeCkIgj7zZevcaZnzj8lbbGOeWBrZAcHE4RhJA6wFKRBGsTqhad0GMiJESLoJ/EXD2LHZbHdcaj/AD5fAGQDjh0m61o9imqiCPVs0sIBxvB4na0ggdHFARtnLXuqAlziIgwMi4gfiKkKqCBS0bdawB5lt0nAYlrbs82Gr/mZFms+5g8YukkyQNZnV1dACzogIiICIiAiIgIiICIiAqKqogIEUJ9rqD/TBG6BpcDkDGMdJhBNhafyd0SLIK4FV9S/VLjfjztZwGv9FOp2uaxpxlexnYGk4f3jq51dZnRumfnn9EElFbf5j1KhfzHqQXorb/MepL/MepBci1tq0w2laaVAscTUjEapMDD2exT7/MepZLKrLDLGS32vRW3+Y9Spf5j1LUr0Vt/mPUl/mPUguRWgztVyCi5F5fela/RT/IF11ci8vvStfop/kCDzqIiAiIgIiICIiD1H0dekm/dv+S6uuUfR16Sb92/5Lq6CqtDhMSJGpXLVV9H1DUquaYa8Yi8fOluLTm2Q2CMQYbzoNoi0toZamuwJLS+cHOMDjTq/p5s1sLLSqh9Q1HSCTd40iJJGEYGCBmZhBKBnEIotgoup02NcALrYwOGexSkFrarTMOBjOCMFdImNa1H7LdcqOIBqF1S6JF0NdVv7M8s5iMFlq2Wq69ceWPvuJOMEEcXLWIaPYdqDZKl4RMiNqwU7O4EEvM5kSYnXryUVtjqbiGQ0RVvxOECrfAy2dqDZBwORyQmBJwC19hsr2S0mAKTGSJ84XpjoBAnuWW0WRxp3Q4k32OxJxDXBxHtiPaglOeAJJAG0lVWufYnmgyl9ZsFrg4i6cYw1gZQcws1alV3djmn92MHNvETnjHNs13v5cQlhwmJxCtNVsE3hAMHEYHnUKz2R7KxfII4+vzr7g4T/AEgQFY6wu3vXptH8SbrXOm7IAPGOMTJ/yAGxDxMSJiYnVtVVAr2eq+qx4hkYedqvNJkRjIDh7R7MjKdQWguzpEZXjgcMQNhx6I/mMBKDgSQCJGfMjnACSQBtKh07K5orRIvyQ2+fOxkh2YmRhqVm9aj7PudXjPvecHkTBlrubUbuWrEZhPDgciFctdZbE9lYvc4EQ/H7RcWkSNUXSPapdGiWky4u6Se9BkLwJkgRnjkjnARJAkwJ2qDXszy6sRTY6/dAkjYQScOdVfZC4UQG3TTLYIeTAESCPrSJGPSgmGo0TxhhniMNkqocJIkSMwtbarJVdVqkBppvp3YJjGDidoxiPapFhsrqReCZbgGbQ0TxSdcTAOyOkhMREQEREBERAWFlkpN82mxuM4NAx2rMiCxtJrcmgYAYADAZBYrL/qf1lSFHsv8Aqf1lBIVlTIq9WVMigvWOrUujaTgBtKue4AEnABY6TSTfdmch9kd+3/hGxbuAwDsScSefm2RqV1J5m67zhkftDb3q92YVKtO8NhGIOwob+sisHnHoH6qlKpMg4OGY/UcyqPOPQP1Ri9ERAREQUXIvL70rX6Kf5AuurkXl96Vr9FP8gQedREQEREBERAREQeo+jr0k37t/yXV1yj6OvSTfu3/JdXQVRFqa+kKjKlUcUwJZjhEtBvHNpF48xBEHNBtVVah+nWhxbdaTfDRx85vDZ/KebnUmjb90NYCGCnIvFwMEEglzcwMJxzBQTkUPR9oL2CXsf50EESRe4sgc0T8gpaAqrSC3VSyo7dGNYHVGBzrmL2vLWNGOwYz7Nozv0k9rb9wPBc5oAJwujVgZmHH3dqDaKiittNQwdzAacb17IaiRAUVtuO43hUY+ajWhwjzC5oLiBhgHdolBtFVa+xWyo8GQC7cmPAyxdIjmHFn2q6vaajaRcWXDfY3O9Ac4Auy1Ak+xBOVFratsqb3Y9pbfwLhIBc3HzAZxMSAf+VnrW25XZSIbD8nXteOERmYMbYdsxCYi1Ve2uFK1xU47L4p+bIimHZRjiT1LLW0iW0jUuA3XlpAdmBmWmONAx9h2INgqKHaLQ69RLC0tcReAIJIMQW4YjHHLDFVZbZtDqJDRAkG9icpwjMTjslu3AJaqtNabfVYX4ti86HDjNgMc4DLOWgEY54Z4bF9aoC27SkECTeiNuEIM6KJpCuWBkVGMJcIDo42OOZ2T2dBxOtdRu+Dg4tBNIAgh2B4uU3pbiMUGxVFqqukHMomoTIbVa2QBx2yJw9pGGxN/VL4Egse9gDmQ4NJAJaTGRBMOgZRrEhtURVQEREBERAREQFj3Zn2m4mMxns6VkUB1jfiJZBq3zIJwwIGeciUEzdG3rt4Xom7OMbYWKy/6n9ZVKdnIqmoYBLYN2eMcMTziIHMUszZ3TPzzrPMgkrHWeGtJcQBtJhXXBz9ZWv0pYm2lhpEkAEEkGYOoY4a1l48Kxkt/1wlt/eG99QZc529Gzr2LMsVns7abGsbMNAAxOQWS4OfrK1l58DswrljLcRn1lXXenrKMWVacwRg4ZH9DzKLY9KUqtZ9Jrv3jBxmkHCDBx1wVNudPWVGpWKkyq97WAOcBeIzO1Zd+l43HV7ufSUqq24OfrKXBz9ZWoVVVQCFVBRci8vvStfop/kC66uReX3pWv0U/yBB51ERAREQEREBERB6j6OvSTfu3/JdXXKPo69JN+7f8l1dBVUhFEOkWB1RpB/dxePTEYZ4znGooM9WztfF4ZbCR1xmskLAbbSEzUaIMGSM/8B6irxaGEua1wc5oktBE/wCSCPYgyAIsNltTarA4AiZwMajGokalnQUujYqNYASQMTmtc7TLBf4j5aHkjiZMfcdjegY5Tnq1qVv2mCQTEEiTrIiY6JAQSEgLGK7TlJ9hWFtvaaW6XXDj3LvFJvXrsSCRnzoJDWAEkDE5lXQo9ntrKgJEjitdiNRmO0EexXVbU1rL2Jxa0CIkuIAGPOQgzQkKJU0g1tJtSHEOIGoQT9okwNmJWd1dgeGFwvHIa/8AMCgyQEhR6NtY+oWCZ40HUbpDXR0EgYrH+0W7lVqhropkgjizhzThgZgwUEyEhR6lra2o2m7ilzZBJGcgR0y4dayNrsLywOF4ZjWMu8daDJCKNStrXbrm0UzDi6BlrjOOc55qtotzGUjVxc0bOmCZOAA1k4CEEghIUajbmPqGmAQYcRlBuwHR0FwCzsqB2U9RCC6EAUarbLu6AMe404wF3GROEkDVrhKlta3csHfvSIwiJ2zEZ5ZoJSKJWtwYagLSSxodAjjYE4dWtX2W1tq4tBiAZPPIIjMEEEEFBIREQEREBERAREQFHsv+p/Wf0UhRKNS6Khz/AHhgbTsQZq1Q4Nb5x7BrJS4Gsgf+9pKrSpxJOLjmf0HMq1PNKNXoiIxY7MK9WuzCuQFYPOPQP1V6sHnHoH6oL0REBFRQrY20boDSPFIEg3cMYOqcnT/ZGtBNXIvL70rX6Kf5AuujJci8vvStfop/kCDzqIiAiIgIiICIiD1H0dekm/dv+S6uuUfR16Sb929dXQFFq6PY95e4uvQWg4cUEgmPa0dSlog1dbQ4LrzXuBJk5Z4xqx844HPDYplKyNZfuucL5JzyJMkj2mVIRBho0AwQCdZOWJJknplZkRBFbYWhjmBzoc5znebjeJLhlliVY7RzHAscJZeLgMREggjoxPWpqIMIszBENEgQDAnDAYrGbC0tgl2JDicJLgQQ7LMXRzKUiCLQsTWExlcawDPitnOczJKvqWVjm3boaJB4oAggyD7CAs6II2823BTBdciC3DEYyDhrnFVqWRrqjahLg5mURkcxlkcJ/pGxSEQRmWJjXl4kHHZhJBdHSQCVR9ia6m9hc7j+c7CThGyMhGSlIgiOsDXODnOe4jaRjiCAYG1oOH6q8WUCqasuvEQcoI1D2GSP6jtUhEGAWfzuM684RewkDGAMNUnrVtKxtZTFNrnNYJgCMB9kYYDUNikogjUrExj77RjBA2CYvR03R1LMyk1vmtaOgAK9EEWrYg4vN94v3Zi7q1ZdavNmmJc4gEGDGJEROG0Ss6IIVbRzH1HVLzg5zbhIjFuOGXPKz0bM1jnuaMXwXc5GEwsyICIiAiIgIiICIiCihMo1W1HuDWOBcS2XkQDE4XTipyII9+t6un/uO8Co51YiLlP/AHHeBSFrXurbgwNv38ZMQZh13P8Amu/rhKCXfrerp/7jvAl+t6un/uO8CzhY7R5jsHHDJsgnmBCDGXVpHEp/7jvAq363q6f+47wKE5taKIaXwG8aZBvXmxO0XQ+Z5ta2iDBfrerp/wC47wKgdWmblP8A3HeBUtJffp3ZgGXCDiIOvLOP0Vtk3W++/MY55ecbsf2xPP7UGS/W9XT/ANx3gS/W9XT/ANx3gUhEEZz60H93T/3HeBa7QFfSD2//ADaNJnO1xve1okdo6FukQUXIvL70rX6Kf5AuurkXl96Vr9FP8gQedREQEREBERAREQeo+jv0k37t66tB29i5T9HXpJv3b11hBbB29iQdvYoNqtrqdcC7ep3WTEYFz7oPPmPYD0HBT05g1z6RaxzQ6bwMA0zUGHQw9meoNrB29iQdvYtedJlr2MfSLC4xJcCMYiHZTxsjBwMSr6+kbjnAUy4NcGEyBx3AECDq4wx5+koJsHb2JB29igDSgyLCCHNaRIOLqm54HWNfRsWI6aDQHVKZYwtL705iCYGEE8XKZxGeoNpB29iQdvYo9htZqtcSxzC0xBBxwBkEgTnHSCpSC2Dt7Eg7exXIgtg7exIO3sVyILYO3sSDt7FciC2Dt7Eg7exXIgtg7exIO3sVyILYO3sSDt7FciC2Dt7Eg7exXIgtg7exIO3sVyILYO3sSDt7FciC2Dt7Eg7exXIgtg7exIO3sVyILYO3sSDt7FciC2Dt7Eg7exXIgtg7exIO3sVyILYO3sSDt7FcqILYO3sVYO3sXkNKW+07pWZTquad8MYyNQLCYHthNK6cq1KVB1F5b+7a+qW7S4MA67yjvj1T8XO688vXwdvYkHb2Lx1S21rtqfu9oDmVqjWBrQWANIi8YwGOs6l6ajbP3VNxBeXMaS5kEEkYwqxu3Pq9G9ObtS4O3sSDt7FjoWgPnilsfajvUbSm6mjVFEuvy27dgHMTE80qpPOnDfjabB29iQdvYvLV6Ok2/wANz3YvwJb9UkNAOuWkHpCV9+NLtzqvONSLzmni7kLpzzvkgHbC6fr/ALEfs/j1MHb2JB29i1dK0VAxt443WuMkbIPernV3Rg4xhMkTrlT2Vve2UHb2Lkfl76Ur9FP8gXUrHUcSZMiJHWR+i5b5fela/RT/ACBTZpUu3nURFjRERAREQEREHqPo69JN+7eusLhFgt9WzVN0ovLHwRIg4HPNbPhhpHlTvdZ3IOu1bJTe9r3NBc2IOOoyMNeOPSBsVrbDSAaLghoAHMA0tHYSPauR8MNI8qd7rO5OGGkeVO91ncg60zRtFpBDBIMzJxOETjjECJygRkrqtipPcXOYCSIMzsiY2xhOa5Hww0jyp3us7k4YaR5U73WdyDrX7No8XiDiGRic716TtN4TJ14qu8KUtNwcUXRnECYBGuJMTlJXJOGGkeVO91ncnDDSPKne6zuQdfs9mZSBDGxJk5kkxGJOJwAHQAsy41ww0jyp3us7lXhhpHlTvdZ3IOyIuN8MNI8qd7rO5OGGkeVO91ncg7Ii43ww0jyp3us7k4YaR5U73WdyDsiLjfDDSPKne6zuThhpHlTvdZ3IOyIuN8MNI8qd7rO5OGGkeVO91ncg7Ii43ww0jyp3us7k4YaR5U73WdyDsiLjfDDSPKne6zuThhpHlTvdZ3IOyIuN8MNI8qd7rO5OGGkeVO91ncg7Ii43ww0jyp3us7k4YaR5U73WdyDsiLjfDDSPKne6zuThhpHlTvdZ3IOyIuN8MNI8qd7rO5OGGkeVO91ncg7Ii43ww0jyp3us7k4YaR5U73WdyDsiLjfDDSPKne6zuThhpHlTvdZ3IOyIuN8MNI8qd7rO5OGGkeVO91ncg7Ii43ww0jyp3us7k4YaR5U73WdyDsiouOcMNI8qd7rO5OGGkeVO91ncg6ZU0C11Y1d0MmsyrEDNoIjtVh8m6dys0PcN1eHTA4oDrwaOaSVzbhhpHlTvdZ3Jww0jyp3us7lnbHX93U+ukHyfd++DbVUYys9zntDWfWzxInLBTP2U0Na1pADGBjZa1xEa5I6etcr4YaR5U73WdycMNI8qd7rO5JNcJz6mWc1k6rT0eWmWva07RTYFNDYJO1cd4YaR5U73WdycMNI8qd7rO5Vbtz1p2NQ3aPB+sdQXKOGGkeVO91ncnDDSPKne6zuSXRZt1k2EY8Y4z2/+k3kJ8468On5rk3DDSPKne6zuThhpHlTvdZ3JunbHX6VINLiNcfKFyby+9K1+in+QLDww0jyp3us7lqrbbaloqGrWeXvdEuMYwIGXMFjWBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQEREBERAREQf/9k=\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/SLrxMpAdmN4\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f324fc0c3a0>"
- ]
- },
- "execution_count": 26,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('SLrxMpAdmN4')"
]
@@ -3378,33 +1132,9 @@
},
{
"cell_type": "code",
- "execution_count": 27,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
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- "text/plain": [
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- "execution_count": 27,
- "metadata": {},
- "output_type": "execute_result"
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+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('rg-NIf0e0kU')"
]
@@ -3533,8 +1263,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
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+ "pygments_lexer": "ipython3"
},
"toc": {
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diff --git a/tour3_nonlinear_bond/3_2_anchorage_length.ipynb b/tour3_nonlinear_bond/3_2_anchorage_length.ipynb
index 51cd271..e1fe806 100644
--- a/tour3_nonlinear_bond/3_2_anchorage_length.ipynb
+++ b/tour3_nonlinear_bond/3_2_anchorage_length.ipynb
@@ -16,33 +16,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [
- {
- "data": {
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KFocNzN4YbcY/HVnGKl/adOQBMkxHXlOzCT2LDtKMDy0gwBn/AKiDh0FpQKukLr3MFNzruzoaHZdRgbSCtBpTL927EgZznrw1bNZW/wC0qcEhrunCMRt8FJSt7HuDRex6Nokd4xQQ/tTIim4gwO0gmPAjrhbVbY9pqQwENuAZibziD3DFbVNIta9zXNcLsCc5JBIHgsnSDJGDoLQ4GNRvR1eyg0paQJN00nAhpcYxy1DatTpI6qZOE4HZjsy2HWQdi3Gk6ZjB2MRhtE/UI3SlInC8ekD9bQUGlTSUSdzcYMYH9Y4d8bVtSt5dfBpkFoGvAk/7+B2LanpFjnNa2ZPhGfaMO9a/tWlE8bVq2i8PDFBqNJEzFJ2BOvYJ+nejdJSTFNxAMdm38tqkbpKmTGIxAxGsmB856lmlpGm8wL0kTl1+k9yDT9ojc2vLHcacOkECOnOewp+0DMGmQRM47JkjDEYLb9osuF8OgGDh0TMbMFg6SpgkQ7CZwnKNnSQEEQ0oTdIpnOD0DGT1YTPXgtqOkS9zWimWyTN7ZBOHaIOwlZbpVhJEOwMDCZloOrLMjsSppWmAcHEwSBGcCc+rFAFvcaZdubpF3CMwXFpgbcD4LSppW60uNMwJxnA3QCcdhnA61M7SDGvLXSCDA1yYB/8AYDtCVrZTvFjmlxBGEA68Dj04II/2lBIcwyHQOkRMnYBrWrdJuuyaZyGW0jLqwz6lLT0kx72tbJnGcsJA/HuWf2lTw9rGIwzn2e+CgiqaRcKbXBhlxMYZAPAy2wZ7Cs/tI3oNNwwmScP19cFv+06cA8aDEYbYA8SAs0NIseYAdMSMMxjHfBQRM0k4kA0zJIHRj07BrOqQt7RbHCmx7YF7MOBP3SbuBz1fRZGlKRyJiCZjCBn4Qe0Lahb2vddgtMxjkcJz6p7ig1bpCXtYGOxJBOwj/dat0g4h/wC74zGuOeHF7Nc+Dti3OkGhxaQ4G9dGuTMDvg9y1Gk2HIO1YRib2UIFC3uc5jHUyC7M6vZB+qi/apDQXUnkwJujXEnDVgCe7arA0jTuudjDY1ZySMO0FG6RpkgY4mAY1zH0KDSvby2pcDNYkztaT8xHeoqeknhl59LHD2dUznOrAknVgpRpNhIADiSRGEYFwbPeUOlGAuvNcIJG2YMakClpG89rdzcJMY6sJxhY3843iGYNa44nMiIHRmZUlXSFNhgkzE5aomfn3HYtrPbG1DDQcpEjVAPyc3vQRULeXOYx1MguzOr2QfqrqyiAsLKwgp1ffj4PqpVFV9+Pg+qlQVq9N5dLcviI+RUlL+IPwfVSqKl/EH4PqguoiICIiAqtpq0mmX4mAIicC6Bh198dCtKJ9BjnXi2Th4GR4oIXWmhkSyNkYf7Yo63URjeE55YjGMVs2w0hMMGOffPzWTY6ZJNwSc++UG7GsIDg0Y4gxtxWTQZJN1skRlq2LNKk1gutEAalug03JuHFGGWGSNptGAAHUFuiDTcmxF0QcSIWdzbJMCTgcFssINRSaMmt2Zdibk3kjOctcz81uiDQUmjJoxzw2ZLNwbB3LZEEe4MiLjY2QFnc253R3bc1uiCPcWZ3Wz1BZFNszdEnMwt0QR7izkNyjIZLO5Ngi6IOeC3WEGpptMy0Y54Z4R8kNNpzaMoy1bFusINdybhxW4YjDIpubc7oyjLUt0QRtosEENaCBAgDJYbQYG3QxoA1RsUqIIzQZyG9w15rIptzgbMlsiDXcmxF0QTJw1puTceK3HPDNbog0FJuHFbhlhl+oHchpNObWnVkMhkt1hBo6i0mS0TIPdlO2Fnc2yTAk5mFssoNG0mgyGtB6AgpNzuju25rdEGm5Nx4rccDhmEFNoMgCdsLdEEZoMObGnCMhkhosJm62dsfrYO5brKDTc2zMCdsdM/NNzbsHct0QQtszBeho4xk65WxosObW5RkMtikRBpuTcOKMMRhl+pQ0mmZaMc8FuiCM0WkkloJMTOOUx8z3rYMAyAH6/ILZEBERAWFlYQU6vvx8H1Uijq+/HwfVSIPI0nbLQy0MFJt5gi8Lp+8Y9r9RrXp0ffn4PqpAtKXvz8H1QXEREBERAREQERYc4AScAgyi1viYnVKwyoHAEHAoN0WA4bVgOCDZYREGUREBERARFq5wAkmPzyQbIoqddjgC1wMiR1fohHV2jM5kDtOXzQSotDUbEyIzTdG7Qg3RYBRAWVhZQEREGEWHPAMEga+wZ/NYFQHWM47UGyLU1Wj7wx6UFVuGIx+qDdFpujb1yReiY6NqNqNLi0EFzYkbJyQbLKwsoCLVzgAScAFqK7S67PGGr9dSCRFrfETIjLNaMrsc0ODhBAI1YHL5oJFlabo3lDv25LDazTegjim6euAY7iEG6ytN0bneEdezNBVbyh+sEG6LUPExInrWyDCyiwgyiIgIiICwsog8qzWg1al4gCLzcP5XkD5K6vM0b7R+Kp/+1y9NAUdL35+D6qRR0vfn4PqguIiICIiAiIgKOtTvtjLEHtBBHyUiIKdKwNa5xvOMh2cfeuzq/kHitP2VTxxdiIOWyNivqpVtFQWinTDJY5ri44YERGvVl/qGwoMM0cxrXtBMPN7UIMyCIGo/JYdo1hJMuxGWGGwjDAiVcWUEVnoNpsDGzA2+H4dilREBERAREQFHWpXwBlBDh1gz9FIiCozR7G5TEEatYA+QC0doqmREvjXjn7OuP5AryqWSvUfUrNey61jgGHDERrx7epw2FBs6xMLWtM8UETgPazmBHT1gKM6MpkQb2czMEdo1Tj1wriygwAiyiAiIgIiIK9osoqEEkiBGHWCPFoWjrAxwIM4uvYYZNDfkFDbtLsoVW03NJLoxBGEmMV6CCozR7G63ajqzGvLXrWrNF02xF7i5YjUSdm0nvV1EED7I1z75Lp6DGBER1YT1rNOzNa8vBN4gg454yJ6sY61WoaWZUtDqABkTxpEGNn61K+gLKIgjrUw9paf0QZChZYWteHAnB16Dthw/wDc+CtIgq07C1oaAXcV17VsjHBRs0VTbGLsIAmPu5aleUe7M5Te8IKbNEsBkkmDxcsrobBwxyUjNHMDbsuwcHAk4yGhoxjYArJqN2jvRlRrsnA9RlBSp6JYAMXXobJEZtiCBGGXbrlbnRlOSZdJM6uno/mKuogp0dHMY5rgTLcstQcBOGODj4K2sogIiICIiAiIgIiIPNp2cUqt1pJBDnY7XOJPzVpR1vfj4PqpEBR0vfn4PqpFHS9+fg+qC4iIgIiICIiAiKlbNKU6L2scHknktmOtBdVZ/wDEU/gf82KwDIkZLzq1va2206NwlzmGHTkDJOH+gILVns9xz3GJc4kdA7lOipN0pTNbcRevTE3eLPX4daC8o7Q1xpvDDDi0hp2GMFuo7QeKRJBdgIznoQUm0LQ0QKgzJiRlIwm7snvR9C0uwvtIkEY7HA6m7Bl0rU2eqYkvO3VPGB5WwELLaFQU2MBqcU7cxszQbss9YuBe4EXSM9Z7BPWtWUbSIG6C6AATIkcYT93kz39q0bQrCJc8kdPRHKz6VtTo1QyONeLg4uwxhoBnHXCD0gUXmUaFVoaJeWtgQMMAOvD6qazU6geLxeRdjHbtz6u7pQXVVY29vho1ujvptVoqhYtIUqlV7WB4cTJLhAMADA9QCC3ZqVxgbrAx61Ii0q1QwAmcSBgCcT1IN1lUxpGmQMek4HCWk7NgWwtzLl50j2iRBMBpgnDqQWkVU6QpDN0dh6fSe5H29jXAHAFoLTBg3pgdHsoLSpaXrllmquY6HtbIjMJUtzDADnNyniGcctWC2q2ZlazuY0kNqNz1468dfWg4Otbaz3XnVXk9cfJWP21av8d/h+Cm0logUbRTpNe5weBJIxEuI1DoV3SX2bZRoVKraryWNJAIEIrzP21av8d/h+Cftq1f47/D8F5kuuF2sOAiNoJ+i6LRH2eZaLMyq6o9pdMgARg4jX1IPIp22q119tV4cNc9erLWV22ga76lkpve4ucb0k9DiFzNm0MH2x9nL3BrQYdGJiOiNa67R9jFCi2k0lwbOJzxJP1RFlFhZQEREGrsivm1S0EC61sAa4+q+lLiPtBok0XvcxrtyMbCASclLo89+ka5EPcC04ZBej9kaZ34XiQDTcCMtbVDpKxxRo3nkhziWy3KPuiM5wXQfZrRRosNSoHbq6RxowE9G1TOVe6iItIIiICIiAiIgIiICIiCnW9+Pg+qkUdb34+D6qRAUdL35+D6qRR0vfn4PqguIiICIiAiIgqaVcW2asWkgim4ggwQbpyK4B1oqEyalQnaXuP1X0a0URUpupum69paY2EQvn9usVytUY1zrrXECSMh2INBbq/+PW/7r/xWhtFQuDzUqF4ycXukdRmdZ710ei/s7Rq2dj3mpeIMwRtI2LV/2SO7yKh3GRhIvRGI9naivB39X/x63/df+K0FoqAyKlSc5vu/FdXW+zFnDHEGpIBPtDZ1LkDRIbJccpzHpQdt9nbQTY2uqOc43nCXEuJ42AxXpMaRL3CXRkNQ2BVrBY2WemBiGgktDjlP1P5ddmXOy4jdpGJ7NXb3IiBmkmEtBDm3mhwmMiCZwP8AKVO20AtDiC0GInXOShGj2iOMeKABgMAJj5nvWd5C7cvOu7DGrJBu220jk9v6E/JYNtpjNwH+0/VQt0Y0CLzjhE4YjDPu7NS3OjmmZc4znlsj6IJW2qmXXQ8EkxCmVRmj2tiHOwyywVhtMg4vJ6CB+CClpqTSY0Oc29VY0lri0wXAHEYrlaDHNqWkirW/dO4n7w4fvQ3twwxXVadZNmeQSHMh7SNTmmQuPsdNxrAF7oq1G38RxpeCdW1B3fHdsYO8/gPFZFBuvjGZl2OIy6uxSLSrWayLxiTA6Tn9EETLBSBPEBB1ECMoy6sOpbmy0yACxpABA4oydn3qM6Qpxg6TExBWz7U1oGZJu4bLxAE96Dc2amZljccTgEdZqZEFjSIjEDLYot/0uV4Hp6Og9ywNI0om9htg7JyjZigk3pTmdzZO26FKxoAAAAAyAWtKs183TMGD1qnpW1VqVzcaW6TN7AmIiMu1B5Gnj/x9Dqbt5ZXr6edFjrnD2DmJ8FzWkbTWfaGPqMuPAF1t0iYcSMOtT6T0xXfTfQq02svtg8V0gHtQeBWqGpTe+I47MssGELtvst/AUf8AV/e5caA4UjSvm4XXvYP62dwXr6J0tWpU2WemwPiY4rpMkk60Ve0f/wDVa3U7b/KujXG2a1V22t9RtOapmWXXYZTh2eK6HRdrr1S8VqW5gAQbpE5zn2Ij0kWEQZVe2WttFoc4EyYwj69SsLx/tLatwoCrcLg14mDEAyJ7470glOmqew94/FUNM28V6BpsEEkGSRq6l5dTT0UxUNE3T/1Gz3KDhIw/8t39Y/Bb4Z5Wm2p73URVZTuUifZfJM9YC98abp8l3e38Vyb9LgAXqLwHCWkmJG0YYrDdMsyFJ39QWeF5de3TNMmIPe38V6K4enpICsykaRvvIAhzTmcMl3CUjKIiiiIiAiIgIiICIiCnW9+Pg+qkUdb34+D6qRAUdL35+D6qRR0vfn4PqguIiICIiAiIgwuG0l/EVvjPzXcrh9J/xFX4z80HS6FrtbZqYMzBODSfvHYOhXd9M/m/od+C8vQ3uWfAP7nr0EGa9paWOGOIIxaRq6lwLjLcMcM9S7W2sBbjMbNR61xh9nsQfQWUsZJvO2nV1DUoq2kKdMw++JddHEdiTkAYxVlVbfTa4MvAHjtzE5nFBPSqh4kBw+Jpb81IsLKDCLKwgyiIgo6Z/havwrkbD7+l/mN/uC67TP8AC1fhXI2L39L/ADG/3BB3a1qU2ugOAIBnHat1pUfdaTnsG06gghbZKU4NEj6j8I8FVfaqF6SzANxJGppbdw14u8FfpMujHEnEnaVq2y0wIuNI6ROaCkx9mg8SACWnDAQSM9WZ71aZYaQaG3QQBdxzIiMexSb3ZM3Gz8IUiCrRoll4MkAmS52OJ2D9dqzXtdKgAKj4vTEyZjPLrVlVrbo+lXu7q0uuzEOIzzyPQg5m2WynuowFWY/eXnCMTtE9yittspmoeI2v/OXVBhs7Nqk01YaVK00qdMEB12QXnGXRrMr0NL6GoUrLVexpD2sJBvuOPUSivD33S5qz+uoprJbKe6tik2jnxw6oY4pH1XlNeN7ucXu3QPAGyIy+Z7OldPoPRNCtY6dSowue69JvuEw4gYAxqQVKNqp7s4Q1mLjuoc/Geyda6eyW+lWJFN4cW54EZ9fUuZsdgpPt9SiQTTaCQL56I1zrXSWLRtKgXGk0tLoBlzjllmelEWkRZQFq5oIggEbCtlhB88qUxFONdoAI6Ly77etP/DZ/SFwTPapf54/uX0JW9pFVujaA/wCUztaD3TkvH+1dkptszSymxp3RuIaBqOxdEvE+1v8ACt/zG/VSKofZyi022qSAS2m2CRlOxdUuZ+zIi1WjoYz6rplaMoiKAiIgIiICIiAiIgpVvfj4PqpVFV9+Pg+qlQYWlL35+D6rdaUvfn4PqguIiICIiAiIgwuG0l/EVvjPzXdLg9MkstVUEAS8kYjI4jwQdDob3LPgH9z16Co6IYW0WBwg3Ae8uI8CryKhtXsLij7PZ9F21oEtgZkwuJa17nbmGcc8UCRmcM+tB9FCr2zJn+Y3+5S1agYxzzk0EnqAUVrPFZ8bfmERZRYWUGEREGUREFHTP8LV+FcjYff0v8xv9wXYaWpl1mqtbmWmFxuirz7TSa2Jvg6shxjr2AoO+UI4z/5WeLvyHzOxbVnkDD2jgOv9Y9izTYGtAGpBsoqlpYx11zg0kE4mBAzUpKq12U3gPOGppM/LWg3fbKbXXS9ozxkQIIBB6cVk2umI4wMkDAzmQPmVTDLOCM4DQb14xkOnOGDuQNszSMdpm8YBDgccc5QX6VZrxxSDgDgQcDlktnPAEkgDaVXslKmGnciYywJMECMJ6lBpUblZqtRpN9rZDjiR1Tkg8X7QVQ62UIx9nMlv3z3r19NyLHXc8gi4eLED8Vxla3Vajw99RznCIOGEGQpzpm1HOs49g/BBQr1WupuLQGi+wRshhB8Quz+zMusVIDAC9J/1uXLN0jWAAFQwOhv4Lenpe0taGtrOAAgAR+CK93Rv/wBUqjodrO1updIvnLLdWbUNQVHB5zdhrXbaBrvqWSm97i5xvST0OIRHoIsrCAiIUHzyjnS/zh/cunrjju+I/NcvZpLqIw96NY27F1Vb23dZVvaTpFCqacP/AAg/zm/2lXlS06JsrAP8Yf2lBt9lv4m0/Cz6rp1zP2UB3e1HoZ/7LplL2osrCygIiICIiAiIgIiIKVX34+D6qVRVffj4PqpUBR0ffn4PqpFHS9+fg+qC4iIgIiICIiAuX07Y2mu97uSCeNGEERltC9H7RaRqWak007t5zokiYXGWq21aji6o5zzGJgYD6IOrpaTs9OGbpN1jWy1riMJ1gLf9t2fln+h34LjxUdt8FqXuve2R0QPwRXYnTVnJbxz7Q+47b1LzLHo6ma7HsIcBVBBDgcnZ+zs6V4e6O2+CU7S9rg5ri0g4OAjHZKD6TUYHNLXCQRBHQVWtNINukF3tsEEk/e6V5f2a0tVrueyqQ66JDog6s4w1r17Zkz/Mb/cERYRaV2XmkTAOZ6NfgtLK0MYGF4ddwHVqHXEIJ0VS3aRp0GBzySCYF3GTH5Lxv2/L3zVuAOho3K/hAzIdGcoOkWFxeldPWhzS2hVMh7YcGBpLS10zM/eheV+19I/47/8Aw/BB3GltJUaQdTqEguYcmk4GRqXPaPqUaFZlV0i6SMCXEFzcojpXkC0WisC6u8vdgBIGU9CvW+sHsowCNeIyyRXY2Ku2uN2b7JkNnDI4nvHh0q05wAkmAMyvm37QttMltKq5tMHAC7GJ6cc1h2ldIGJrPwP8mc9W1EfRADUxODNQ29J6OhSVKQdEjIyMYg9i5LRWnau5RXrw8OI91fJx1kEDXCvWT7RAOfujr7ARdcGXTiCTxZJOIQeyLDTiCJmZOUzJOXWVg2GlM3Ykz7RGMzOecqYVWkA3hBE56lDbKO6tuh4bGI1w4YtPZnHUgnp0w0Q0QJJ7zJ+ait9nFWi+mTdDhE5wpwtX7Nv6KDiLdogUaraZqElwBHEznAa9uC9TgiP8c/0fmujLATJAJ6lsg5rgiP8AHP8AR+acER/jn+j810ywg4az6Iv2k0L5Dh7XFyjPX0jvXYaNse96LaQdeuzjEZkn6qYsAcDAnKY/WwKRAREQFhZVe0VowDmt2udq/EoOasFJn7SL9zqBpqPuyML0GTOyQ7vC9Gt7R6yqVagC7Fz4DnGWuuuMnAghVX2dpeX3nl3S4/IK4j14UOkrjrHUaQXG8LobiZkQY2LynMqgyK9QEiMCMjqyU1jDRTIui8YAOwNI/BMHr/ZakGWd2BDjUN6RB1R4QvZXiaJe4VSJaGOLjGsnVOzAeC9tRcZREQEREBERAREQEREFKr78fB9VKoqvvx8H1UqAo6Xvz8H1Uijpe/PwfVBcREQEREBERB5entGOtVJrWODXNdInI/guQtuha9LGpTw5QJI7SB819Be8NEkgAZk4LybX9o7OzBjt1P8AKcP6vwlBxZpkcnv/ACQ0nzk2Nt78lftWkA+o54p0m3hEDpnM68+hRm3MBgtoT1fmiqm5ukjDDpP4KazaLrVT+7ZexzBMA9eSkFsF72KRgjAiR3T+K9yyfaBphr3bn1OF3waYQWvs/oWpZi59RzZcIutkxlr7Ni9K3OADJIHHb8wo7PaS6CxwqA5cYEHqcPkQsVbJTrGHufLXXg0n2SMiAiJdJVajKFR1GmKlQCQyYvdCnpzdF4AOjEDEA68VrTaGDF5PS4rbdBeuziBMdGP4FBT0rZnVRTaGNe2/xw7kkES06iCR4qi7QTg95buDg514boxziMBhIcNnivZfWa3AnHZme4Yqu+3Nki9TYdd94BH+mfnCDwNI/Zis9n7p1Fry8HihzAGhpEDPWQV5vA62/wCNS/7j/SuqraTs7CBUtbGk4+00KP8AbVk56z+tv4IONFiq0ZbUcDJEQScA4g9WIKsWu9coS4kFpIGyHhvyUtrtNNxG5up1A3M3AYxgYkbAD2ravVDadE3Kb7zTg5oIb+8PsjV+QRVWhoC1WhxdTexrSJEvIwkjIA6wVPwPto/5tPsqP9K9XQ+lbNTM1KtGkQ0gt9mDe/AA9q9XhBYudUf6wiPI0b9nqrKcONmebxMvY55EnDjSOg5L0bFoFrS81hTdeIhrA5rRAj2STKvG0Umv97TG0FwHh49+1T0qzH+w5rozukH5INwFUt9Ws00txptqBzwHyYut5WWKtogLX73V9VstaeU7cUCo8NBJMAKJttpEDjtEicTkOnZmsWqpSi7UcBEHMiMcMupVTRs1wgGWicA89Z15YILYtlO8WlwBG0iMXEZ7ZaVJRrNeJbiJI7jComnZZJkSAZ4xykkjpxf4hWrIacFtN0gHHEnGdp6ZQS1MurFbrBEhYYZAPQg2RYWUEFtrGnRqPGbWkjsC56jUfVYapYTnjnAGvE+HQvc0r/D1AM3C6Ot2H1Xh2iwW11M0m06YZkHbpjd7kFO0WyCAJIIkEQJ+aiFskAQ7DLEa89So2hj6Rc19ziYGHEgRqmFXq2wsN0tx6DKqPYqVTTMOpuBziR2alinbcfZdido19i8b9ozmHHrkqxZXPq+zdB1XnQT1BB798XC8NcWj72ET+ta9TQFsNam+Z4pgSZ1LwLFY7aaL2UxTcxxx42InOF7n2csdSiyo2q0NJcMjOpRXsoiICIiAiIgIiICIiClV9+Pg+qlUVX34+D6qVAUdL35+D6qRR0ffn4PqguIiICIiAiIg537Ze5p/GuPqGD2YCJk7OhfS7VZKdZt2owOb0/Q6lyeltD0qVRwpviGg3XO144A56givEhY7F6h0JWDiNzLsAZDxBmcRisHQVaZ3J/8AWPUg82FEHY9sRGrbK9g6FrYfunYkD2xr/wBS3s2hWuqBlR4EvukNdJz2n8EE32UYTUq3cwJHWI/Mdq60tbUaDEg4joVbRlhpUWkU2BrsnHEknrOMZFb13mkHERBc2J1XnAO+c9qIjbommIxdgQRlgRPR0reno5rXNdecS3q2EYkDY7wC0rWt4v3bpAYXtMEggA4TOd4DsKw211C9rRcgvuzdOIuXpGO3D9Qg10rutOl/wzOMTxoEmIOPXMLn6ItBfWLKDKn7zjF7A4g3W4S6DlHeuxVKtoizVHF76LHOOZIzQcBpdo3d27jcnwOK1sCOoA6oVENoct3d09S+hWn7L2OqQTSuwI4ji35KHgdYuQ//ALjvxRXHWNlO6bhJykkZHowV+0tbudKC4kgSC2NnRjivQ0l9nBReBZqTi0gEmb2IJ1k4YLStZt2p0mUg17xGALZiBOZQc7aGUd0dLnAziAPyUW50IPHf3ap6ti7Wx/ZOzvph1em4VTN4B5GsxkYyhSv+x1jgwx//AHHCRrGaDyrI20m/ds9N/H416m0x7OGJ2YqWyVbWypV3OldqS28xrYb7J1DDZrXvt0TZX4uoUy7XxVastipUQRSptYDndESiJmTAnOMVssIgw/LwRxDWkkwAMSdgVaraP3l0PYLuJDunLWtK9oAY68+kWxBGcg9qDW0OoPcC5xDm4ZEYSMPEd4WWssxa4j2QDOLoDX59hzhY3NnKo/qOnoHcFikWG8Guo53XZ9e3pQHizQTjxQSYvSIIk4dICkpV6LJIMEmNZxvOw65vYKFzKTS0TQ4xIAjaMdeWC23OmMZo7e2SZz2k96C+x4c0OBkESD0FGZdqp2euNzZdfSDbogbBGGtS0K4L3MvNcYvcWcBkgsosLKCrbBO5t2vHgCvI03pOoHmlTN2M3A54eC9LSdcU4cTF1riOuMFy9mca5JuOwxN0+OASDy7bXLgWCS12JJ1ka1UpMcCZi7qXr1qlPD92T/q/JRXqR/5R/r/JaTHn1HugwMdUqazB7QJwP5q7Vpspuh1JzTsv/ksNrU9dN39f5KaY9Gw6QqUjEdYGHhl3LqbJUvgviL0GP9IXINa25fDH3MpnCe5dF9naofQMAgB5GJnUFFeqiIgIiICIiAiIgIiIKVX34+D6qVRVffj4PqpUBR0vfn4PqpFHS9+fg+qC4iIgIiICIiDC4rTtpfvupcqOgERGohsHV2LtVwuk2jfNbAe2dXSg6awvDmMIMjcmeEg+KtLz9De5Z8A/uevQQaVDF0nIOC46lbHiu1xqG6Hgk6rodsu9q661ewuJLBdOAy2IPoNTiuD9Rwd1aj2fXoWRaGEE3hAJB6xnh2KRU3aMpkky4EmcI1knZtJ70E7bSwxxszA6wthVbE3htz2qE2FhAEuwdeGWfcoKmimkC64g5YgHC6G7NjR4oL4IORWVFZ7OKYIEmTOMKVAREQQW94bQqEmAGHHOMFyGhLa4WqlulQ3S6OslpA8SAup01/C1fhXI2H39L/Mb/cEHdosqC0PqNi428IM7QRiNYzxHWQglDQDO1ZXmutFoc0xTuuBwwzxH59ynrV6ocA2nIuiTGRnZOOE4ILiwqLa1eTLJxwOWF4xr2RipbO6o9nH4jtcDoB1zrkdiCO01CHu45aABA4uJx2gqpYrU6qXRUm7g67cN12tpgHEdis1aYY9xA9oDEuE69bjKr2VhYTiDIx4zcTyjjmgmtDnsY5wecNtwADWTxdQx7FpY6zqrLwqS0niubcIcNuAPV2LNdxcwtBgnXfb+OWpYs/EBGETIF9sNGwY/qUGtutJotDnVbrdb3XABszAz61NRL3NBc5wJGI4hjtuqG0i/GUDNpe2DsnHUs2d5ZxCb2Egl7ZO3Xt+aDS12t1N7W7pi4cQE0wXu1gSNnXmr1nkPILi7i6wNvQAqNopl7pBjCBx28U7W45x9Fespl5OERGYOvoQW0WFlB5dusm71rj/YuCB/NLvwC8+y6MtFFjqLLhvjGpH6he8W/vAdo+X+6lRbXAM0XWNrNl4ocBN4nCNviMFFWsVRji28wwSNepQ2S2E6Qp1Mb7qwnHDjOg/Mr17Uz97U+M/MrUjFuPKqtqSXPc07SSVO7R9Tem+mljqewEznHzVk0QRBGBVO236dDcYIpF26CMOiR0belS8LLr29H0LQ6xspFgLaokHkgnCdm1exoKxuoUbriCS69h0gfgqn2Rr37KRjDHlokycgT4lezQ9hvUPkoqRERAREQEREBERAREQUqvvx8H1Uqiq+/HwfVSoMBaUvfn4PqpFHS9+fg+qC4iIgIiICIiAuF0n/ABFb4z813K4bSX8TW+M/NB7+h/cs+Af3PXoLz9ENduDCGEgtzEanO2npV7jf4bv/AB/FBHavYXFO9k9S7W0NcWniOGuTGrtXFO9k9SD6KsrCygLCyiAiIgwiyiCjpr+Fq/CuRsPv6X+Y3+4LrtNfwtX4VyNh9/S/zG/3BB3aLKIMIsogwioTaMHXeNABEiBnMY+OcKGsbSYBaDJOoETckTjlenuCC0Wlzy6ldh0S5zZy2Yif1it6lnc4FrjTIOYuH1KtVqWhgJuyNQGObuvYr9Mm6JzjHUgj3J/Kp/0H1LVlnc2YNMSZPEOf9XQrKwgrus7iWkmnLTI4hwwjlbCta9F8TLJbiOJ3j2titI4YH6oKlNlxoaH0gGgAcSIA/wBSlo0+NfJYTEAtEYTjrKgGjGcWSeKAOjAg6+kBWLNZm0m3WzHT0AD6IJUREEVWq1rhecBgczCb6p/4jP6gvN0uJfH8oPifxXnhiDk7Dha6ROQrNM/6wuptDJqPIEguMHtXK0RFVvxj5rrRir7Ylmom0+hVftHUu0bKBH37w7QvSaMF4v2jzpdv0UvlvC+M9br3Psi5jLM8X24vJz1ED8F71FwutAIyGtcPoakdxvjGHGR0YLo9GuBrCOlZ3435Sdx7SLCyqwIiICIiAiIgIiIKdX34+D6qRRVffj4PqpUBR0ffn4PqpFHS9+fg+qouIiICIiAiIgwuF0m4b5rYj2zr6V2lf2mzfuwfZnPCMu1edV0RZHuLnU6pcTJM1c+9BY0Ef+EpdR/uKvqlQo0qbAxm6hoyH7xHVGio1v72C0mePqLfUgs2j3b/AIT8l89c8XTiMtq7wtYQQd1g/GvP/YVjy3Kr/VW/FB7Syq9D2jF