From 776dcfc637537ec9a7ec2477215279ed55344b68 Mon Sep 17 00:00:00 2001
From: rch <rostislav.chudoba@rwth-aachen.de>
Date: Wed, 6 Apr 2022 18:06:52 +0200
Subject: [PATCH] regular tables removed, loading scenarios adapted
---
environment.yml | 2 +-
.../4_3_PO_trc_cfrp_cyclic.ipynb | 33 +++----
...t_Damage_Evolution_Damage_initiation.ipynb | 93 ++++++++++++++-----
tour5_damage_bond/5_2_Damage.ipynb | 4 +-
tour5_damage_bond/5_2_PO_cfrp_damage.ipynb | 35 ++++---
tour6_energy/6_1_energy_dissipation.ipynb | 4 +-
...llout_constant_bond_and_rigid_matrix.ipynb | 53 ++++++-----
.../6_3_localized_energy_dissipation.ipynb | 41 ++++----
tour7_cracking/7_1_bending3pt_2d.ipynb | 83 +++++++++--------
.../7_2_fracture_energy_ident.ipynb | 38 ++++++--
tour8_rcbeam/8_1_rc_beam_mkapa.ipynb | 28 +-----
tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb | 14 +--
12 files changed, 257 insertions(+), 171 deletions(-)
diff --git a/environment.yml b/environment.yml
index 43cfc56..7c5421c 100644
--- a/environment.yml
+++ b/environment.yml
@@ -18,6 +18,6 @@ dependencies:
- pip
- pip:
- bmcs-utils==0.0.31a0
- - bmcs-ibvpy==0.0.19a0
+ - bmcs-ibvpy==0.0.21a0
- bmcs-cross-section==0.0.54a0
- bmcs-beam==0.0.17a0
\ No newline at end of file
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 f19d856..d628e45 100644
--- a/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
+++ b/tour4_plastic_bond/4_3_PO_trc_cfrp_cyclic.ipynb
@@ -56,6 +56,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
+ "<a id=\"trc_test\"></a>\n",
"# **TRC pullout test modeled using plastic material model**"
]
},
@@ -82,7 +83,6 @@
"source": [
"## Pullout model setup\n",
"\n",
- "<a id=\"trc_test\"></a>\n",
"Let us first construct the model with the same geometry as specified in [notebook 3.2](../tour3_nonlinear_bond/3_2_anchorage_length.ipynb#trc_parameters). Note again that the maximum control displacement $w_\\mathrm{max}$ is \n",
"the half of the crack opening displacement measured in the test. Therefore `w_max` has been set to 3 mm."
]
@@ -134,7 +134,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "0d185daa73fa4e6f8c227f7406fddfda",
+ "model_id": "c62e49689b8d448e8cdfbea42b3e07d9",
"version_major": 2,
"version_minor": 0
},
@@ -166,7 +166,7 @@
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 3,
"metadata": {},
"outputs": [
{
@@ -179,7 +179,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "34857243edc54fe680b6fc142ea3effc",
+ "model_id": "672a979f5691473cbeacda70368c0121",
"version_major": 2,
"version_minor": 0
},
@@ -211,20 +211,21 @@
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
+ "init call\n",
"Warning: Update progress bar from model - not implemented yet\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "c5a1d36bcd8c45c78566e2c4e0c5abda",
+ "model_id": "3b3c476b6b434d20ad3b9b4ea0bf9c42",
"version_major": 2,
"version_minor": 0
},
@@ -268,7 +269,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
@@ -308,13 +309,13 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "bac2295e25b244d4adf0ac01cea34083",
+ "model_id": "b8ac8c8d7a7044498904cbabf852369a",
"version_major": 2,
"version_minor": 0
},
@@ -374,20 +375,21 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
+ "init call\n",
"Warning: Update progress bar from model - not implemented yet\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "717e68a2e6774d2f96acdec9dbc5d997",
+ "model_id": "9c358b71242f418a9e341eec4b7fb4bf",
"version_major": 2,
"version_minor": 0
},
@@ -405,13 +407,6 @@
" unloading_ratio=0.5,\n",
" number_of_increments=200,\n",
" );\n",
- "\n",
- "# pm.loading_scenario = 'cyclic'\n",
- "# pm.loading_scenario_.trait_set(number_of_cycles=4,\n",
- "# unloading_ratio=0.5,\n",
- "# number_of_increments=200,\n",
- "# amplitude_type='increasing',\n",
- "# loading_range='symmetric')\n",
"pm.reset()\n",
"pm.run()\n",
"pm.interact()"
@@ -452,7 +447,7 @@
"\n",
"In the classification of plasticity and damage models explained in [4.1](4_1_PO_multilinear_unloading.ipynb#damage_and_plasticity) we have learned that in a single material point, plastic behavior unloads with initial stiffness and induces a persistent deformation $s_\\mathrm{pl}$ at zero level of load. On the other hand, unloading of material point governed by damage behavior would recover all deformation and reach zero deformation at zero stress. **Can we assume such behavior of both class of models at the structural level?**\n",
"\n",
- "Comparing the slopes of the first unloading branch obtained for the [TRC test](trc_test) and of the [CFRP test](cfrp_test), we can notice that in the former case, the unloading stiffness is indeed equal to the initial stiffness. In this case, governed by the hardening bond-slip law, the shear stress increases and decreases upon loading and unloading in all material points simultaneously. On the other hand, in the case of [CFRP test](cfrp_test) governed by softening, the debonded zone reaches zero stress level and does not contribute to stress transfer any more. As a result, the effective length of the bond zone becomes shorter, so that the structural stiffness upon unloading must be smaller than the initial stiffness.\n",