+7A9qc8dqsICIiAiIgIqzovOvbp0Xb8RA2dMrHE/6vmII9Nfwlb4Vx9heN3pYj3jdf8wXZVadJ7S1wqFpzB3RU6Gj7LfcRScCxwgjdNgM+KD10Vbif9XzE4n/AFfMQWkUFm+97UXsL05QNuOcqdB57t8FzrphoJi8BqBjVlMSsxaNrdWcdv6/3V5EFBgtMgkgCRIw2mdXw+KvrKIMLKIgIiICIiAiLCDzNItBqf6fqVUexrdZW+mHlldrhiLuI7SqteoBxu0fRZ+tXxySuVbSmuG7Xx4rp3UXsAgyFGzPdG0mztu5lautxaCLuJOv9ZK1FljnEROK8f7R0zepk7D9FaFrLSMCJViq01LocxrwcRgfoio9AUgbMMY4xXqWCzmnaGxi0z2GMlVZUbTF26GgZBvSV6Gj7QHVbuIcJkFZ+rLj1VlYWVpgREQEREBERAREQUqvvx8H1Uqiq+/HwfVSoCjo+/PwfVSKOj78/B9VRcREQEREBERARYRAVao4b4p4/cf82KyoKljY6sysRx2Agduvsx/qKDDGP3Z5JNyBdx6Mdf0VhEQFlYRBlFhZQEREBERAVazOG6Vsfvj+xqsqvQsbKdSpUaONUILuwf7nrJQYsTHhn7wm8TrOXiVYWUQYWVhZQEREBERAREQEREBYWVhARZRBz/2htVNlRrXPDXXZE9ZXlVKpqU4puZxTDiDgBqPUuzcwHMA9YWBTbsHcpjU8vlcU11UCN80Y2bq38VpUDiINSl2OC7jcm8kdybk3kjuTE1xFMPbnVp9rgp6daq08WrSHRfaPquw3NvJHcsbk3kjuQ1ylnDy8bpUpOGwVGkz2FXtD1Ke7wx7CTMgEEr3tybyR3IKbRiGgdiYa2WVhZVQREQEREBERAREQUqvvx8H1Uqiq+/HwfVSoCjo+/PwfVSKKj78/B9UF1ERAREQEREBEWEBERAREQFlYRAWVhZQERYQZREQERYQZRFhBlFhEGUWEQZRYRBlERAREQERYQZREQEREBERBhZREBFhZQEREBERAREQEREBERBSq+/HwfVSqKr78fB9VKgwqNeswvIdTc4gxxcfwHivmnDPSPOPLp+lOGekeceXT9KD6TSfRe4NFN2OAOrX09Hj0LNZjWhputx1SZHivmvDPSPOPLp+lan7YW/8Axx/2qfpQfTrNTY8GWRHSVvVs7W3YpzLgDicBtXy8fbLSAytEf/jp+lZ4Z6R5x5dP0oO40zpDe1UMbRY8QCZc6cZ1bMF7Bsrb8XOLEkyc9X66F8sf9rre4y6s0naaNM/+q34Z6R5x5dP0oPo1F7HV3UtygNnGTq2idf1CntFFrIineEEuMxAEdPX3L5lwz0jzjy6fpThnpHnHl0/Sg+kBzczZ6meESe9b7m28BuRAuziTgZAjZ/svmnDPSPOPLp+lOGekeceXT9KD6OS0OI3u8gGJE7YB6oVzedPk+JXyzhnpHnHl0/SnDPSPOPLp+lB9T3pT5PiU3pT5PiV8s4Z6R5x5dP0pwz0jzjy6fpQfU96U+T4lN6U+T4lfLOGekeceXT9KcM9I848un6UH1PelPk+JTelPk+JXyzhnpHnHl0/SnDPSPOPLp+lB9T3pT5PiU3pT5PiV8s4Z6R5x5dP0pwz0jzjy6fpQfU96U+T4lVAWzBoPzIkAx0Zr5vwz0jzjy6fpThnpHnHl0/Sg+kMdTJg0XgwTGOMbMUe5gBO4VIGef61L5vwz0jzjy6fpThnpHnHl0/Sg+jF7R/8AHqnsKsUKLHgk0y3GADM5D9di+Y8M9I848un6U4Z6R5x5dP0oPqe9KfJ8Sm86fJ8SvlnDPSP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- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/CMJaIZmgD2Q\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f03dc3700a0>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('CMJaIZmgD2Q')"
@@ -212,7 +188,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -224,31 +200,9 @@
},
{
"cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "f0ef2921d0e64665ad69c2e68c271f17",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_trc = PullOutModel1D(n_e_x=100, w_max=6) # mm \n",
"po_trc.geometry.L_x = 100\n",
@@ -283,22 +237,9 @@
},
{
"cell_type": "code",
- "execution_count": 4,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "evaluating pullout curve for L 100\n",
- "evaluating pullout curve for L 150\n",
- "evaluating pullout curve for L 200\n",
- "evaluating pullout curve for L 250\n",
- "evaluating pullout curve for L 300\n",
- "evaluating pullout curve for L 350\n"
- ]
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"L_list = [100, 150, 200, 250, 300, 350]\n",
"Pw_list = []\n",
@@ -324,20 +265,9 @@
},
{
"cell_type": "code",
- "execution_count": 5,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "21.71"
- ]
- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"f_trc_t = 1300 # [MPa]\n",
"P_fu = po_trc.cross_section.A_f * f_trc_t # [N]\n",
@@ -362,35 +292,9 @@
},
{
"cell_type": "code",
- "execution_count": 6,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "00c1717a975a4ae0a50e177a0b77d7d0",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=1000.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"fig, (ax, ax_P_L) = plt.subplots(1,2, figsize=(10,4), tight_layout=True)\n",
@@ -450,40 +354,16 @@
},
{
"cell_type": "code",
- "execution_count": 7,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/vBmCr7c5yrU\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f019388da60>"
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('vBmCr7c5yrU')"
]
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -507,24 +387,9 @@
},
{
"cell_type": "code",
- "execution_count": 9,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\sqrt{A_{f} E_{f} p_{b} \\tau w}$"
- ],
- "text/plain": [
- " _________________\n",
- "╲╱ A_f⋅E_f⋅p_b⋅τ⋅w "
- ]
- },
- "execution_count": 9,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"p_b, tau, E_f, A_f, L_b, w = sp.symbols(r'p_b, tau, E_f, A_f, L_b, w')\n",
"P_w = sp.sqrt(p_b*tau*E_f*A_f*w)\n",
@@ -543,23 +408,9 @@
},
{
"cell_type": "code",
- "execution_count": 10,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle L_{b} p_{b} \\tau$"
- ],
- "text/plain": [
- "L_b⋅p_b⋅τ"
- ]
- },
- "execution_count": 10,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"P_max = L_b * p_b * tau\n",
"P_max"
@@ -581,27 +432,9 @@
},
{
"cell_type": "code",
- "execution_count": 11,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\begin{cases} \\sqrt{A_{f} E_{f} p_{b} \\tau w} & \\text{for}\\: L_{b} p_{b} \\tau > \\sqrt{A_{f} E_{f} p_{b} \\tau w} \\\\L_{b} p_{b} \\tau & \\text{otherwise} \\end{cases}$"
- ],
- "text/plain": [
- "⎧ _________________ _________________\n",
- "⎪╲╱ A_f⋅E_f⋅p_b⋅τ⋅w for L_b⋅p_b⋅τ > ╲╱ A_f⋅E_f⋅p_b⋅τ⋅w \n",
- "⎨ \n",
- "⎪ L_b⋅p_b⋅τ otherwise \n",
- "⎩ "
- ]
- },
- "execution_count": 11,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"P_w_pull = sp.Piecewise( \n",
" (P_w, P_w < P_max),\n",
@@ -640,23 +473,9 @@
},
{
"cell_type": "code",
- "execution_count": 12,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle 8.684$"
- ],
- "text/plain": [
- "8.684"
- ]
- },
- "execution_count": 12,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"tau_fu = P_fu / 10 / 250 \n",
"tau_fu # [MPa]"
@@ -672,35 +491,9 @@
},
{
"cell_type": "code",
- "execution_count": 13,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "d677b84d794743aca8f929328b274b85",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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' width=1000.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"get_P_w_pull = sp.lambdify((w, p_b, tau, E_f, A_f, L_b), P_w_pull, 'numpy')\n",
@@ -742,33 +535,9 @@
},
{
"cell_type": "code",
- "execution_count": 14,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/t0_atbKAfRE\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f0193c14370>"
- ]
- },
- "execution_count": 14,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('t0_atbKAfRE')"
]
@@ -789,31 +558,9 @@
},
{
"cell_type": "code",
- "execution_count": 15,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "89811717e0dc4649831c39ce465f2c63",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_cfrp = PullOutModel1D(n_e_x=200, w_max=1) # mm \n",
"po_cfrp.geometry.L_x=100\n",
@@ -841,21 +588,9 @@
},
{
"cell_type": "code",
- "execution_count": 16,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "evaluating pullout curve for L 5\n",
- "evaluating pullout curve for L 10\n",
- "evaluating pullout curve for L 50\n",
- "evaluating pullout curve for L 100\n",
- "evaluating pullout curve for L 200\n"
- ]
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"L_list = [5, 10, 50, 100, 200]\n",
"Pw_list = []\n",
@@ -885,35 +620,9 @@
},
{
"cell_type": "code",
- "execution_count": 17,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "f489192537f240bd9e589185691d59d2",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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- " </div>\n",
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' width=1000.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"%matplotlib widget \n",
"fig, (ax, ax_P_L) = plt.subplots(1,2, figsize=(10,4), tight_layout=True)\n",
@@ -963,33 +672,9 @@
},
{
"cell_type": "code",
- "execution_count": 18,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/CDv6xEz4IJU\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f0189562640>"
- ]
- },
- "execution_count": 18,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('CDv6xEz4IJU')"
]
@@ -1127,8 +812,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
index 7386e1b..7a3b1f1 100644
--- a/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
+++ b/tour4_plastic_bond/4_1_PO_multilinear_unloading.ipynb
@@ -17,33 +17,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [
- {
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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/SCuoGg7_8GE\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f62343c09a0>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('SCuoGg7_8GE')"
@@ -118,7 +94,7 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -153,24 +129,9 @@
},
{
"cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "a39a0163bc8a49dea1204e5a3c2a0fea",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_trc.loading_scenario.profile = 'cyclic-nonsym-const'\n",
"po_trc.loading_scenario.profile_.interact()"
@@ -186,7 +147,7 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -204,31 +165,9 @@
},
{
"cell_type": "code",
- "execution_count": 5,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "4a67453e049b474e9f9d7949c7054ef2",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"po_trc.reset()\n",
"po_trc.run()\n",
@@ -253,31 +192,9 @@
},
{
"cell_type": "code",
- "execution_count": 6,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "a442e215c89a429cb59e4e18f507d492",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"A_f = 16.67 # [mm^2]\n",
"A_m = 1540.0 # [mm^2]\n",
@@ -325,33 +242,9 @@
},
{
"cell_type": "code",
- "execution_count": 7,
- "metadata": {},
- "outputs": [
- {
- "data": {
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- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"YouTubeVideo('btj1SgUjBeA')"
]
@@ -548,8 +441,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb b/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
index bd276dc..5597792 100644
--- a/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
+++ b/tour4_plastic_bond/4_2_BS_EP_SH_I_A.ipynb
@@ -17,33 +17,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/OLMa5bYffSA\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f691462a670>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('OLMa5bYffSA')"
@@ -101,31 +77,9 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "3b784325f6914082a86ab0db6fb26d6f",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from plastic_app.bs_model_explorer import BSModelExplorer\n",
@@ -145,31 +99,9 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "07122a5af6934c32a55b744748c77e99",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"bs.s_1 = 3 # load to 3 mm\n",
"bs.run()\n",
@@ -225,33 +157,9 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/BlsIRMT7SEo\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f66cd6f5b20>"