+ "Comparing the slopes of the first unloading branch obtained for the [TRC test](#trc_test) and of the [CFRP test](cfrp_test), we can notice that in the former case, the unloading stiffness is indeed equal to the initial stiffness. In this case, governed by the hardening bond-slip law, the shear stress increases and decreases upon loading and unloading in all material points simultaneously. On the other hand, in the case of [CFRP test](cfrp_test) governed by softening, the debonded zone reaches zero stress level and does not contribute to stress transfer any more. As a result, the effective length of the bond zone becomes shorter, so that the structural stiffness upon unloading must be smaller than the initial stiffness.\n",
"\n",
"**The conclusion** is, that an application of a plastic model with softening, \n",
"is only valid up to the point at which the elastic domain vanished. From that point on, \n",
diff --git a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
index 218108b..5b3876b 100644
--- a/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
+++ b/tour5_damage_bond/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb
@@ -350,7 +350,7 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa - \\kappa_{0}}{- \\kappa_{0} + \\kappa_{u}} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\1 & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.LinearDamageFn at 0x7fd5c9d13c70>"
+ "<ibvpy.tmodel.mats_damage_fn.LinearDamageFn at 0x7fc382f9c9f0>"
]
},
"execution_count": 2,
@@ -379,7 +379,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "50a1b73f5e4c4edb94a7f43acbec8adc",
+ "model_id": "1fe33f0a113b4a5dafe74d8e26685826",
"version_major": 2,
"version_minor": 0
},
@@ -412,7 +412,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "09cfc9fabcc4473aa9bbe0f1ec310e0e",
+ "model_id": "fa1c0badcbab4303a242bbe453ca5e7e",
"version_major": 2,
"version_minor": 0
},
@@ -526,7 +526,7 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa < 0 \\\\1 - e^{- \\left(\\frac{\\kappa}{\\lambda}\\right)^{m}} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.WeibullDamageFn at 0x7fd5c1ae0770>"
+ "<ibvpy.tmodel.mats_damage_fn.WeibullDamageFn at 0x7fc37ab96310>"
]
},
"execution_count": 5,
@@ -556,7 +556,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "b8d561e842b34188af1226931dd84b6a",
+ "model_id": "909e09fd8e8743d69005b27fc62c7e98",
"version_major": 2,
"version_minor": 0
},
@@ -587,7 +587,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "7faea831f58740749012c04c84b5958b",
+ "model_id": "2851b7ff887946808105f5cf649d0bc4",
"version_major": 2,
"version_minor": 0
},
@@ -710,8 +710,35 @@
"slide_type": "fragment"
}
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "06c4b8a34daa4542a0a7c9e2bc107393",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "image/png": 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",
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+ " <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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+ " </div>\n",
+ " "
+ ],
+ "text/plain": [
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
+ "%matplotlib widget\n",
"get_omega_kappa = sp.lambdify(kappa, omega_kappa_) # executable expression\n",
"fig, ax = plt.subplots(1,1,figsize=(7,4), tight_layout=True) # plottable area\n",
"fig.canvas.header_visible=False # hide the header\n",
@@ -762,7 +789,7 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\frac{\\kappa_{0} e^{\\frac{- \\kappa + \\kappa_{0}}{- \\kappa_{0} + \\kappa_\\mathrm{f}}}}{\\kappa} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7fd5c1ae0310>"
+ "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7fc37ab96450>"
]
},
"execution_count": 10,
@@ -784,7 +811,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "9571331bb1d6472a934fb98ee1bbc718",
+ "model_id": "553af540dbf54a6da749361253d0de39",
"version_major": 2,
"version_minor": 0
},
@@ -854,7 +881,7 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa_{0} \\cdot \\left(1 - \\frac{1 - e^{- \\frac{\\alpha \\left(\\kappa - \\kappa_{0}\\right)}{- \\kappa_{0} + \\kappa_{u}}}}{1 - e^{- \\alpha}}\\right)}{\\kappa} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\0 & \\text{otherwise} \\end{cases} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7fd5c1ae0040>"
+ "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7fc37aae1040>"
]
},
"execution_count": 12,
@@ -876,7 +903,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "846c793c8791432d822fde2aa1653aea",
+ "model_id": "5adbe68e79aa40bdaf68f8510e3c4a90",
"version_major": 2,
"version_minor": 0
},
@@ -926,10 +953,10 @@
{
"data": {
"text/latex": [
- "$\\displaystyle 1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\e^{- \\frac{\\left(\\kappa - \\kappa_{0}\\right) \\left(\\sqrt{E_{b}} \\sqrt{- E_{b} \\kappa_{0}^{2} + 4 G_{f}} - E_{b} \\kappa_{0}\\right)}{E_{b} \\kappa_{0}^{2} - 2 G_{f}}} & \\text{otherwise} \\end{cases}$"
+ "$\\displaystyle 1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\e^{\\frac{\\left(\\kappa - \\kappa_{0}\\right) \\left(\\sqrt{E_{b}} \\sqrt{- E_{b} \\kappa_{0}^{2} + 4 G_{f}} + E_{b} \\kappa_{0}\\right)}{E_{b} \\kappa_{0}^{2} - 2 G_{f}}} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7fd5c1579040>"
+ "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7fc37ac0c040>"
]
},
"execution_count": 14,
@@ -943,6 +970,30 @@
"bs_fracture_energy.omega_fn_"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "c758633654a047c18d7452e57b6b0d20",
+ "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"
+ }
+ ],
+ "source": [
+ "bs_fracture_energy.omega_fn_.interact()"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -952,13 +1003,13 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "96bd42326f1242d3aaf0cf6523e8fa70",
+ "model_id": "b9b6111e4b634f11ad64210e733dc7d1",
"version_major": 2,
"version_minor": 0
},
@@ -1075,7 +1126,7 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 17,
"metadata": {
"slideshow": {
"slide_type": "fragment"
@@ -1094,7 +1145,7 @@
"╲╱ sₓ + s_y "
]
},
- "execution_count": 16,
+ "execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
@@ -1114,7 +1165,7 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 18,
"metadata": {
"hide_input": true,
"slideshow": {
@@ -1125,7 +1176,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "da63e0f779254450955d4b4aebe44843",
+ "model_id": "2e610e5a43d44874a0d4b58381794a0c",
"version_major": 2,
"version_minor": 0
},
@@ -1277,7 +1328,7 @@
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": 19,
"metadata": {
"hide_input": false,
"slideshow": {
@@ -1288,7 +1339,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "8e69a6ee61a64f0da00b7a995a1c353a",
+ "model_id": "5005c43b201c4603884ba39b420803b2",
"version_major": 2,
"version_minor": 0
},
diff --git a/tour5_damage_bond/5_2_Damage.ipynb b/tour5_damage_bond/5_2_Damage.ipynb
index 539e349..aca471f 100644
--- a/tour5_damage_bond/5_2_Damage.ipynb
+++ b/tour5_damage_bond/5_2_Damage.ipynb
@@ -533,7 +533,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.8"
+ "version": "3.9.0"
},
"toc": {
"base_numbering": 1,
@@ -551,4 +551,4 @@
},
"nbformat": 4,
"nbformat_minor": 4
-}
\ No newline at end of file
+}
diff --git a/tour5_damage_bond/5_2_PO_cfrp_damage.ipynb b/tour5_damage_bond/5_2_PO_cfrp_damage.ipynb
index e27041f..d87909f 100644
--- a/tour5_damage_bond/5_2_PO_cfrp_damage.ipynb
+++ b/tour5_damage_bond/5_2_PO_cfrp_damage.ipynb
@@ -46,7 +46,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "9198787b7650479a8affdda46dfc6eff",
+ "model_id": "c83b50c2460e423a812818347ec740e4",
"version_major": 2,
"version_minor": 0
},
@@ -77,7 +77,7 @@
"$\\displaystyle 1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\e^{\\frac{\\left(\\kappa - \\kappa_{0}\\right) \\left(\\sqrt{E_{b}} \\sqrt{- E_{b} \\kappa_{0}^{2} + 4 G_{f}} + E_{b} \\kappa_{0}\\right)}{E_{b} \\kappa_{0}^{2} - 2 G_{f}}} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7f0e65c6e360>"
+ "<ibvpy.tmodel.mats_damage_fn.GfDamageFn at 0x7f438e188e50>"
]
},
"execution_count": 3,
@@ -101,7 +101,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "0db6232b2c414a23974cb1353ff152a3",
+ "model_id": "db84454c52e94a6594f8b4b78b8b10de",
"version_major": 2,
"version_minor": 0
},
@@ -125,7 +125,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "07b7d6fc533e482097028c1a2ef23a6f",
+ "model_id": "0a90cfd2db3f4cc0b3420e018b474544",
"version_major": 2,
"version_minor": 0
},
@@ -148,12 +148,10 @@
"metadata": {},
"outputs": [],
"source": [
- "po_cfrp.loading_scenario = 'cyclic'\n",
- "po_cfrp.loading_scenario_.trait_set(number_of_cycles=3,\n",
+ "po_cfrp.loading_scenario.profile = 'cyclic-sym-incr'\n",
+ "po_cfrp.loading_scenario.profile_.trait_set(number_of_cycles=3,\n",
" unloading_ratio=0.5,\n",
- " number_of_increments=200,\n",
- " amplitude_type='increasing',\n",
- " loading_range='symmetric');"
+ " number_of_increments=200);"
]
},
{
@@ -162,7 +160,7 @@
"metadata": {},
"outputs": [],
"source": [
- "po_cfrp.loading_scenario = 'monotonic'\n",
+ "#po_cfrp.loading_scenario.profile = 'monotonic'\n",
"po_cfrp.sim.tloop.k_max=1000\n",
"po_cfrp.time_line.step=0.01\n",
"po_cfrp.trait_set(w_max=0.6);"
@@ -183,10 +181,17 @@
"execution_count": 9,
"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": "ed9fd153d44b4a9eb7728cc4a6f8d639",
+ "model_id": "dc82fef82c1f4ad4b6bbd022ae0bbad5",
"version_major": 2,
"version_minor": 0
},
@@ -210,10 +215,10 @@
{
"data": {
"text/latex": [