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"YouTubeVideo('BlsIRMT7SEo')"
]
@@ -315,33 +223,9 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"YouTubeVideo('QOALP75E4uU')"
]
@@ -362,7 +246,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "skip"
@@ -438,29 +322,13 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
- ],
- "text/plain": [
- " _______\n",
- " ╱ 2 \n",
- "-τ_Y + ╲╱ \\tau "
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"tau = sp.symbols(r'\\tau')\n",
"tau_Y = sp.symbols(r'tau_Y', real=True, nonnegative=True)\n",
@@ -494,27 +362,13 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle E_{b} \\left(s - s_{pl}\\right)$"
- ],
- "text/plain": [
- "E_b⋅(s - sₚₗ)"
- ]
- },
- "execution_count": 8,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"s, s_pl = sp.symbols('s, s_pl') # total slip and plastic slip\n",
"E_b = sp.symbols('E_b', positive=True) # E modulus\n",
@@ -595,31 +449,13 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}$"
- ],
- "text/plain": [
- " _______\n",
- " ╱ 2 \n",
- "\\lambda⋅╲╱ \\tau \n",
- "──────────────────\n",
- " \\tau "
- ]
- },
- "execution_count": 9,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"lambda_ = sp.symbols(r'\\lambda', nonnegative=True)\n",
"dot_s_pl_ = lambda_ * f_tau_.diff(tau)\n",
@@ -725,27 +561,13 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)$"
- ],
- "text/plain": [
- "E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})"
- ]
- },
- "execution_count": 10,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_tau = sp.Symbol(r'\\dot{\\tau}') # will be used later just to display the derived expressions next to this symbol\n",
"dot_s, dot_s_pl = sp.symbols(r'\\dot{s}, \\dot{s}^\\mathrm{pl}') # control slip and plastic slip rates\n",
@@ -767,31 +589,13 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{E_{b} \\left(\\dot{s} \\sqrt{\\tau^{2}} - \\lambda \\tau\\right)}{\\tau}$"
- ],
- "text/plain": [
- " ⎛ _______ ⎞\n",
- " ⎜ ╱ 2 ⎟\n",
- "E_b⋅⎝\\dot{s}⋅╲╱ \\tau - \\lambda⋅\\tau⎠\n",
- "───────────────────────────────────────\n",
- " \\tau "
- ]
- },
- "execution_count": 11,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_f_ = f_tau_.diff(tau) * dot_tau_.subs(dot_s_pl, dot_s_pl_)\n",
"sp.simplify(dot_f_)"
@@ -810,31 +614,13 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{\\dot{s} \\tau}{\\sqrt{\\tau^{2}}}$"
- ],
- "text/plain": [
- "\\dot{s}⋅\\tau\n",
- "────────────\n",
- " _______ \n",
- " ╱ 2 \n",
- " ╲╱ \\tau "
- ]
- },
- "execution_count": 12,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"lambda_solved = sp.solve( dot_f_, lambda_)[0]\n",
"lambda_solved"
@@ -894,27 +680,13 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\dot{s}\\right\\}$"
- ],
- "text/plain": [
- "{\\dot{s}__\\mathrm{pl}: \\dot{s}}"
- ]
- },
- "execution_count": 13,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"{dot_s_pl : dot_s_pl_.subs(lambda_, lambda_solved) }"
]
@@ -955,27 +727,13 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{\\tau} : 0\\right\\}$"
- ],
- "text/plain": [
- "{\\dot{\\tau}: 0}"
- ]
- },
- "execution_count": 14,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"{dot_tau: sp.simplify(dot_tau_.subs(dot_s_pl, dot_s_pl_).subs(lambda_, lambda_solved))}"
]
@@ -991,33 +749,9 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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EgFhFhN5By7FfrTT6VSkGMJJxg+aRYA9PStTVugO0mrs2lrThLpdMWjh1rLWeq6mjOAfBB81zcjxHQVxMRdpkubdzRtMqUNW0HUgCS9wMgm2Jx3dS6Ghac+vo9R1RgYQ6IE5WO/rU/Jr7FS/P/cVvaX9W743rtWWkaMagZBiBxifDJZDR3B+MOJOENwkwBG8WVOn16tNlPZMLiTBgG3JmTANrcN62dBqPfRpuqDC8tBcIiDF7HJcxhiJtZmZimo/VhdRFElsAkzBuTP3ZtnxWQ1eRTqU5BDzJMZdm/vHRC26TnkuxNAAPJgzIha+lVqjagDAS3DeGzhvmOJ6P+l0hQ0EUy5zQC50Am4gQBbPhvVWj6r2bmuDpLYgXAsHDp5++clt6Y5wpuLPOHwfBRojyQ6XB8GA4CJsD+5QU1tBL6Zpl2EFxfIuZJLhEjcSL9Cwq6DUNRzxVIDsNhI6HWmLjtnfZZ4n7b6x0Yo2eERHGYlbGlPe2mTTaHvtDSYm977rIKNF0E03l20c4REGe+5+JV9Ok4Pc4ukHIcFa2YE2K1NCrV3VKoq0wxjXRTIPnCTfPgB3oNCvSdjfyXecdx4qvZO5ru4rr6U94jB/aTfgYy3qys5wY4sGJwBwiYk7hKDibJ3Nd3FNk7mu7iuzo73kHaMDTJgAzI3FVac+sANi1rjDpxbju8fYg5eydzXdxTZO5ru4rddpGkzIoiA7KRJHK6bRDe9QNJ0oD6nHc7w0kTaL57o6M7oNPZO5ru4psnc13cV19GfUIdtGgEG0ZFW03OIlwwnhM+KDh7J3Nd3FNk7mu7it2q+t84AGLDOWHk4eTeYjLHvBkCBxv1jVrNa3Ysxuc4A/0gzLsx0IOXsnc13cU2Tua7uK7GibTZjaxjvMZZ28IV6DgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iu+iDgbJ3Nd3FNk7mu7iunWr1WvcG08QiQckZpbwRtGBjbySbCwi5te6DmbJ3Nd3FNk7mu7iugNKrXOw7MXX/jxVukveDYuHJthbMngbWGXDMoNLRGuioBZ0WkZG8SE0HTi97qThymTLpF4MXAy6OIvZX0fravWFfCD4H5P1mMrONR7WAsIBdlMgx4Lc1zpNM6M1rarKj8bSQ3oBE+K4+gaBU0l+CkAXATcxb4KnTtW1dHdhqgNO68yOgriYjNbuJnLT67Ummso6voueTcuAAEknEbALfGmMrUXuYTaxBEEHgQuXqfQzV0DRi12B9NznNMSJxHMLoUtDNKlVL346lQ4nGIHCwXbh1abeSLnILLB0lRT80dQWaDDB0lMHSVmiDDD0lMHSVkiCis7CRLnC4EC8kqmnWaT9fMEgyW3IAJGW4GbK6vSxFpyLXBwtPQfAla9LVrGEQX2IN43BoAy3YGoLG1MVMOa8uaRIc25PUALqGHG1pZVdBAOQkjjBFpU/NyKeyBOHDhxTygMrWhWU6WHeTYC4G6eAHFBU6q3EW7YgiJEttMwLj4hWU6ofOF+KCQYORGYVFXVrHFxJfefHFIy343d9oV7aZbOG4JJvum5i3Wgwa/aAlj3iJF2xB6nCd6zcCASahEDMxbpyWNCiabQ0EuHF2fTkBPHtUuoSwMJcSMPK3y0gg5RMieCCkaS3DiNeGnCRcCzsp65Vj3YIxViMToE4b/0iyqZq1jRAL7AAZWjDfLPkN6LLYdTLomRBBBGdusIMWuBNqs3Npb1R4jvWTTAkvJAFzaLZlUM1YxrsQL5xTuvdpva/mN6bK91AFhYZggid90FTtJZhLtsA2JmRYAxN925ZVHhjcTqxAJaASWxfKLb1gNXsvd/KDgcvvZnLPw6FbUpF4wumJBBGctIIOUZhBAeJP8UWdxFugqHgiG7V+IgwSBw6o6VWdWsxF0vkmTlxJjLK/XYK51IucxzvuEkATmRGfaUE4HR9Y7rt/hSxrhm8nKMlnCQgxAN+Uf8ACmDxKmEhBEHiUg8SphIQRB4lIPEqYRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiUg8SpRBEHiVmG9JWKsbkg0KX1tXrCvVNL62r1hXoPP/khUO3q8rCdnYzH3gul8pnPGi/xHtfFRuCCJAgzPh3L4+hoz6rsLG4jn1DiSbAdKz0jQKlIBzmjCbBzXBwnhLSb9CxnBeLNbqMWlPRPkq6dAon8f95XR0v6t3xvXzuqK1VmqaBpAES7GZu1uMyR/ncupodV79GcXyR9xxzcOnj1781s5dmn5o6gs1hT80dQWaAsXGATwCyUEIK31SJt92c+GayxXI4R4ps28B3KcI4IMNJqljZAklzWj8xAnsmexVV9KLajGBslxyGcb3dAEi/ZmQrNIpFzQAYIc1w7CDHaAR2qG6IwVHVBOJxEnEbwIAicujK5O9BaHXI4LU0fWTalN1RrTgGISLyQYsB8X61t4c879J8OC1qWrqTGljAWtIaIDnDzAA3fnAAnfF0Gy14LQ7dE3sq6WkNe0OEwTGRWdOnhmCTPEk7o39Sxp0GsY1jZDWgAcozbK+ZQV19MDKjacS5zXOF480gR1nF4FWVquFoIvJAHaY+OpQ7Rml+O+KALOIsDIELBuiBtNrAScJDgT0GfjrQWMrtOK9mmCdyOrNDS6RAzMoyg1uKB5xl03kxG/oAR9BpaWxDTmBb2INenpT3vIayGibmc4tPD/AJVlLSsTqcDk1GFwPCIt24vAq+IEDcLLXpaLhdTg8mmwtA4kxB7A0+sUGyiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiDRpfW1esK9UUvravWFeg86+T5BZUaIx4g477YSGuI3ta4gnhIO5b+tXsNCq7NpaWgyDJkYGyBcghzugda+Up48Y2ZcHzYtJB7CFnpNes4jbPqOIyxkmOqVK0S3ovyR/l1H8/wDe5dPS/q3dX7rk/JOoBq6gTP38gT993BdSu8OpOIntBHgVVW6ZpBpaOagAJa0WKs0OsalJjyILmgwOlaut/sb/AMI9oV2qvs1H8DfYtKjJftnc/qV6baIizaChSiAi5muyQKF4G15Uuc0Rs3+cW7pjthUnTarBhpMD+QXtjE4ENBls7ziwet0IOyi4Z02rjDpxNbIxBrg1zSaUmOgOffoPSp+e1HuDhdpcA1uEiQKwbin8MdG/JB20XFoadpFQsaC0Yi3E7Zu5JLHucyCcwWtv/Ura+n1RQoPDQ11RoLiWkhpLZiJG/wDxmUHVRcKvrSu3c0O5X8PA4m1IvBDt8kZR0ZgrLSta1BjNO4Bdh5BIcGtYYmd5c7IHLoQdpFxWaXVaXS777gXlpOBu0dFgb2w3/qByCspaZXJDiG4RgBGAy7ESC7ORkDF0HXULS1VpL6rCakEgi4bAyBMXM3ngdxC3kEIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIg0aX1tXrCvVFL62r1hXoPgfkdoNGsau0eA8Foa0OAcRviexXfKnVdLRxhYDDmlwxGYIXy7dHcQDA4rZqNrvDQ95cAIGJxMDt3LTD+SYiuzPFgidX3PyVoh+raAPF+4H77uPWupUohlFwGWeQHsAWj8k2xq+iDmMf97l0tL+rd8b1m0Ya3+xv/CPaFdqr7NR/A32KnW/2N/4R7QrtVfZqP4G+xa+P7wx8vzltoiLJsIiIChausNLNJrS1uIk3EE8kXcYHRbrIVZ1m3Z1HgTgdBgzPbkg3lK03aeAG4gAXOc0y4RyTBg7zwC1m67Yd247/i0Zk+KDqoufW1mGsa4Nu5pcATHdxzvwF1Gk6yNNzWEDEQw8BynYSBxPAdBQb7mAlpIktMjoMEewnvUrlHXbS2Q25DiJPBpcPZB6eOat0jWoZUeyByMzO6A423ecO4oOgi5TtdDCS0CQN7v68B8cpiehWO1pcBrQbkRiE2IEdBk5HiEHRUrRqaxGw2rACCbSdxyPaIIHSEo6xxVRSLYcZm/X3+b4hBuouadcAXwGJA7b4hPEFpb1hYDXF2jCDLSSAbyGzluHWg6qLQp6zDnuZhgta8m4+5EwOHKsegrDyw2JwiBFw4ReTY/lI64CDpIuc7W7QQMMySLEWggX4G+R3T1LLR9ZtqGAPuF2c5GD2IN9FoU9ZtLHugcghpva5iSdw74HTZY+VheGTGfKFgASZ6eSY4yEHRRc1utsgWAGcNnWmG5cfPFuh3C+FLXII5Tb33wPOwgmd3EoOqi5rda2YS0HHSa+Ab3BJgbxZZ1tYEbPC0EVGlwl0GARHg6UG+i59PWrXNqODTDCBcxmcN+GU9UKvy00G4G+Ljc3Fnkd9+pB1EXMbrgSeS2Nxxf0h1yYjMgcbZK3SNZbN5bgJAMSD+Hd/wD0b49obyLmP1uMfJDXM5NwZuXEGOOXtWI1yLnCMIDTYyJcSPOG7Ldx4IOqi1G6cDRdUgtGTQbkncIG+TESsK+sww0xhLjUAIIyvbuksH5gg3kXNpa1nDiaAThnlAC7cWZ6N3HvWVPWR2IqFnKtIB4sx+xB0EXOfrZrZBEOBiC4cSJ6uT4qKmtcLGvhsF5bGK8YC4dpjLpQdJFpU9YhzXFrDIeGQTFyYvw6VV5YaRIYTacxIABJnh5pjjZB0kWjpGshTJ5BgQJNrniImN8qmprtjWlxbAwzBcJym43Wy4oOoi5vlYAOxNyL4wmfNub9StqacTQFSmBiLmtjPNwbxHGRcIN1FzX6zIIbhGIOAd3GeSCYytcyFHlpstGAnEQAQQReN/W5jet3Qg6aLmeWAKYeWWIkXAmASerKwXTQEREGjS+tq9YV616P1tXrC2EHnWrKNMsO0k8kRGYt7V0quzq6GZAmiIY4CLWsfjNfPUtLDQLkEALN2n4hBcYWE4L/AJif2/16oxfiye/73fVaDtTquk2iXh7nvbyRnL3Zn7o6V0tBq1n6ITXBDpIk2JE7xFlj8lTOgUj01P73Lo6X9W743rd5WGt/sb/wj2hXaq+zUfwN9ip1v9jf+Ee0K7VX2aj+BvsWvj+8MfL85baIiybChSoQU6RpTaeHFPKMCAT8Zo3TKZmHizcR6omfEd4WVWi15bizaZFyLj2qunoFJuItbGIQYJyiONsggl2m0xm6LTkeMZcZIt0qaemU3EBrwScvjsJ6YVTNWUWkEMgjLlO4g8eICzZoFJrw8NhwsDJ4R7EEnTacxive0GbRu7R3hQdPpBodjGE3B6Ime66wOraQDsILSd+I8QePFo7lDNV0g0CHHk4budlhwm0wJHBBYdOpc8dxzmI65tGaUNKpOcQw3JnI3sLz1R3dCjyfSxYsHKmZk54sU58f8ZKaeg0mua4NMty5TrWw5TwQZN0umXYQ68kRfdH+R3hYP02niwF178bbs+3PoKinq2i0ghpkHEOU7OImJ6EGraOIuwmSZPLdeTJkTETuyQKWl0A3kuaAIEDqtbqFuiFnW0tjKe0Jlp4Cd0/ssPJtGIwTYi7nHOBx4NEcNyz+ZswYCCW8MRtaM/jMoIoV6VmsI3wL8TOe+QenNQzWFItDsUAibjK2K/C11kzQ6bX7QNh17yd5JNu0qt2rKJiWGwjznZQG8eACCDpNAvdMSRBJG42j/wBb9V8ln8/pD7wj/H/F1DtXUS7EWkmZ852dzYTbMrL5jStychGZyjDx4IMvndOHHEOTAPaYHXeywbp9MuDcUEkgTvg4fbHeFDNXsAeDiIfEiTYAyAOAuVHk2lia4AjCDbEYMkOvxuEFztIaC4Xlgk2MR1myg6XTwF+LkgwTBUnRmnHOI4xDgXOjKLCYHYq3aupFjmFvJc7ERidcxEzPBBkdNpD74+9/659g4o/TaQdhLxPb0j9j3HgsDq2iZJaTJJMudme1S3QKQEYSc83OJvO8n+t3egh+mUXDDixYjhgTvgd3KF+lWUtKpuOFpvJERHmkg+w9yrZq6k2MLSIM2c7dBEibxAsrGaHTa7GAZknMxJmTGU3PegwOmUXDz2kSO/MR3SOxS3T6RxcoDCQL9ImywZqyi0ABkATHKNpjK/8ASOrcpOraO9k55k7wATnnDRf/ACUGb9MptDSXWcCQerO2f/Ss2zcQbNyJCrOhU4aMNmggXORsVPzRm0FSOWBAMnLqy3oMPn1FzfPBaQZ4RE36I71LdNpThDrjdB3T/g9x4FYnV1KIwmIiMTrgDCJveAFlU0Ck7NsyZzP9XT/W7vQQdPphrnzyWmOvkh1uw+BUt06kfvAGY7fgjvHFR5PpYMGE4ZnznTOHDnM5WQ6uomORkZFznbw5It0IA1hSmMW4HI75iOJMZDo4rNumUzMPBgSTuiJmeojvCw8n0uDjlcvdNpIvO6Ssm6HTAgNtBbmciAD/AGhBXU1nSaJxSL+bfIEnwBVrtLpgAl2cxYzYwbdZA6zCrbq2iBAZAmczwjjwWdTQqbhDmyL7z95wcfEAoIOn0s8Yi17xcTn1CehH6fSAJxZSbAnLP9u9Vu1VSJBgjKeU64ALQDfKCVkNW0RMNImZhzhnmM8rZILHaWwOwkwbG4O/L2exVfOqLajx5rh5xIIFhOasqaHTc4OIMwB5zsheDe/7pU0Km7FibOPzrm9o7EEnS6YaHYrGY7DB7ZICw+f0pjF8Zdt7W4FHaAwim2IawkgSbkgi5/MT1xwUN1bREwyJM2c4XmbXsgsZplM4eV5zWuA6HZT1/sVgdPpzAJOdwCQIjx5Qt0qXaBSOHknkNDW8p1gMt+fTmo8nUsOHCY/E7o3zP3W9yCKmk0HABzmkSOr/AKzW0tUatow0YTDYgYnWjt7+O9bLGwAJJjec0EoiINGl9bV6wr1RS+tq9YV6Dy3VWiio/lDfH7kxvXR03U7Doz67CBgkxhiYzyPSuHo2lOpGQt/TtfPrURRAwt+8S4uc7fnuE7lljia/56319d1wfkxxM4ZrK+1+SJ//AB1H8/8Ae5dPS/q3fG9cv5Ify6j+f+9y6ml/Vu+N61Rhrf7G/wDCPaFdqr7NR/A32