- "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa_{0} \\left(1 - \\frac{1 - e^{- \\frac{\\alpha \\left(\\kappa - \\kappa_{0}\\right)}{- \\kappa_{0} + \\kappa_{u}}}}{1 - e^{- \\alpha}}\\right)}{\\kappa} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\0 & \\text{otherwise} \\end{cases} & \\text{otherwise} \\end{cases}$"
+ "$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\begin{cases} 1 & \\text{for}\\: \\kappa < \\kappa_{0} \\\\\\frac{\\kappa_{0} \\cdot \\left(1 - \\frac{1 - e^{- \\frac{\\alpha \\left(\\kappa - \\kappa_{0}\\right)}{- \\kappa_{0} + \\kappa_{u}}}}{1 - e^{- \\alpha}}\\right)}{\\kappa} & \\text{for}\\: \\kappa < \\kappa_{u} \\\\0 & \\text{otherwise} \\end{cases} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7f0e5ceb34f0>"
+ "<ibvpy.tmodel.mats_damage_fn.AbaqusDamageFn at 0x7f438e3039a0>"
]
},
"execution_count": 10,
@@ -247,7 +252,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -261,7 +266,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.10"
+ "version": "3.9.0"
},
"toc": {
"base_numbering": 1,
diff --git a/tour6_energy/6_1_energy_dissipation.ipynb b/tour6_energy/6_1_energy_dissipation.ipynb
index aa774ed..4cb83c9 100644
--- a/tour6_energy/6_1_energy_dissipation.ipynb
+++ b/tour6_energy/6_1_energy_dissipation.ipynb
@@ -303,7 +303,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -317,7 +317,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.10"
+ "version": "3.9.0"
}
},
"nbformat": 4,
diff --git a/tour6_energy/6_2_Energy_released_in_pullout_constant_bond_and_rigid_matrix.ipynb b/tour6_energy/6_2_Energy_released_in_pullout_constant_bond_and_rigid_matrix.ipynb
index 7fa64bf..5b04904 100644
--- a/tour6_energy/6_2_Energy_released_in_pullout_constant_bond_and_rigid_matrix.ipynb
+++ b/tour6_energy/6_2_Energy_released_in_pullout_constant_bond_and_rigid_matrix.ipynb
@@ -122,7 +122,7 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ P : \\sqrt{2} \\sqrt{A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p w}, \\ a : - \\frac{P}{\\bar{\\tau} p}, \\ u_\\mathrm{f} : \\frac{P^{2}}{2 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p} + \\frac{P x}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x^{2}}{2 A_\\mathrm{f} E_\\mathrm{f}}\\right\\}$"
],
@@ -231,7 +231,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\mathcal{W}_w : \\frac{2 \\sqrt{2} \\left(A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p w\\right)^{\\frac{3}{2}}}{3 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p}\\right\\}$"
],
@@ -352,7 +352,7 @@
"outputs": [
{
"data": {
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+ "image/png": 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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\sigma_\\mathrm{f} : E_\\mathrm{f} \\left(\\frac{P}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x}{A_\\mathrm{f} E_\\mathrm{f}}\\right), \\ \\varepsilon_\\mathrm{f} : \\frac{P}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x}{A_\\mathrm{f} E_\\mathrm{f}}\\right\\}$"
],
@@ -416,7 +416,7 @@
"outputs": [
{
"data": {
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\n",
"text/latex": [
"$\\displaystyle \\left\\{ \\mathcal{U}_P : \\frac{P^{3}}{6 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p}, \\ \\mathcal{U}_w : \\frac{\\sqrt{2} \\left(A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p w\\right)^{\\frac{3}{2}}}{3 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p}\\right\\}$"
],
@@ -521,7 +521,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{\\sqrt{2} \\left(A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p w\\right)^{\\frac{3}{2}}}{3 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p}$"
],
@@ -618,7 +618,7 @@
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{3 \\sqrt{2} \\sqrt{A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p w}}{2 w}$"
],
@@ -738,12 +738,12 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "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\n",
"text/latex": [
"$\\displaystyle \\frac{\\sqrt{2} \\left(A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p w\\right)^{\\frac{3}{2}}}{3 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p}$"
],
@@ -754,7 +754,7 @@
" 3â‹…A_\\mathrm{f}â‹…E_\\mathrm{f}â‹…\\bar{\\tau}â‹…p "
]
},
- "execution_count": 9,
+ "execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
@@ -768,12 +768,12 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": "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\n",
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPEAAAAyCAYAAACNtz0TAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAKsklEQVR4Ae2d7ZXUNhSGZ/dsAcumgkAHyVJBoAPIVgB0EA6/4B8HOgAqCNABpAI+OoAO2GwH5H00ulrZ46+ZkW15Ip2jkSxdSfe+uldf9thHP3/+XC3JPXv27FT8PvE83/ThA6VfLUmOwmtBwBDYV6dPrKIFhS8k9CPjV/FXin+Rv2VpJSwILAyBvXT6eGHCwu5DGe6diO8Xit9U2m9RWokWBJaEwF46vUQjZhb+vKQeKrwWBHoQ2Eunj+bcE2v2/EvC3ZW3mfWj4ra3Ze97Jo/BPhatpevy2imdmfiewrKcvoalEkuBc6XCcjEqAtvq9KxGbEiIaU7Xvir83dIsVNoHxc/lf1W8Ysi6Zgn9Tv73ep7SiqshIIx2wrlWTbkcEYFddHr2gy3PNLD83YINB1fM1A/lXxqNynEyzSxcDNhA6Qh3xbmjyoPJEjboFivCJnep/HCQ2kSQKm1XnZ7diAVAvJRuwsNuI/1imV5YltgOeH+9UvjdaEq4gcDWOG/UcKAJ0pvXEg0/m/M6vJNO52DEZohfWxC0EdLN1F5YZmcEthNpRsrHLeVL8hqBrXAuoE2HwL46nYMRM0NwoLXhvJGSj8GakXNPmEMvwuCUP8mSJzS4vMi2ODsJhStYs9zE3ZZ/IM/q6EIe90k079fRZf6Kf7ZlyIisTe6RaF7LM2mAY4wD16wSwSQ8dCTabXDbS6dP1PBszoNC+xxeBad0AMEo78nf13VQEsVvBMISGYTALjhHFYcHEVQPdxPeyGO4DKysiDCA0D+KL8p5Ga7E9H35S3nkqazqRGMTyIWXm8PUf+Sf69qd0yikHOm2chyMm8rupdOzGrEEZhTD3fYgrK9Wq2+KfFBaBUzLLOHWCOyEs/BndkI5zaHsDKzMxjhuAcb5LnEpP5KPmRU9C4OQ4it5M9ogitKg/eQTmGS+Ky2U0zU6yyBH+Ulxm9uIbZ/GKFjceAjsivNnKWR8WMgtQG4FYswo66L7TfxjrMFgdY2hOtmQr+YwWqOF7nkt/5Rr0RBOitvcRswMYcCAQXHjILATzpHSGld/KlJXXss7hJB9fmVrZ0IJCxu4wBJXP8dhoLzydHWdHhW3Y8fODD8SltEMVwdjnVp+kyCQCmfVg/Iyy4QlpNJO8UkYzaMStgqfe1jBWJmVnVFHtODzNrp20SlwO6k3OuG1jWiNI9+EfBx6Uzvh7I2TgxoOaBhoOWhkpomX1090fRDnFpKDfS5/pKnPokquOPCsTDwqwx4Yo+awj0FtUtxmm4klKEuXlYSuAEJacUkR2BVnlBXPE0so5mXMldLIs4OeOGupcWbheIDakMPjwAoSg3dOacQZyP5QHEOeHLcTx8mEPxKU2xII7pbTumYm5oQwPFI5ITsH21QCnBlceYoJpVypPu6V0k/0H/c1Me6wtIZm4Y57v8jW5RwWImDGdSfRinOP+K6ubQCYHLcs/gDRhVrJKwjkgoAfwM4VckqfjZtzOZ0NCIWRgsBABJiJs9v+FSMe2HupyDSK35HnIKS4AQjkgpf44FyAbWB25wDFiAcoUmISlAFf3DAEZsdLBsyhF49Z4jiRz2oQnvxga41D+S0ILAcBGS0HeNke4pWZeDm6VDgtCDQiUIy4EZaSWBBYDgLFiJfTV4XTgkAjAkdPnz5d1icgGsWYPlH7pKOuVpXPgwP2cEBMeuYvKk9A+TT+IdT7zyDRLLLPujAreMUqsl28POyxHV57U0tZOenkGd3yhNoANAte/SCV5XQ/RoWiIJA1AsWIs+6ewlxBoB+BYsT9GBWKgkDWCCQ3Yu1h2O9V3kSZNQIHzFzpi3E6NzdcwxNbMCaR7Q/e54pzespfrvr+JF1Hij9E21s76nmDr9Uuf/XiLQrwguONC1cutv7hcTx45rSXdxq590its8qvR2DvvjikfpAs2eh4SlydEXvhXikMhqA4bzH8Qpr8oH9uiI6T170NGAVUXZzevlRo3w8KvJFvTvlm7JaUe8hAFA9Go/ArXJL0RQb9kAQvyYEBZ6PjKXG1mRiD5fUrwakRZmEe9GY0H/peXAyNZ0z5SiHLavujtJK2dypv91m7BhH+uD7oi4hensbBQHXwJ/cKBttz3F9CbXTJ0l/BcIpkfZG6H4aLkPTNL9npeCpczYgxlm+q9IZ8PEugcIMMUuUAKQbqdJvOaqE1g+t7Dxfv/O114nH2b+70MpmAYIS+SNoPCUTcpYocdTwJrsceDYy16Q1+BlanQUppWKr8UMjM+8MXIm1f52Zi1VuZvXRtr0ZZKc6gU8nft9EllxceY/TFIfRDjjqeBNcTFFYd3/aon9vfKr/vcIulty1FbQnNgdO+jvYrBqp2EDxeLawG8AcNqwS2B20DkvvejvKhpV3a4b1LD+QxDK43vrmjtNzcGH2RrB/mAkt9mqOOJ8HVGXETsF6RUV47sW4iQ+FR7ni5a0Y8aJ/aWKkSfb1ks7dmX47DAGlvq7pVnueYMXw6klN3DLoil2jigepC1xgD7fJn8K5v7ig7Dyd+k/eFrxMB9+6HPFC65kKyYUSz6HhKXFuNWMKhwO/VWN8zvnzwzGZhELJZEnA2nGeevQAGyT68rX7bL1C/MzCF1MkbF22gqNSvdJS4UrfS6KhB39uhMk//ibgc7bV+c8dR5PUzRl8k6Ye8YArczKnjyXBtNGIpMjMXytu2BHEoKJ+9KSN0/KrPMw8RRtrkmLU57YaujYZyGORKdYcZUvG6QZHPVwhs4NioW3mUj+vAqI2eJuqONowe2uc1Asdzrd0ayfSX4mesvkjSD9Mj0t2i8Jpbx5PhumHEEo5945lCGyka0VC+KfMGnfK4t7sxE/sy9r2aLkOiTQyosh8mUS4MGL4++OV+MvwMqftCdPHyX5fXTvU4vhQ6kJVT5wF5rZ3rgjPGvOwrhWP0xVj9MBtiwikHHU+G63GMpITjAYFbCsMMrDgz7YZBio7Pe7QthVnuntXqhmn2osyclAXIRqc8M6ANY1NevJSmDvv486C6RY+MPP3V5zAIZuX6YANvb/sKT5w/Sl+M3A8TQ7RuTjLNruOpcQ0zsSrGyPhOcOXAR2kIzf3V4DwTXc9Ho/gVw1cZ/vBO3Q8b2gh1+4jNKPVZMNCpDuqHXwaSQXX7MgxKtlwO9TVEMNZK+yrHoIFsdYwaik+TJJ7gc6y+GKUfpkFmsxVhlYuOJ8XVGbGEwyDY5H9UPCxXPQx3lBZmXKNV2PUU1yVloZWPZ05fZW/AwEH5RmNTOooLv2HFAP0AR729/Kj+U9HR4U4O6lUaGGG89s0dkmd1nqd3Csfqi7H6YXLcDCs1nIOOJ8XVGbEEY9mKkjYtcZ0hCQQUG8PBgFa6ZvSvKLTSYI6TakejEAUDtN6ZSzTU/0YePvArpdFe7KA5lydk9q3MlDFhS/y20uuDVBOp8c9tJnuwpP7NnaZyk6SJp9H6wtc9dj9MglOtkVl1fExcJ309jxfkX4Wd76eqgT/oMmXdqgtDz+6bO4OAGEiUEq+4ybHqjdvIOT6W/F31HucMyIy8MRNvO8vPyG5p+v+MwGQzsR9JWKax5OagjBPV3v3pkM5JWbeNeGqXByeyfev/EFzaaFLiFbcxVr1xGznHx5K/r97JjDhn8I03gcUA80SeQy3OAvj/aeVkXmnFFQSyQuA/FZ/by5iZZ+UAAAAASUVORK5CYII=\n",
"text/latex": [
"$\\displaystyle \\frac{P^{2}}{2 A_\\mathrm{f} E_\\mathrm{f} \\bar{\\tau} p} + \\frac{P x}{A_\\mathrm{f} E_\\mathrm{f}} + \\frac{\\bar{\\tau} p x^{2}}{2 A_\\mathrm{f} E_\\mathrm{f}}$"
],
@@ -789,7 +789,7 @@
"thrm{f}â‹…E_\\mathrm{f}"
]
},
- "execution_count": 12,
+ "execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
@@ -807,12 +807,12 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": "iVBORw0KGgoAAAANSUhEUgAAAA4AAAASCAYAAABrXO8xAAABDUlEQVR4nK3STyvEURTG8c/Iihg2VhYiM29A/mRl1GTpDVjYUixslIWxsKYplpJ3YGtjRd4BRlNK2VlIkg0Wvzv1c+dOIs/mqdP5nntuzynUajV/UVeiNowjPOId99jHYL6pO4LGcIkhnOIGk1jHAmbxlHrxMEBrWMQmKthDGbupVUdRDasdRAO38Yol9MZgJfgZPiLwBRfowXQMloM3pHUXvBSDxeDPHcBWfSAGf1Ih+GcMtiYWpdWf78uDt8FLHcDx4I0YPA9e1f6FPln4b7iKwaYsihGsRuCOLL8TWZ5tJ7ciO7k65nGNKcyFFbdajfFKTUzgOAAbsvutY0a409SL8IDlRP2bfpPj/4BfAUMv45ahjIgAAAAASUVORK5CYII=\n",
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAAoAAAAOCAYAAAAWo42rAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAz0lEQVQoFXWS4Q2CMBCFhQkIbqAjqBvgBsoGOkf/GUbQFXQENjAyAhtA2AC/V3tGG2hyeXdfH71LSzKO48KWc64KeYeuiQrWiiVmBLyoL+hDG2iGiO3J2zTAM5qZKbAB1UdX1d6IHolGIFpP6kKnm7EA9JFJpZ8PLdIwy4TnD+U6MQ9IM82tb+s5g/GlTpyazQzWrdOM1lL3Fi9jn3tktyZWsYvaTqzteu7A7YRxA2vU1RtJboAePZiZXG1L4iT2+9ba0E8xEPopdoTe3r/YGx/SQ0OZAIYmAAAAAElFTkSuQmCC\n",
"text/latex": [
"$\\displaystyle 0$"
],
@@ -820,7 +820,7 @@
"0"
]
},
- "execution_count": 13,
+ "execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