KnW/wBjf+Ee0K7VX2aj+BvsWvj+8MfL85baIiybCIoQV1aZJaQ6InxVeg6O6kzC5+PpPx29pWwpQEREBERAREQEREBERAREQEREBERARFru0oCu2iWulzS4Oi1jBBPFBsIi1tPY91Mtp75B6iCLT0x2Sg2FK1NGYS9znTDQ1rQeI84jrkD8q2TUaDBInhKDJFCxpVQ9oc3IoM0REBERAREQEREBERAREQEREBERAREQFClEEIpRBoUvravWFeqKX1tXrCvQebag1ONIcQ5sncCYERMrb118n20KTnYMBbkQ6QbTC5eqNaHRibuBNwW58Fsay186tTc2XuLudkF6cE4P09a6fbYYoxZtL4fYfJD+XUPz/wB7l1NL+rd8b1y/kh/LqH5/73LqaX9W743rzN2Gt/sb/wAI9oV2qvs1H8DfYqdb/Y3/AIR7QrtVfZqP4G+xa+P7wx8vzltoihZNkoiIIUrX0wvDW4CQcTQYANiYOa1jp1TZh4pGcUFoBuMGLeBvt2FB0UXNOmVjSe4MhwIgQTYgd9yVZS0yoarabqRAvLhlvy7h6yDeRcrylVaxpdRLnReAea08LXce5TV1hVa4jYl0WgTne8kZGBEc4IOoi5ztNq4gBSzBO+N0TbPNKesXOFX+HdgaQJM3c5t7f0z29qDoouW3WNTE0GmeUAQCCDnkLZ33x2LZqaQ5rqlpDGSGwRJzziPjrQbaLmN1lUIkUpEkWxXILha2/CO/vzo6dUeKk0izDlne8WtxDuyDvQdBFz3afUFEvNI4gRDRJmWh3Dpjr7lNbT3NeWtZiENve07zbIR1oN9QuYdYVTlSLbtzBIgtJM2UjWNWG/wXE8kE9JE8OrtQdJSuZpOnVW1XNbTkNa85G5ABF4sDJFpy7FkNPqYi3ZEQ6ATMG8bgevtQdFRC5lLWFUhs0pJA4gXm+WVuu4VlfTqjRTiiXF2cTYzF7cS3sk7kHQWlrLSBTbP3oJEkgWz3qv59UNJz9i4FpMNOZ5M9O+yxOm1cRBpAgTuNodhnK439QKDOlULq5a0tLGkhxvmPutvcjeYgZZzG0/RWOeHkHEI+8d3RMLnDT3h4Jo4W4XTDXTMAjdvJI+IVw1hUxNGxN3Qc7Xi8jhe27vQbpoMLsWEYuMXShSDGBoJIG85rRqaZVa+p/DxNbkADORPbkO9Zv06oBTiiSXzN7C4AnrmexBvouY7WFUhuGk4SW2IMwXZkRa3aJUHWFTFamcPJizt84ibZCAg6iLQpabUIcTRNmFwAmSQGmLjfigdXdW3Wb5bipRJjflN3C0RA4/5QdJSuU/WVQ+bSI5M3DubMZZyQrW6fULgNlYmCeVa7RwzGInhye4Ogi5ztYPFRzRSdAc0TBuDIJy3QO8LoIJREQEREBERAREQEREBERAREQaFL62r1hXqil9bV6wr0HkWj6KahN4jx6B0qaujYQTiy3QppVYBkk5dwUVtKaWkAGSoPQvkh/LqH5/73LqaX9W743rlfI7+W0Pz/AN7l1dL+rd8b1Rhrf7G/8I9oV2qvs1H8DfYqdb/Y3/hHtCu1V9mo/gb7Fr4/vDHy/OW2iIsmwiIghERARSiCEUoghQ1gEwAJuY3rJEEQiIghrQBAAAG4KUUoISEUoIRSoQEUoghFKhARa1Nr8VU8q/m4sMW4RfvWWjirDsZbP3YuO2wQXrWdpY2opjpDjwOEO9hUVhWhoGFxxNJIGGGggkRNye72GNIwlxacJcWk2acWERaQZ3i3Sgu0SqalNryMOISBvAOU9KtWvo1faNdhIOElvmkCRnnnwt0jcmjiqMW0g8A0z+wQbKhUaHjDYqCHS42Mi5kDjkY7Ny2EEJClEEIpUICIpQFClEBERAREQEREBERAREQFBKlUab9TV/A72INaif4tXrC2Fo6ty/Kz+1byDxzEolS5RC5HpXyQ/l1D8/8Ae5dTS/q3fG9cv5Ify6j+f+9y6ml/Vu+N66GGt/sb/wAI9oV2qvs1H8DfYqdb/Y3/AIR7QrtVfZqP4G+xa+P7wx8vzltoiLJsIiIKdIr4ADhc6SBaMzYZkLGnptJwEPFzAE3nh4jvCtqUw4AHcQe0GQqDq+lia7DdkRfKIj2DuQTV0+kwwXiQYIF4zz7j3LIaZSty23iL8cvaO8LA6BTJmDMzmc7k+LiVDNXUmvxhsOmZn44DuQWO0ymDhLxMx2xP7FKemU3GA8EzHXYG3YQsH6vpuLiQZcZNzwI/dY0tW0mua4Nu2IkkxAAHsCC06XTGb296xdp9ICcYjr3cfjgVhU1bSdm0+cXZnMkE+wePFKmraTnYiDPEOI3R+6C1ml03GA4TMDpsDbvCsbUaSQCDGfQtdmrqQcHhvKBmSd/FY19AxF0OLQ/FiubkgAWyyEINh2kMD8BcA4xA4z/0sH6dSa7CXtBmM8jBN+49ymrojHvD3A4hEXO649qrfq6k4kkG5J8475nsOI9/Ugy+fUonGIib2tvN1Pz2l/uN459Me1VO1XSJJIMkEeccjFvALJ2rqRcXYeUTMzeZxT3oLG6XTLA/GA0gOkncd6j57SmC9o6z0A/uFi7QKZDRyoaIHKOXTxWJ1ZSwFsGCINz0f4CDN2n0g1rsYLXGARe4MHuKzbpVMzD22GI33RM9xHeqqegtDGtcS4tcXzJzLsXdKmnq+k3EWtguGEmTlEZ9gQZO02kBJe0WBz4kD2kDtCyp6VTcQGvacWUHP4hUt1ZSBBAMjK54g90tFlkzV9Jrw8N5QAAM8BA9p70GR0ykPvt37+ET7R3hDp1INDjUbhORm3FVeTKYktlrjeZJvIP/AMjuUM1XTDQDiMNw3cebhPeEFx02lE7Rvf0x7bLU2VKq52Cu4F0jkkTDsJOExNw0X6THRZ80oBxfFw6+c4sWP2+CtpaBTa5rgDLcrm1sPsQNGqUmgU2vaYsAIERFgBwBHeFtLTp6tpNcHAGQcWZzgCfALcQFClQgKVClBCKVCApUKUBERAREQEREBERAREQEREBYuaCCCJBsQskQc+g0CpVAEAEABbCopfW1esK9B44VClxuoXI9K+SH8uofn/vcuppf1bvjeuX8kP5dQ/P/AHuXU0v6t3xvXQw1v9jf+Ee0K7VX2aj+BvsVOt/sb/wj2hXaq+zUfwN9i18f3hj5fnLbREWTYREQEREBERAREQEREBERAREQQpREBERAREQQtelpjHAEmCT5pzzwiRuvbrWwRKo+aMx4o3NAGQGEkggdZQRU06m2oKZcMRi0jfkpqVxj2U3LC4kZi4A9p7lesdm2ZgTxi/xYINCjojGObaQ12PzT52HAIEWAatrStNp0oxmJmLjd1rX0dtfEC7khxBcLGOTeL8bdi6CCmrpAaWDe8wB+6qdp7A4i9sU24EDsF8z1rZdTaTJAJ6R2+0BVVtFY8EFovvAE5z+yCjym0kANdJwxIjPDn/5G+KtbpgLgMJgvLATvIBNvVKzbotMCMA64vu39g7gsxSaDIaBcm3E5nrQZoiIIREQFKhEEoiICIiAiIgIiICIiAiIgIiINCl9bV6wr1RS+tq9YV6Dx7CFEhCVjC5HpfyR/l1D8/wDe5dPS/q3fG9cv5Ify6h+f+9y6ml/Vu+N66gbDqTalPC8S0gSFnSphjQ1ohoEAdCU/NHUFml9kruIiIoiIgwq1WsALnBoJgSQL8EFRtuULkgXzIzHge5amtNANdoAeGETeCcxG4jjvkcQVp1dRPc6dubF5BwmRiLredEcu9t2Y3B2lC5lbVLnMpt2zgWUyyb3JLTJE5Q0iODjdUt1G4EOFd8jDflbsA539Dv8AyHtDsOcBmQJtdY1azGCXua0ZS4gLjD5PuLC12kOmGgOAIww5zjAJOeIDsXTdoxLMJI89rrA7nB0QSeCDYa4ESCCOIUki3TkuadVHECKhAxYiAMziLpzzvErOvq0vc4l+ZJFjIOEgXndMiy6qNxvzeN6LmHVbv93KbFpgzF3XubTNrwrG6ucGPbtJxODri1jMETecilRuN01G3uLWN9+ayXOfqoGm1hdMOxFxFzLS0nPO+azoauLKjnbQkFpAbe05AXyHBKjcb0iY3oSLdOS5DtVVBgAqAwRNiIAdMgA5xI7TxWx5O/hhmMwHA77jDhIz3mT2pUbjeLgMyLqVoVdWB2zkghgIuNxII39Cinq1wbVBrEl8XIygze9846glRuOiscYiZEcZXNOqnRG2O6LG1oJF85gjgQodqlxttBAmBhyJAE5/0261aw7jqIue3VhDg41JgyLHnAyb5kAgnpVWl6re7altW7pIBBiYIEkHdIg7oUqNx1UDgcjK5tTVj3ETVEA5YTlI6c4kdqhmqSMINSwiRBuMUlufm9H/AElRuOmoxDORnHbktGpq3E1gL/NZhmOjPPq7lSdVvNU4nBzJm8yeU1wbnlyT39KREbjqgoue3VpFNjBUu1+Muw58Zvn0qkamfhA27snCYO8ROedpPGUrDuOsi0Bq2GVGh8B/QYHLLspvYhvUOFlW7VLiCDVm2cEGYIBN90iOEdqVG46aAi/RmuW/VBJd/FcAbAAHkjFMC+USO1S3VJDT/Flx85xbnlMif6T3q1h3HTBUF44i375LnHVjtiKYqQ4OxF+HMxEm+c3noUHVJxA44HJmxkwZIJnI8OgJWHcdNCQM7LlHVDsLQKuGA4WbxBFr2zHcFb8wcW1WkgBz2lgNwGtIdBE7zi7COClRuOhKjGOI4Z71z6WrXBzC6oHBhkAtOcAG89Fuves/J5w1AHwXuxSAQe8GUqNxvJK0PJxLaYNS7JuBH3g6w3QGkdqy0PQTScXYgZAB5JyE5XMXM9cpUbjca8HIg9RUyJib8PjqXPGrIp1GB4Be4EnDwi0TfJKurS6DtIcGNbMZwHA79+OexKjcdAkDOyEgCTYBcsaoMAGrJBBu05DDECbEYT6xSnqghpBqkmIBg2sQTnvmVaw7jqJK5nk17XU8LpAILpncWkkdJwnvUu1WS8uL5BdijDuxAkTO+AOruUqNx0lK5LdUPAA2xPnXIN5aBxztJjNdHRqZYxrSZIETEeCTER0kWoiLkaFL62r1hXqil9bV6wr0HjiLINJUEGVyPSPkh/LqH5/73LqaX9W743rl/JD+XUPz/wB7l1NL+rd8b1Rt0/NHUFmsKfmjqCzVBERAREQa2lvqjDs2h0mHdAznwI7QtNtbSy2SwSN0Z2d0/ht0rc0vTG0sOIOOIxyRMcSeha7NcUyHEhwAjPDkQCDnwIXcXXQUNqaWZ5F5kAwBaN85HlWW5RrVNi41GOLwCYbYnOAJOdv+lQzXDSYFN/AThBJxFpGcC43qxms2uY97WOIa3EJgYh0XtlvhWYnYY6MyqKbicRe5zbEmGiRZs3gCbnMz0BY1DpRojdUm5AGRZOU7nGOxWHWjNmakOwtImYyImRHRuzUN1mHNc4U3WLBBgHlOwnuTXrQilU0jaAObycRBMbhkc7cVjUr6SCMLJ5RmwsJA517Endl2LLRtbNeWNLHhzgJsCGy0OEkHfP8A0nlZogOY4HFFoNsWEOzylKnYRo9fSMTdowBkXgXmSB+yw0vSdJbUhjOSTDThnJpPEZkBS7XLQR/DfBBP3ZnkmIB4OWflZswGPN4Hm3l2ARfiDnCtT1oVM0jSiRDAW4rkiPvRAvlF5/6RtfS8LiWCRECM5z39Q+JWxS1ox7XODXwGY91xwAnPrVPlpoLpY6BGWGYwYyTJ3QbCU12RdUdXFXkgYJEyN3IHG1i89nfQ52lBzy3lCSACBlLzIvwwLYrayaypgwvJ4iI+7OZnJ4VQ1zTxNaWvBcQBYb8rg9XrBSInYTWr18NNoaMbmOLhwIHXvmO1UvqaYQTgAs4Wg7rQCRN7dRV9XWzGOcCx9iR92+ES6L2gcY6FhU1w0TDHWxTMDzRM55JrsLK1SuDDW2ht4B4ScxfOyoq1NLwmGgEg5AckwYGe8xdX09aMc8MDXyTEwIB4EzxkdYKO1qwG7XZnm5Ahs58SOnoTXZVAfpQmGzwmDHJyz52/pV+PSAx5wtL7YRHEwRnuEFY+V2SAWPaTGeHecrHOLrEa6ZIGzqXDTkJElwMibRh8UqdkVg6W4tJ5E5gAEC7enhiW02tW2lIFkMLRjPAwZ38QB291Plgcn+G8AiTMTGEOsATNirK2tabAwkOh4JbAFx375HrBJiZ7KpdX0sAchptJtG4GM/xdw7a2aVpLwMLeSSeVhAMBxvE8AO/u2KGtMb8OzcBYYpG8AiRPTCx8rgF2Km8AOLREGTiLYzzMK67IxZV0uGjA22EEnfIk7+mOsFZaVXrte6G/wwRBjdhMnO94/wCFZW1qxjWuwvIc0OsBYEEiQSL2OSrq66pMPLD23ieTxIO/dhceppUiJ2DRa2kvBJAALCWy2IMNwzfeS/u78aNfSy5mKm0Au5XQLHjwJHW1XaPrLHUwGm5smASRnyrG/wDQVlo+sBUqNa1pALXOkxuwxYHeHprsqqpU0oOs1pBdwyEuA38A09vdgyrpRw4mBvLbOEbpbN5y86+/27uiaSKrS4EEYiAeIG//AJ3q9S67DRoPr7WHDkYnXIGUui8/gGW8rWFXTOSMEwBJMCThvv4kx1DLNddFIxehzsekupPluF2JuHDGUic+jepoP0naNa9rSyLui5sem18PeezoImb0OXUqaWASGtJgkCIvDSJvfNw7Fk+tpIBAZJkw6BESRxzy+LLpImb0NCtV0iWYWCC1pd0GeVefjp3V6DpNeoQSBgkDzYmxnfuIHeumiZtKoc+m7SOWCAOS7Da4MDDeeJd3KsVNLEQ0Ok7xcDE62fDD3rqImb0OfWq6SKjwxjSwRh6ZgTnuJJPQ3vrNXSg4EskAOkADO0b7339a6iJm9DlsqaUDds8o5gZYrDOwwnPoC3dDNTD/ABYxTmBE2ByvvJHYr0UmbEoiKAiIg0KX1tXrCvVFL62r1hXoPGpUSVkGqS3ohcj0n5H/AMuofn/vcuppf1bvjeuX8j/5dQ/P/e5dTS/q3fG9dDbp+aOoLNYU/NHUFmgIiglBKLA1BxUhwKA5gMSAYMiRkeKrbotMEkMbJM5DPI+xTUqhtyQB0qDWEgSJMwOMZoJ+bsiMDYiIwjLgsjTbcYRfO2ajHussX1g0SSLfugzFNosGjOct/FQKLQIDWxAEQMhkmIpiKCRSbIOESMjGW79lDqLDm1p6wFiyuHAEEQUFYEkSJFygydQYZljTIANhkMlOzbzR3dqwZWDgC0gggHsOSPrBvnECbXQGaLTa5zg0S4AHpA3RwQ6NTMSxvJMi2UCAj64aWgkAuMDpOf7IawBguEkExvgZlWxPzZm02mHlxE9CyFJoiGgRlbtWIf0hYiuC4tBGIXIUsZDR2X5DeUZNsyp2LOa298godVgSSAFidIFuULkgdMZ+xXVFmzbIOESJgxlOajYs5rc5yGeU9arGlNjFibEEz0DM9V1mKk7woqdi2ZwieMD43IKDBHIbbKwtv/cqG1ZmCLWPdP7hTiKCH6OwiC0ZRaxgiLEXCy2bYAgWytl8QFGIpiKCRSaMmjuUGi0yMLYMzYXnNMRTEUGL9GY5zXFoJbIHAT0ZLI0m35Lb3Nhe0exMRTEUsSGNmYE5zCCm0ZNAz3cc1GIpiKCWsAyAHZ8cAslhiKYigzRYYimIoM0WGIpiKDNFhiKYigzRYYimIoM0WGIpiKDNFhiKYigzRYYimIoM0WGIpiKDNFhiKzBsg0aX1tXrCvVFL62r1hXoPHQDwUEHes6TS7FBHJaXGSBYZxOZ6M1nX0V1OS4sMODeS9rrkYt26N+U2XKvQ/kh/LqH5/73LqaX9W743rl/JD+XUPz/AN7l1NL+rd8b10jbp+aOoLNUU67MI5bchvCy+cM57e8ILVi4SCOIWHzhnPb3hPnDOe3vCAaUzJ3Rl3qRT/bwUfOGc9veE+cM57e8INbT6THYS92GHCMrmRa++wyuqaGj0qZYGvBdJwglt4aGkf8AqJKt0sUqhaTUiD90i+RgzPAKujRpU4w1LtM3Lb8kNAmMoaOmyC11MbUPkB+GMOLMXz7zuVbtCBdUe50F4i0Ws0ZkX8xZ4ml4qYxIEBuIYb5nKZ/wpqPp1AWPcNxMOt32QXtJ3xHEHNU0qTKRgWNQntME+wFTipkBuIQ2PvRllfelVzHFp2gBa7EII4EewlVWpX0WkQC6tyWh5iRkcU23xJ7liNAotwjaRYEeb90kz1XPQnk2hDgarjiEElzZyjgszolISdq7eTBbckkk2HSbZdCiLNG0EUiHMcXQwMAJAEAATYf0jvK2CGVLHC4tIkZ4TmFXozmMY1gc3C1oAJcJgCBIgLJtWk3EQWgm5jMx7VYIRip1SHNIdsnnqnCQRP5t3BVODK0PxtEse0FrgZa6JIPRCtY9rLNc0guJMu4mT7VrP0Ok4NBquhrS0DE3Igt4Zw7wGagspaI2lyw4uwg2PSbmwJ6FbRBM1GkOFQAidwi0GJjM9pVTsGA0tpZ0y4ETcyZtAmSFaKo83aC0cqRJ7Ii/QgwrMZUcAX8prhYQYnd/6m+eaxomlLeWHHG8NtvN3DsnNG0aYcSKubgc27iTGWXKPSs6T6Ugh/mlxvbzjJz611blWWUsLW4uSaTmDkm4zkGImGlHauDnY9o6YAERGbTYfkHeehG02NwxWu1mBo5JHXx3Cb7grqdem1rWh1g23UB7Vy6Z0KGCbzZo7GiFaqvnLOcPj/pSNIYfvN70FiLDbM57e8Jtmc9veEGaLDbM57e8Jtmc9veEGaLDbM57e8KNuznt7wgsRV7dnPb3hNuznt7wgsRV7dnPb3hNuznt7wgsRV7dnPb3hNuznt7wgsRYbZnOb3hRt2c5veEFiKvbs57e8Jt2c9veEFiLDbM57e8KNuznt7wgsRYbZnPb3hNsznt7wgzRYbZnPb3hRt2c9veEFiKvbs57e8Jt2c9veEFiKvbM57e8Jt2c9veEFizbkFRt2c9veFm2uyPPb3hBrUvravWFetegQalUi4kLYQeP6M8N2mIxipuaOSHSTEC/m/iFwtnTK7Xh2F0zUDh/Cay2ACbZXthy35rh/OH8fAJ85fzvYoPWfkh/LqH5/wC9y6WmVsDRycQJgj/jevJtD+VGm0KbaVKthY2YGBhzMm5E5lX/AEz1j6R+nT91UekO0lgtsTMwLC9pVlF7HtJ2YbysMuFuvqXmf0z1j6R+nT91D8s9Y+kfp0/dQekV3Bri0BhjfC2aFNr2glgHYvLPpfp/+8P/ABU/dWX0z1j6R+nT91B6hWpgFobTBBN7dI7rEnsjeuN8odYP0d4FJtLzA6HNkmSQYuMoXxH0z1j6R+nT91YO+V+nuzrA9dKkf/lB6hQaHUqLsDSXhpdbi2THaqNZ1dkWBtNt95Ez0C4v39S84Hyy1j6R+nT91T9M9Y+kfp0/dQeqCi2JwCYyWrQLi4B1IRvOAjd275ErzX6Z6x9I/Tp+6n0z1j6R+nT91B6O6o8OP+mkDoMm/H/tbWkUmtaS1gJkWjpE5XyleXfTPWPpH6dP3U+mesfSP06fuoPSQ82nRwJPSY64Cl1QYGkUJcc2b29a81+mesfSP06fup9M9Y+kfp0/dQemsEziohsOaOIMugx8cFQ6o8E/6eQOAN72+L9i85+mesfSP06fup9M9Y+kfp0/dQeq/N2c0dybBnNHcvKvpnrH0j9On7qfTPWPpH6dP3UHquwZzR3JsGc0dy8q+mesfSP06fup9M9Y+kfp0/dQeq7BnNHctOo5zXOGwxCQBDSO8rzb6Z6x9I/Tp+6n0z1j6R+nT91B6PUr4RJ0cRunjuGXZ1q2oYdAoA3Im/Zuj442Xmf0z1j6R+nT91PpnrH0j9On7qD0fbO9GuACQJOYmMvjgm1dH2aD2x0bl5x9M9Y+kfp0/dT6Z6x9I/Tp+6g9V+bs5o7k+bs5o7l5V9M9Y+kfp0/dT6Z6x9I/Tp+6g9V+bs5o7k+bs5o7l5V9M9Y+kfp0/dT6Z6x9I/Tp+6g9V+bs5o7lo43hxB0cEAkWBE3MR2R28F5x9M9Y+kfp0/dT6Z6x9I/Tp+6g9L0Ylxh1DDneDBuYzHDj/hYY3AfUYjb7pb1jfl47t683+mesfSP06fup9M9Y+kfp0/dQekue4T/ppgxYm/TlksqZLntBoBoJMm+UGN1rgd+9eafTPWPpH6dP3U+mesfSP06fuoPTtMaGMxNY3O8jKx6t8DtU6G1r2YixvQQM/gyOxeYfTPWPpH6dP3U+mesfSP06fuoPTiBiIFIHlATBFjF5iDme5HM5Lv4YxB3NJ5OKJjfa8LzH6Z6x9I/Tp+6n0z1j6R+nT91B6WyTI2IEMJkgiXbhG7xz6Cth1FuEkMExMRvheWfTPWPpH6dP3U+mesfSP06fuoPRnVS1oLqLTIzgi/CCJ6FlSc4kA0ALiTB3mJHVmvN/pnrH0j9On7qfTPWPpH6dP3UHpBc7EYoAtvG64J333RuzBTG6/wDpso7csrdPgvN/pnrH0j9On7qfTPWPpH6dP3UHpJqG/wDp4gEyZjsEXW1VotDSW0w4gWHEryz6Z6x9I/Tp+6n0z1j6R+nT91B6ZLZp8htxy7ebbInIX4qrE7EYpNLcQghpuJO/LhfJecfTPWPpH6dP3U+mesfSP06fuoPSqs4iKbGEcmDhJzMG+VgmkSAMFNjzhOIAE8qLDoE8brzX6Z6x9I/Tp+6n0z1j6R+nT91B6a0NtiYwHE4OHBomD4Nv0qt74FV2xBDYLLecN9xPAnqIzXm30z1j6R+nT91PpnrH0j9On7qD0pukPAdgoRFjnnYi0T97rzW9TcS0EiCRccF5P9M9Y+kfp0/dT6Z6x9I/Tp+6g4KIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiICIiAiIgIiIP/2Q==\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/Nu86DjtFKQk\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f66c54eecd0>"