@@ -850,7 +850,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
@@ -879,18 +879,29 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "2ef791240c354885bf4b3769193ab3e3",
+ "model_id": "bde3fb4aba6c422fbb8922f589925ffa",
"version_major": 2,
"version_minor": 0
},
+ "image/png": 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",
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+ "\n",
+ " <div style=\"display: inline-block;\">\n",
+ " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+ " Figure\n",
+ " </div>\n",
+ " <img 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' width=1000.0/>\n",
+ " </div>\n",
+ " "
+ ],
"text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
]
},
"metadata": {},
@@ -1029,7 +1040,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -1043,7 +1054,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.8"
+ "version": "3.9.0"
}
},
"nbformat": 4,
diff --git a/tour6_energy/6_3_localized_energy_dissipation.ipynb b/tour6_energy/6_3_localized_energy_dissipation.ipynb
index ad8b4c6..778d183 100644
--- a/tour6_energy/6_3_localized_energy_dissipation.ipynb
+++ b/tour6_energy/6_3_localized_energy_dissipation.ipynb
@@ -225,7 +225,7 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": 1,
"id": "applied-relief",
"metadata": {},
"outputs": [],
@@ -255,14 +255,14 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 2,
"id": "supported-watch",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "3e338fbcfb674d80baea7c2518250933",
+ "model_id": "d7271c88b6f34673881e8ac5b72755a9",
"version_major": 2,
"version_minor": 0
},
@@ -288,14 +288,21 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 3,
"id": "worth-dialogue",
"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": "02d8696be0424f388271c2be75e2f94e",
+ "model_id": "f9cdbbd06d134ede9326517ba98350df",
"version_major": 2,
"version_minor": 0
},
@@ -373,17 +380,17 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 4,
"id": "floppy-serbia",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "52784.20045086243"
+ "52784.20045086224"
]
},
- "execution_count": 14,
+ "execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
@@ -408,7 +415,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 5,
"id": "combined-consequence",
"metadata": {},
"outputs": [
@@ -418,7 +425,7 @@
"50000.0"
]
},
- "execution_count": 15,
+ "execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
@@ -438,17 +445,17 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 6,
"id": "prostate-elements",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "1.0556840090172486"
+ "1.0556840090172448"
]
},
- "execution_count": 16,
+ "execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
@@ -483,14 +490,14 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 7,
"id": "documented-madness",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "2e6dc9c435854f5c8b6cbc060aed1d0a",
+ "model_id": "a1fe7af396ad46178dea9a43ee599d0e",
"version_major": 2,
"version_minor": 0
},
@@ -591,7 +598,7 @@
],
"metadata": {
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -605,7 +612,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.8"
+ "version": "3.9.0"
}
},
"nbformat": 4,
diff --git a/tour7_cracking/7_1_bending3pt_2d.ipynb b/tour7_cracking/7_1_bending3pt_2d.ipynb
index 5215b10..f222f71 100644
--- a/tour7_cracking/7_1_bending3pt_2d.ipynb
+++ b/tour7_cracking/7_1_bending3pt_2d.ipynb
@@ -217,7 +217,7 @@
"$\\displaystyle \\begin{cases} 0 & \\text{for}\\: \\kappa \\leq \\kappa_{0} \\\\1 - \\frac{\\kappa_{0} e^{\\frac{- \\kappa + \\kappa_{0}}{- \\kappa_{0} + \\kappa_\\mathrm{f}}}}{\\kappa} & \\text{otherwise} \\end{cases}$"
],
"text/plain": [
- "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7f422e67c860>"
+ "<ibvpy.tmodel.mats_damage_fn.ExpSlopeDamageFn at 0x7fb26e620a90>"
]
},
"execution_count": 3,
@@ -325,7 +325,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "fc51658e45264e52b57851522cdf2572",
+ "model_id": "718ad86baeb74b9ca769d6144aca0064",
"version_major": 2,
"version_minor": 0
},
@@ -516,7 +516,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "a51614aaec564df48ac39cbffc00116e",
+ "model_id": "af723b461a52424e98a19d3f168cf80e",
"version_major": 2,
"version_minor": 0
},
@@ -740,22 +740,8 @@
"output_type": "stream",
"text": [
"calculating F-w and G for crack band L_cb = 1 [mm]\n",
- "\n"
- ]
- },
- {
- "ename": "StopIteration",
- "evalue": "Warning: convergence not reached in 500 iterations",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mStopIteration\u001b[0m Traceback (most recent call last)",