- ]
- },
- "execution_count": 15,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"YouTubeVideo('Nu86DjtFKQk')"
]
@@ -1061,29 +795,13 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - Z - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
- ],
- "text/plain": [
- " _______\n",
- " ╱ 2 \n",
- "-Z - τ_Y + ╲╱ \\tau "
- ]
- },
- "execution_count": 16,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"Z = sp.symbols('Z')\n",
"# X = sp.symbols('X') # prepared for kinematic hardening\n",
@@ -1112,27 +830,13 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{Z} : K \\dot{z}, \\ \\dot{\\tau} : E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)\\right\\}$"
- ],
- "text/plain": [
- "{\\dot{Z}: K⋅\\dot{z}, \\dot{\\tau}: E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})}"
- ]
- },
- "execution_count": 17,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"K = sp.symbols(r'K', positive=True )\n",
"z = sp.symbols(r'z')\n",
@@ -1186,31 +890,13 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}, \\ \\dot{z} : \\lambda\\right\\}$"
- ],
- "text/plain": [
- "⎧ _______ ⎫\n",
- "⎪ ╱ 2 ⎪\n",
- "⎨ \\lambda⋅╲╱ \\tau ⎬\n",
- "⎪\\dot{s}__\\mathrm{pl}: ──────────────────, \\dot{z}: \\lambda⎪\n",
- "⎩ \\tau ⎭"
- ]
- },
- "execution_count": 18,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_s_pl_ = lambda_ * f_tau_Z_.diff(tau)\n",
"dot_z_ = - lambda_ * f_tau_Z_.diff(Z)\n",
@@ -1240,31 +926,13 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{f} : \\frac{E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right) \\sqrt{\\tau^{2}} - K \\dot{z} \\tau}{\\tau}\\right\\}$"
- ],
- "text/plain": [
- "⎧ _______ ⎫\n",
- "⎪ ╱ 2 ⎪\n",
- "⎨ E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})⋅╲╱ \\tau - K⋅\\dot{z}⋅\\tau⎬\n",
- "⎪\\dot{f}: ────────────────────────────────────────────────────────────────⎪\n",
- "⎩ \\tau ⎭"
- ]
- },
- "execution_count": 19,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_f = sp.symbols(r'\\dot{f}')\n",
"dot_f_tau_Z_ = f_tau_Z_.diff(tau) * dot_tau_ + f_tau_Z_.diff(Z) * dot_Z_ # + + f_tau_Z_.diff(X) * dot_X_ \n",
@@ -1285,31 +953,13 @@
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{f} : \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau} - E_{b} \\lambda - K \\lambda\\right\\}$"
- ],
- "text/plain": [
- "⎧ _______ ⎫\n",
- "⎪ ╱ 2 ⎪\n",
- "⎨ E_b⋅\\dot{s}⋅╲╱ \\tau ⎬\n",
- "⎪\\dot{f}: ────────────────────── - E_b⋅\\lambda - K⋅\\lambda⎪\n",
- "⎩ \\tau ⎭"
- ]
- },
- "execution_count": 20,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_f_lambda_ = dot_f_tau_Z_.subs(dot_s_pl, dot_s_pl_).subs(dot_z, dot_z_) # .subs(dot_alpha, dot_alpha_)\n",
"{dot_f : sp.simplify(dot_f_lambda_)}"
@@ -1328,31 +978,13 @@
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau \\left(E_{b} + K\\right)}$"
- ],
- "text/plain": [
- " _______\n",
- " ╱ 2 \n",
- "E_b⋅\\dot{s}⋅╲╱ \\tau \n",
- "──────────────────────\n",
- " \\tau⋅(E_b + K) "
- ]
- },
- "execution_count": 21,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"lambda_solved = sp.solve(dot_f_lambda_, lambda_)[0] # the solution is returned as a list with one entry, therefore [0] \n",
"sp.simplify(lambda_solved) "
@@ -1379,31 +1011,13 @@
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\frac{E_{b} \\dot{s}}{E_{b} + K}, \\ \\dot{z} : \\frac{E_{b} \\dot{s} \\sqrt{\\tau^{2}}}{\\tau \\left(E_{b} + K\\right)}\\right\\}$"
- ],
- "text/plain": [
- "⎧ _______⎫\n",
- "⎪ ╱ 2 ⎪\n",
- "⎨ E_b⋅\\dot{s} E_b⋅\\dot{s}⋅╲╱ \\tau ⎬\n",
- "⎪\\dot{s}__\\mathrm{pl}: ───────────, \\dot{z}: ──────────────────────⎪\n",
- "⎩ E_b + K \\tau⋅(E_b + K) ⎭"
- ]
- },
- "execution_count": 22,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_s_pl_solved = dot_s_pl_.subs(lambda_, lambda_solved)\n",
"dot_z_solved = dot_z_.subs(lambda_, lambda_solved)\n",
@@ -1423,25 +1037,9 @@
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{\\tau} : \\frac{E_{b} K \\dot{s}}{E_{b} + K}\\right\\}$"
- ],
- "text/plain": [
- "⎧ E_b⋅K⋅\\dot{s}⎫\n",
- "⎨\\dot{\\tau}: ─────────────⎬\n",
- "⎩ E_b + K ⎭"
- ]
- },
- "execution_count": 23,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_tau_solved = dot_tau_.subs(dot_s_pl, dot_s_pl_solved)\n",
"{dot_tau: sp.simplify(dot_tau_solved)}"
@@ -1483,33 +1081,9 @@
},
{
"cell_type": "code",
- "execution_count": 24,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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\n",
- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/hfP8hcqWfbg\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7f68f152dc70>"
- ]
- },
- "execution_count": 24,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"YouTubeVideo('hfP8hcqWfbg')"
]
@@ -1809,21 +1383,9 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "array([0. , 0.37674922, 0.74753308, 1.10648066, 1.44790846,\n",
- " 1.76641039, 2.05694336, 2.31490712, 2.53621714, 2.71736924])"
- ]
- },
- "execution_count": 25,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"import numpy as np\n",
"n_cycles, s_max, n_steps = 10, 3, 500 # load history parameters\n",
@@ -1835,20 +1397,9 @@
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[<matplotlib.lines.Line2D at 0x7f68f14f1820>]"
- ]
- },
- "execution_count": 26,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(10,3))\n",
"ax.plot(t_arr, s_n1_arr)"
@@ -1878,7 +1429,7 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
@@ -1913,35 +1464,9 @@
},
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "4b9eb26198744dca8b8b993ab664fe7e",
- "version_major": 2,
- "version_minor": 0
- },
- "image/png": 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",
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' width=1000.0/>\n",
- " </div>\n",
- " "
- ],
- "text/plain": [
- "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"fig, (ax_t, ax_tau) = plt.subplots(1,2,figsize=(10,5))\n",
@@ -2080,8 +1605,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour4_plastic_bond/4_2a_BS_EP_SH_K_A.ipynb b/tour4_plastic_bond/4_2a_BS_EP_SH_K_A.ipynb
index 99e0c0c..202657c 100644
--- a/tour4_plastic_bond/4_2a_BS_EP_SH_K_A.ipynb
+++ b/tour4_plastic_bond/4_2a_BS_EP_SH_K_A.ipynb
@@ -67,31 +67,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "839c36de90c74b668f43257cb99c8ead",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from plastic_app.bs_model_explorer import BSModelExplorer\n",
@@ -111,31 +89,9 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Warning: Update progress bar from model - not implemented yet\n"
- ]
- },
- {
- "data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "33d8b104943f4cdeb72642ac55a5c75b",
- "version_major": 2,
- "version_minor": 0
- },
- "text/plain": [
- "VBox(children=(HBox(children=(VBox(children=(Tree(layout=Layout(align_items='stretch', border='solid 1px black…"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
"bs.s_1 = 3 # load to 3 mm\n",
"bs.run()\n",
@@ -254,7 +210,7 @@
},
{
"cell_type": "code",
- "execution_count": 3,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "skip"
@@ -330,29 +286,13 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - \\tau_{Y} + \\sqrt{\\tau^{2}}$"
- ],
- "text/plain": [
- " _______\n",
- " ╱ 2 \n",
- "-τ_Y + ╲╱ \\tau "
- ]
- },
- "execution_count": 4,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"tau = sp.symbols(r'\\tau')\n",
"tau_Y = sp.symbols(r'tau_Y', real=True, nonnegative=True)\n",
@@ -386,27 +326,13 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle E_{b} \\left(s - s_{pl}\\right)$"
- ],
- "text/plain": [
- "E_b⋅(s - sₚₗ)"
- ]
- },
- "execution_count": 5,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"s, s_pl = sp.symbols('s, s_pl') # total slip and plastic slip\n",
"E_b = sp.symbols('E_b', positive=True) # E modulus\n",
@@ -487,31 +413,13 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{\\lambda \\sqrt{\\tau^{2}}}{\\tau}$"
- ],
- "text/plain": [
- " _______\n",
- " ╱ 2 \n",
- "\\lambda⋅╲╱ \\tau \n",
- "──────────────────\n",
- " \\tau "
- ]
- },
- "execution_count": 6,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"lambda_ = sp.symbols(r'\\lambda', nonnegative=True)\n",
"dot_s_pl_ = lambda_ * f_tau_.diff(tau)\n",
@@ -617,27 +525,13 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)$"
- ],
- "text/plain": [
- "E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})"
- ]
- },
- "execution_count": 7,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_tau = sp.Symbol(r'\\dot{\\tau}') # will be used later just to display the derived expressions next to this symbol\n",
"dot_s, dot_s_pl = sp.symbols(r'\\dot{s}, \\dot{s}^\\mathrm{pl}') # control slip and plastic slip rates\n",
@@ -659,31 +553,13 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{E_{b} \\left(\\dot{s} \\sqrt{\\tau^{2}} - \\lambda \\tau\\right)}{\\tau}$"
- ],
- "text/plain": [
- " ⎛ _______ ⎞\n",
- " ⎜ ╱ 2 ⎟\n",
- "E_b⋅⎝\\dot{s}⋅╲╱ \\tau - \\lambda⋅\\tau⎠\n",
- "───────────────────────────────────────\n",
- " \\tau "
- ]
- },
- "execution_count": 8,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_f_ = f_tau_.diff(tau) * dot_tau_.subs(dot_s_pl, dot_s_pl_)\n",
"sp.simplify(dot_f_)"
@@ -702,31 +578,13 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\frac{\\dot{s} \\tau}{\\sqrt{\\tau^{2}}}$"
- ],
- "text/plain": [
- "\\dot{s}⋅\\tau\n",
- "────────────\n",
- " _______ \n",
- " ╱ 2 \n",
- " ╲╱ \\tau "
- ]
- },
- "execution_count": 9,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"lambda_solved = sp.solve( dot_f_, lambda_)[0]\n",
"lambda_solved"
@@ -786,27 +644,13 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{s}^\\mathrm{pl} : \\dot{s}\\right\\}$"
- ],
- "text/plain": [
- "{\\dot{s}__\\mathrm{pl}: \\dot{s}}"
- ]
- },
- "execution_count": 10,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"{dot_s_pl : dot_s_pl_.subs(lambda_, lambda_solved) }"
]
@@ -847,27 +691,13 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{\\tau} : 0\\right\\}$"
- ],
- "text/plain": [
- "{\\dot{\\tau}: 0}"
- ]
- },
- "execution_count": 11,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"{dot_tau: sp.simplify(dot_tau_.subs(dot_s_pl, dot_s_pl_).subs(lambda_, lambda_solved))}"
]
@@ -915,29 +745,13 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - Z - \\tau_{Y} + \\sqrt{\\left(- X + \\tau\\right)^{2}}$"
- ],
- "text/plain": [
- " ______________\n",
- " ╱ 2 \n",
- "-Z - τ_Y + ╲╱ (-X + \\tau) "
- ]
- },
- "execution_count": 12,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"Z = sp.symbols('Z')\n",
"X = sp.symbols('X') # prepared for kinematic hardening\n",
@@ -966,28 +780,13 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{X} : \\dot{\\alpha} \\gamma, \\ \\dot{Z} : K \\dot{z}, \\ \\dot{\\tau} : E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right)\\right\\}$"
- ],
- "text/plain": [
- "{\\dot{X}: \\dot{\\alpha}⋅\\gamma, \\dot{Z}: K⋅\\dot{z}, \\dot{\\tau}: E_b⋅(\\dot{s} - \n",
- "\\dot{s}__\\mathrm{pl})}"
- ]
- },
- "execution_count": 13,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"K = sp.symbols(r'K', positive=True )\n",
"z = sp.symbols(r'z')\n",
@@ -1041,37 +840,13 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{\\alpha} : - \\frac{\\lambda \\sqrt{\\left(X - \\tau\\right)^{2}}}{X - \\tau}, \\ \\dot{s}^\\mathrm{pl} : \\frac{\\lambda \\sqrt{\\left(- X + \\tau\\right)^{2}}}{- X + \\tau}, \\ \\dot{z} : \\lambda\\right\\}$"
- ],
- "text/plain": [
- "⎧ _____________ __\n",
- "⎪ ╱ 2 ╱ \n",
- "⎨ -\\lambda⋅╲╱ (X - \\tau) \\lambda⋅╲╱ (\n",
- "⎪\\dot{\\alpha}: ──────────────────────────, \\dot{s}__\\mathrm{pl}: ─────────────\n",
- "⎩ X - \\tau -X + \n",
- "\n",
- "____________ ⎫\n",
- " 2 ⎪\n",
- "-X + \\tau) ⎬\n",
- "────────────, \\dot{z}: \\lambda⎪\n",
- "\\tau ⎭"
- ]
- },
- "execution_count": 14,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_s_pl_ = lambda_ * f_tau_Z_.diff(tau)\n",
"dot_z_ = - lambda_ * f_tau_Z_.diff(Z)\n",
@@ -1101,37 +876,13 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{f} : \\frac{- E_{b} \\left(\\dot{s} - \\dot{s}^\\mathrm{pl}\\right) \\sqrt{\\left(X - \\tau\\right)^{2}} - K \\dot{z} \\left(X - \\tau\\right) + \\dot{\\alpha} \\gamma \\sqrt{\\left(X - \\tau\\right)^{2}}}{X - \\tau}\\right\\}$"
- ],
- "text/plain": [
- "⎧ _____________ \n",
- "⎪ ╱ 2 \n",
- "⎨ - E_b⋅(\\dot{s} - \\dot{s}__\\mathrm{pl})⋅╲╱ (X - \\tau) - K⋅\\dot{z}⋅\n",
- "⎪\\dot{f}: ────────────────────────────────────────────────────────────────────\n",
- "⎩ X - \\tau \n",
- "\n",
- " _____________⎫\n",
- " ╱ 2 ⎪\n",
- "(X - \\tau) + \\dot{\\alpha}⋅\\gamma⋅╲╱ (X - \\tau) ⎬\n",
- "─────────────────────────────────────────────────⎪\n",
- " ⎭"
- ]
- },
- "execution_count": 15,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_f = sp.symbols(r'\\dot{f}')\n",
"dot_f_tau_Z_ = f_tau_Z_.diff(tau) * dot_tau_ + f_tau_Z_.diff(Z) * dot_Z_ + + f_tau_Z_.diff(X) * dot_X_ \n",
@@ -1152,41 +903,13 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{f} : \\frac{- E_{b} \\left(\\dot{s} \\left(X - \\tau\\right) + \\lambda \\sqrt{\\left(X - \\tau\\right)^{2}}\\right) \\sqrt{\\left(X - \\tau\\right)^{2}} - \\lambda \\left(K + \\gamma\\right) \\left(X - \\tau\\right)^{2}}{\\left(X - \\tau\\right)^{2}}\\right\\}$"
- ],
- "text/plain": [
- "⎧ ⎛ _____________⎞ ___________\n",
- "⎪ ⎜ ╱ 2 ⎟ ╱ \n",
- "⎪ - E_b⋅⎝\\dot{s}⋅(X - \\tau) + \\lambda⋅╲╱ (X - \\tau) ⎠⋅╲╱ (X - \\tau)\n",
- "⎨\\dot{f}: ────────────────────────────────────────────────────────────────────\n",
- "⎪ 2 \n",
- "⎪ (X - \\tau) \n",
- "⎩ \n",
- "\n",
- "__ ⎫\n",
- "2 2⎪\n",
- " - \\lambda⋅(K + \\gamma)⋅(X - \\tau) ⎪\n",
- "─────────────────────────────────────⎬\n",
- " ⎪\n",
- " ⎪\n",
- " ⎭"
- ]
- },
- "execution_count": 16,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_f_lambda_ = dot_f_tau_Z_.subs(dot_s_pl, dot_s_pl_).subs(dot_z, dot_z_).subs(dot_alpha, dot_alpha_)\n",
"{dot_f : sp.simplify(dot_f_lambda_)}"
@@ -1205,31 +928,13 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle - \\frac{E_{b} \\dot{s} \\sqrt{X^{2} - 2 X \\tau + \\tau^{2}}}{E_{b} X - E_{b} \\tau + K X - K \\tau + X \\gamma - \\gamma \\tau}$"
- ],
- "text/plain": [
- " _______________________ \n",
- " ╱ 2 2 \n",
- " -E_b⋅\\dot{s}⋅╲╱ X - 2⋅X⋅\\tau + \\tau \n",
- "────────────────────────────────────────────────────────\n",
- "E_b⋅X - E_b⋅\\tau + K⋅X - K⋅\\tau + X⋅\\gamma - \\gamma⋅\\tau"
- ]
- },
- "execution_count": 17,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"lambda_solved = sp.solve(dot_f_lambda_, lambda_)[0] # the solution is returned as a list with one entry, therefore [0] \n",
"sp.simplify(lambda_solved) "
@@ -1256,37 +961,13 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{\\alpha} : \\frac{E_{b} \\dot{s}}{E_{b} + K + \\gamma}, \\ \\dot{s}^\\mathrm{pl} : \\frac{E_{b} \\dot{s}}{E_{b} + K + \\gamma}, \\ \\dot{z} : - \\frac{E_{b} \\dot{s} \\sqrt{X^{2} - 2 X \\tau + \\tau^{2}}}{E_{b} X - E_{b} \\tau + K X - K \\tau + X \\gamma - \\gamma \\tau}\\right\\}$"
- ],
- "text/plain": [
- "⎧ \n",
- "⎪ \n",
- "⎨ E_b⋅\\dot{s} E_b⋅\\dot{s} \n",
- "⎪\\dot{\\alpha}: ────────────────, \\dot{s}__\\mathrm{pl}: ────────────────, \\dot{\n",
- "⎩ E_b + K + \\gamma E_b + K + \\gamma \n",
- "\n",
- " _______________________ ⎫\n",
- " ╱ 2 2 ⎪\n",
- " -E_b⋅\\dot{s}⋅╲╱ X - 2⋅X⋅\\tau + \\tau ⎬\n",
- "z}: ────────────────────────────────────────────────────────⎪\n",
- " E_b⋅X - E_b⋅\\tau + K⋅X - K⋅\\tau + X⋅\\gamma - \\gamma⋅\\tau⎭"
- ]
- },
- "execution_count": 18,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_s_pl_solved = dot_s_pl_.subs(lambda_, lambda_solved)\n",
"dot_z_solved = dot_z_.subs(lambda_, lambda_solved)\n",
@@ -1307,25 +988,9 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/latex": [
- "$\\displaystyle \\left\\{ \\dot{\\tau} : \\frac{E_{b} \\dot{s} \\left(K + \\gamma\\right)}{E_{b} + K + \\gamma}\\right\\}$"
- ],
- "text/plain": [
- "⎧ E_b⋅\\dot{s}⋅(K + \\gamma)⎫\n",
- "⎨\\dot{\\tau}: ────────────────────────⎬\n",
- "⎩ E_b + K + \\gamma ⎭"
- ]
- },
- "execution_count": 19,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"dot_tau_solved = dot_tau_.subs(dot_s_pl, dot_s_pl_solved)\n",
"{dot_tau: sp.simplify(dot_tau_solved)}"
@@ -1656,21 +1321,9 @@
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "array([0. , 0.37674922, 0.74753308, 1.10648066, 1.44790846,\n",
- " 1.76641039, 2.05694336, 2.31490712, 2.53621714, 2.71736924])"
- ]
- },
- "execution_count": 20,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"import numpy as np\n",
"n_cycles, s_max, n_steps = 10, 3, 500 # load history parameters\n",
@@ -1682,20 +1335,9 @@
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": null,
"metadata": {},
- "outputs": [
- {
- "data": {
- "text/plain": [
- "[<matplotlib.lines.Line2D at 0x7faef11b0820>]"
- ]
- },
- "execution_count": 21,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"fig, ax = plt.subplots(1,1, figsize=(10,3))\n",
"ax.plot(t_arr, s_n1_arr)"
@@ -1725,7 +1367,7 @@
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": null,
"metadata": {
"slideshow": {
"slide_type": "slide"
@@ -1760,7 +1402,7 @@
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": null,
"metadata": {},
"outputs": [],
"source": [
@@ -1918,8 +1560,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb b/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
index a67ba0e..45de774 100644
--- a/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
+++ b/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
@@ -23,33 +23,9 @@
},
{
"cell_type": "code",
- "execution_count": 1,
- "metadata": {},
- "outputs": [
- {
- "data": {
- "image/jpeg": 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- "text/html": [
- "\n",
- " <iframe\n",
- " width=\"400\"\n",
- " height=\"300\"\n",
- " src=\"https://www.youtube.com/embed/ItmQQ9yQDjI\"\n",
- " frameborder=\"0\"\n",
- " allowfullscreen\n",
- " \n",
- " ></iframe>\n",
- " "
- ],
- "text/plain": [
- "<IPython.lib.display.YouTubeVideo at 0x7fd2ac598a00>"
- ]
- },
- "execution_count": 1,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
"source": [
"from IPython.display import YouTubeVideo\n",
"YouTubeVideo('ItmQQ9yQDjI')"
@@ -432,8 +408,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
},
"toc": {
"base_numbering": 1,
diff --git a/tour4_plastic_bond/bs_ep_ikh.ipynb b/tour4_plastic_bond/bs_ep_ikh.ipynb
index 2611669..cb70db1 100644
--- a/tour4_plastic_bond/bs_ep_ikh.ipynb
+++ b/tour4_plastic_bond/bs_ep_ikh.ipynb
@@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": null,
"metadata": {
"tags": []
},
@@ -16,7 +16,6 @@
"cell_type": "code",
"execution_count": null,
"metadata": {
- "collapsed": false,
"jupyter": {
"outputs_hidden": false
},
@@ -35,7 +34,6 @@
"cell_type": "code",
"execution_count": null,
"metadata": {
- "collapsed": false,
"jupyter": {
"outputs_hidden": false
},
@@ -52,7 +50,6 @@
"cell_type": "code",
"execution_count": null,
"metadata": {
- "collapsed": false,
"jupyter": {
"outputs_hidden": false
},
@@ -86,8 +83,7 @@
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
- "pygments_lexer": "ipython3",
- "version": "3.9.7"
+ "pygments_lexer": "ipython3"
}
},
"nbformat": 4,
diff --git a/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb b/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb
index d260136..3da7a7d 100644
--- a/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb
+++ b/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb
@@ -23,7 +23,7 @@
"id": "c24de5b4-611f-4ff3-8730-719ae8a37250",
"metadata": {},
"source": [
- "With the coverage of bond and cracking behavior, we can now approach the simulation of a composite as a whole. The described material models can be found and used in general finite tools. It is possible to simulate the material response using 3D solid finite element models. However, in engineering practice, more specialized methods of structural analysis and design are desired which allow us to get the answers to repeating questions. A frequent application of composite materials is provided in form of a beam exposed to bending. Let us show how to utilize the models and theory explained during the previous Tours and show how to apply them to provide an efficient and general method for an assessment of a beam. "