- "Input \u001b[0;32mIn [14]\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m bt\u001b[38;5;241m.\u001b[39mreset()\n\u001b[1;32m 5\u001b[0m bt\u001b[38;5;241m.\u001b[39mgeometry\u001b[38;5;241m.\u001b[39mL_cb \u001b[38;5;241m=\u001b[39m L_cb\n\u001b[0;32m----> 6\u001b[0m \u001b[43mbt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrun\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 7\u001b[0m Fw_dict[L_cb] \u001b[38;5;241m=\u001b[39m bt\u001b[38;5;241m.\u001b[39mhist[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mFw\u001b[39m\u001b[38;5;124m'\u001b[39m]\u001b[38;5;241m.\u001b[39mFw\n\u001b[1;32m 8\u001b[0m G_dict[L_cb] \u001b[38;5;241m=\u001b[39m bt\u001b[38;5;241m.\u001b[39mhist[\u001b[38;5;124m'\u001b[39m\u001b[38;5;124menergy\u001b[39m\u001b[38;5;124m'\u001b[39m]\u001b[38;5;241m.\u001b[39mG_t[\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]\n",
- "File \u001b[0;32m~/PycharmProjects/bmcs_apps/tour7_cracking/bmcs_bending/bending3pt_2d.py:504\u001b[0m, in \u001b[0;36mBendingTestModel.run\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 503\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mrun\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[0;32m--> 504\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msim\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrun\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n",
- "File \u001b[0;32m~/PycharmProjects/bmcs_ibvpy/ibvpy/sim/sim_base.py:59\u001b[0m, in \u001b[0;36mSimulator.run\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 56\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mrun\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[1;32m 57\u001b[0m \u001b[38;5;124mr\u001b[39m\u001b[38;5;124;03m'''Run a thread if it does not exist - do nothing otherwise\u001b[39;00m\n\u001b[1;32m 58\u001b[0m \u001b[38;5;124;03m '''\u001b[39;00m\n\u001b[0;32m---> 59\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtloop\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 60\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m\n",
- "File \u001b[0;32m~/PycharmProjects/bmcs_ibvpy/ibvpy/sim/tloop.py:65\u001b[0m, in \u001b[0;36mTLoop.__call__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 63\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21m__call__\u001b[39m(\u001b[38;5;28mself\u001b[39m):\n\u001b[1;32m 64\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39minit()\n\u001b[0;32m---> 65\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43meval\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n",
- "File \u001b[0;32m~/PycharmProjects/bmcs_ibvpy/ibvpy/sim/tloop_implicit.py:52\u001b[0m, in \u001b[0;36mTLoopImplicit.eval\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mrestart \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[1;32m 51\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m---> 52\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mStopIteration\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mWarning: \u001b[39m\u001b[38;5;124m'\u001b[39m\n\u001b[1;32m 53\u001b[0m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mconvergence not reached in \u001b[39m\u001b[38;5;132;01m%g\u001b[39;00m\u001b[38;5;124m iterations\u001b[39m\u001b[38;5;124m'\u001b[39m \u001b[38;5;241m%\u001b[39m k)\n\u001b[1;32m 54\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m\n\u001b[1;32m 55\u001b[0m \u001b[38;5;66;03m# accept the time step and record the state in history\u001b[39;00m\n",
- "\u001b[0;31mStopIteration\u001b[0m: Warning: convergence not reached in 500 iterations"
+ "calculating F-w and G for crack band L_cb = 2 [mm]\n",
+ "calculating F-w and G for crack band L_cb = 4 [mm]\n"
]
}
],
@@ -781,36 +767,48 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 20,
"id": "dbc926a6",
"metadata": {},
"outputs": [
{
"data": {
- "application/vnd.jupyter.widget-view+json": {
- "model_id": "caf92e4a39a5440c9083748cd2365dae",
- "version_major": 2,
- "version_minor": 0
- },
"text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+ "(0.0, 575.4982493017241)"
]
},
+ "execution_count": 20,
"metadata": {},
- "output_type": "display_data"
+ "output_type": "execute_result"
},
{
"data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "6e356a3252da48a99f45d9c3f0cbd932",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "image/png": 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",
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+ "\n",
+ " <div style=\"display: inline-block;\">\n",
+ " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+ " Figure\n",
+ " </div>\n",
+ " <img 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' width=800.0/>\n",
+ " </div>\n",
+ " "
+ ],
"text/plain": [
- "(0.0, 575.4982493017241)"
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
]
},
- "execution_count": 15,
"metadata": {},
- "output_type": "execute_result"
+ "output_type": "display_data"
}
],
"source": [
+ "%matplotlib widget\n",
"import matplotlib.pylab as plt\n",
"fig, (ax, ax_G) = plt.subplots(1,2, figsize=(8,3), tight_layout=True)\n",
"fig.canvas.header_visible=False\n",
@@ -937,7 +935,7 @@
{
"data": {
"text/plain": [
- "array([1. , 0.49416785, 0.32557841, 0.24129989])"
+ "array([1., 1., 1., 1.])"