+ "With the coverage of bond and cracking behavior, we can now approach the simulation of a composite as a whole. The described material models can be found and used in general finite-element tools. As shown in the previous tour, it is possible to simulate the nonlinear, inelastic material response using 3D or 2D finite element models. However, in engineering practice, more specialized methods of structural analysis and design are desired which allow us to deliver quick answers to repeating design questions. A frequent application of composite materials is provided in form of a beam exposed to bending. Let us show how to utilize the models and theory explained during the previous Tours and show how to apply them to provide an efficient and general method for an assessment of a reinforced beam. "
]
},
{
@@ -40,7 +40,7 @@
"id": "f3904ded-0e24-40c8-a851-678c8d4f0e87",
"metadata": {},
"source": [
- "One fundamental concept of engineering design is to decompose a complex problem into smaller subproblems that can be described managed in a more transparent way. This concept is relevant also for the description of structural behavior. The present notebook shows such a decomposition for a nonlinear structural analysis of an arbitrarily reinforced beam. It can consider steel, carbon, glass, basalt reinforcement with correspondingly defined constitutive laws. At the same time, various cross sectional shapes can be included as well."
+ "One fundamental concept of engineering design is to decompose a complex problem into smaller subproblems that can be described and managed in a more transparent way. This concept is relevant also for the description of structural behavior. The present notebook shows such a decomposition for a nonlinear structural analysis of an arbitrarily reinforced beam. It can consider steel, carbon, glass, basalt reinforcement with correspondingly defined constitutive laws. At the same time, various cross sectional shapes can be included as well."
]
},
{
@@ -116,13 +116,13 @@
"id": "99ccdcec-29ff-4ee3-8003-05fac630d527",
"metadata": {},
"source": [
- "In case of a simply supported beam, the profile of bending moment is known a-priori as it does not depend on the material behavior. In other words, there are no redistribution effects along the beam. Therefore, if we know the relation between the bending moment $M$ and the local curvature $\\kappa$ as depicted in the left figure above, we can calculate the deflection of the beam by integrating the curvature to obtain the cross sectional rotation, i.e.\n",
+ "In case of a simply supported beam, the profile of the bending moment is known a-priori. Because the structure is statically determinate, the profile of stress resultantants does not depend on the material properties and on the current state of its inelastic degradation. In other words, there are no redistribution effects along the beam. Therefore, if we are able to derive the relation between the bending moment $M$ and the local curvature $\\kappa$, qualitatively illustrated in the left figure above, we can directly calculate the profile of cross-sectional rotation along the beam by integrating the curvature, i.e.\n",
"$$\n",
- " \\varphi(x) = \\int_0^L \\kappa(x) \\, \\mathrm{d}x + C\n",
+ " \\varphi(x) = \\int_0^L \\kappa(x) \\, \\mathrm{d}x + C.\n",
"$$\n",
- "and the deflection as \n",
+ "By integrating this rotation profile along the beam again, we obtain the deflection as \n",
"$$\n",
- " w(x) = \\int_0^L \\varphi(x) \\, \\mathrm{d}x + Cx + D\n",
+ " w(x) = \\int_0^L \\varphi(x) \\, \\mathrm{d}x + Cx + D.\n",
"$$\n",
"The integration constants must be solved for particular boundary conditions."
]
@@ -132,16 +132,21 @@
"id": "eebe7455-c466-433d-8afa-64cad43b4665",
"metadata": {},
"source": [
- "Given this evaluation, we can directly construct the load-deflection curve depicted in the right diagram of the above Figure. The appealing feature of this evaluation scheme is the efficiency in comparison to a nonlinear finite-element model."
+ "Given this evaluation, we can directly construct the load-deflection curve depicted in the right diagram of the above Figure. The appealing feature of this evaluation scheme is the efficiency in comparison to a nonlinear finite-element model. But what is the price to pay for a more efficient analysis compared to general finite element simulation? Either the finite element analysis is unnecessarily general with a lot of computational effort spent on insignificant details of the calculation, or the simple integration approach is less accurate. Both answers can be true. Still for beams with predominantly flexural loading, for which a linear profile of strain along the cross-sectional height can be assumed, the sketched approach to evaluation is sufficient. "
]
},
{
- "cell_type": "code",
- "execution_count": null,
- "id": "60aab350-850a-479a-bc40-034d6e097ef1",
+ "cell_type": "markdown",
+ "id": "b37a83f8-3ac2-469d-8b04-e4e3097b4a49",
"metadata": {},
- "outputs": [],
- "source": []
+ "source": [
+ "The assumption of a linear strain profile along the beam height is the key to this simplified evaluation of the nonlinear load deflection response of reinforced beams. Based on this assumption, a direct quantification of the $M(\\kappa$) relation for any cross-sectional design becomes possible. Then, the load-deflection can be obtained in two steps \n",
+ " * quantification of the moment curvature relation by solving the equilibrium condition in the normal direction for any given curvature to obtaine $M(\\kappa)$,\n",
+ " * repeated double integration of the curvature profile coresponding to the distribution of the moment $M(x)$ along for a prescribed load as described above.\n",
+ "\n",
+ "Thus, what remains to be described is how to quantify the \n",
+ "cross-sectional constitutive law $M(\\kappa)$."
+ ]
},
{
"cell_type": "markdown",
@@ -169,7 +174,7 @@
"id": "8b6428e0-baa8-43ec-8151-a15e2b4fd8b3",
"metadata": {},
"source": [
- "To accomplish this kind of evaluation, however, we need to derive the $M-\\kappa$ relation. This relation is affected by the stress redistribution occurring within a cross section during the cracking. The crack propagation demonstrated in the notebook [7.1](../tour7_cracking/7_1_bending3pt_2d.ipynb#top) has already demonstrated the propagation of the stress peak through the cross section. While the example shown there considered a plain concrete without reinforcement, in the present notebook, we shall consider also the effect of the reinforcement."
+ "To quantify the $M(\\kappa)$ relation, given a particular cross sectional shape and reinforcement distribution, we need to simulate the stress redistribution process occurring over a cross sectional height upon an ongoing cracking. The simulation of the bending response of the notched beam demonstrated in the notebook [7.1](../tour7_cracking/7_1_bending3pt_2d.ipynb#top) has already demonstrated the propagation of the stress peak through the cross section. While the example shown there considered a 2D finite element discretization of plain concrete without reinforcement, in the present notebook, we shall consider a 1D idealization of a cross section with $z$ denoting the vertical position and, additionally, consider also the effect of the reinforcement bridging this cross section at a specified height $z_i$."
]
},
{
@@ -276,7 +281,7 @@
"id": "ef1803e1-cb5e-4e45-ae19-68e70b3140c0",
"metadata": {},
"source": [
- "# **Model implementation**"
+ "# **Summary: flexural model for a simply supported beam**"
]
},
{
@@ -308,6 +313,14 @@
""
]
},
+ {
+ "cell_type": "markdown",
+ "id": "8445a244-7ead-40bc-b693-de5f31379d95",
+ "metadata": {},
+ "source": [
+ "Note that this kind of separation of the cross-sectional response and structural response captures the stress distribution due to the nonlinear behavior over the cross-sectional height. By imposing the kinematic assumption of a linear strain profile over the cross-sectional height, the nonlinear behavior of components, including the crack propagation and debonding of between the reinforcement and matrix can be encapsulated in $M(\\kappa)$ relation."
+ ]
+ },
{
"cell_type": "code",
"execution_count": null,
@@ -327,7 +340,7 @@
"id": "e8f21d4f-6a50-4bb3-a7fa-7b59e4394102",
"metadata": {},
"source": [
- "# **Concrete beam with short fibers**"
+ "# **Concrete cross section with short fibers**"
]
},
{
@@ -371,7 +384,7 @@
"id": "b7a2647d-c066-4780-9454-fee96fcabb3b",
"metadata": {},
"source": [
- "# **Steel reinforced beam**"
+ "# **Steel reinforced cross section**"
]
},
{
@@ -419,7 +432,7 @@
"id": "78e884ee-3062-4c0f-b39c-72e8c859747e",
"metadata": {},
"source": [
- "# **Carbon reinforced beam**"
+ "# **Carbon reinforced section**"
]
},
{
@@ -467,7 +480,7 @@
"id": "2fd0c84a-7c62-4304-9ac2-e0fdab7505d0",
"metadata": {},
"source": [
- "As an example, let us construct a steel reinforced cross section and configure the cross section in such a way either the compressive yielding of concrete or tensile yielding of steel will occur."
+ "As an example, let us construct a steel reinforced cross section and configure the cross section in such a way that either the compressive yielding of concrete or tensile yielding of steel will occur."
]
},
{
@@ -477,7 +490,7 @@
"metadata": {},
"outputs": [],
"source": [
- "mk_mechanism = MKappa(high_kappa=0.0002)\n",
+ "mk_mechanism = MKappa(high_kappa=0.0005)\n",
"bl1 = BarLayer(name='rebar 1', z=20, ds=24, count=2, matmod='steel') # material model\n",
"bl1.matmod_.trait_set(E=200000, f_t=500)\n",
"mk_mechanism.cross_section_layout.add_layer(bl1)\n",
@@ -495,12 +508,6 @@
"- compare with the design code concept in EC2 evaluating the moment capacity of a reinforced cross section with the obtained peak load"
]
},
- {
- "cell_type": "markdown",
- "id": "7d9c1f3f-dc0b-4993-bd71-8f863f855e5d",
- "metadata": {},
- "source": []
- },
{
"cell_type": "markdown",
"id": "d5984a18-5d97-4ac4-9d22-e58461d12010",
diff --git a/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb b/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb
index cc2aaa6..fe48c40 100644
--- a/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb
+++ b/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb
@@ -23,7 +23,7 @@
"id": "c24de5b4-611f-4ff3-8730-719ae8a37250",
"metadata": {},
"source": [
- "The efficient structural analysis method described in the notebook [8.2](.../8_1_rc_beam_mkapa.ipynb#top) gives us the possibility to illuminate some important differences between the steel- and carbon-concrete bending behavior. "
+ "The efficient structural analysis method described in the notebook [8.1](8_1_rc_beam_mkapa.ipynb#top) gives us the possibility to illuminate some important differences between the steel- and carbon-concrete bending behavior. "
]
},
{
--
GitLab