]
},
"execution_count": 16,
@@ -993,11 +991,11 @@
"output_type": "stream",
"text": [
"calculating F-w and G_total for crack band L_cb = 1 [mm]\n",
- "with scaled effective specific dissipation energy G_f 0.1092317778327407\n",
+ "with scaled effective specific dissipation energy G_f 0.06435413610343986\n",
"calculating F-w and G_total for crack band L_cb = 2 [mm]\n",
- "with scaled effective specific dissipation energy G_f 0.053795255499048136\n",
+ "with scaled effective specific dissipation energy G_f 0.06435413610343986\n",
"calculating F-w and G_total for crack band L_cb = 4 [mm]\n",
- "with scaled effective specific dissipation energy G_f 0.02608239216637152\n"
+ "with scaled effective specific dissipation energy G_f 0.06435413610343986\n"
]
}
],
@@ -1020,19 +1018,30 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 21,
"id": "7aebaf1a",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "d568ddeebbbc4cd0b9c29c042f51ea28",
+ "model_id": "28b0c1802eac470f9311291733af9212",
"version_major": 2,
"version_minor": 0
},
+ "image/png": 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",
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+ " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+ " Figure\n",
+ " </div>\n",
+ " <img 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' width=800.0/>\n",
+ " </div>\n",
+ " "
+ ],
"text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
]
},
"metadata": {},
diff --git a/tour7_cracking/7_2_fracture_energy_ident.ipynb b/tour7_cracking/7_2_fracture_energy_ident.ipynb
index e90970f..ee3aa14 100644
--- a/tour7_cracking/7_2_fracture_energy_ident.ipynb
+++ b/tour7_cracking/7_2_fracture_energy_ident.ipynb
@@ -291,7 +291,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 2,
"id": "b3afc77c-783e-44fe-acd1-e1e9b49f7841",
"metadata": {},
"outputs": [],
@@ -398,12 +398,23 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "7b29635594fa4a90afb2a15f54024c86",
+ "model_id": "1bcca7f629b14553887e60e9a2e214c0",
"version_major": 2,
"version_minor": 0
},
+ "image/png": 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",
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+ "\n",
+ " <div style=\"display: inline-block;\">\n",
+ " <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
+ " Figure\n",
+ " </div>\n",
+ " <img 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' width=800.0/>\n",
+ " </div>\n",
+ " "
+ ],
"text/plain": [
- "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
+ "Canvas(header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Bac…"
]
},
"metadata": {},
@@ -461,10 +472,17 @@
"id": "b3a51580-57c7-4c51-b4a7-17a044450d6a",
"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": "12d662e375cf4fc6a1c83253124f2245",
+ "model_id": "95d0efeedbc24fd7bc1d000a2bf4a04e",
"version_major": 2,
"version_minor": 0
},
@@ -498,8 +516,16 @@
"<div style=\"background-color:lightgray;text-align:left;width:45%;display:inline-table;\"> <img src=\"../icons/previous.png\" alt=\"Previous trip\" width=\"50\" height=\"50\">\n",
" <a href=\"../tour7_cracking/7_1_bending3pt_2d.ipynb#top\">7.1 Straight crack propagation</a> \n",
"</div><div style=\"background-color:lightgray;text-align:center;width:10%;display:inline-table;\"> <a href=\"#top\"><img src=\"../icons/compass.png\" alt=\"Compass\" width=\"50\" height=\"50\"></a></div><div style=\"background-color:lightgray;text-align:right;width:45%;display:inline-table;\"> \n",
- " <a href=\"../tour8_bending/8_1_reinforced_beam.ipynb#top\">8.1 Reinforced beam bending</a> <img src=\"../icons/next.png\" alt=\"Previous trip\" width=\"50\" height=\"50\"> </div> "
+ " <a href=\"../tour8_rcbeam/8_1_rc_beam_mkapa.ipynb#top\">8.1 Reinforced beam bending</a> <img src=\"../icons/next.png\" alt=\"Previous trip\" width=\"50\" height=\"50\"> </div> "
]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "42d66f43-a832-46dc-b5eb-ecb5c3737e2b",
+ "metadata": {},
+ "outputs": [],
+ "source": []
}
],
"metadata": {
@@ -518,7 +544,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.8"
+ "version": "3.9.0"
}
},
"nbformat": 4,
diff --git a/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb b/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb
index b07864e..f92f299 100644
--- a/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb
+++ b/tour8_rcbeam/8_1_rc_beam_mkapa.ipynb
@@ -277,25 +277,7 @@
"execution_count": 1,
"id": "47ced80d-59d8-474d-be9b-869804021ac5",
"metadata": {},
- "outputs": [
- {
- "ename": "ModuleNotFoundError",
- "evalue": "No module named 'shapely'",
- "output_type": "error",
- "traceback": [
- "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)",
- "Input \u001b[0;32mIn [1]\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m get_ipython()\u001b[38;5;241m.\u001b[39mrun_line_magic(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mmatplotlib\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mwidget\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m----> 2\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mapi\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m MKappa\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mapi\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m ReinfLayer, BarLayer, FabricLayer\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_design\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_shape\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m TShape\n",
- "File \u001b[0;32m~/miniconda3/envs/bmcs_env/lib/python3.9/site-packages/bmcs_cross_section/api.py:1\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmkappa\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmkappa\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m MKappa, MKappaParamsStudy\n\u001b[1;32m 2\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmatmod\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m \\\n\u001b[1;32m 3\u001b[0m ConcreteMatMod, EC2PlateauConcreteMatMod, EC2ConcreteMatMod, PWLConcreteMatMod, SteelReinfMatMod, CarbonReinfMatMod\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmatmod\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mec2\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m EC2\n",
- "File \u001b[0;32m~/miniconda3/envs/bmcs_env/lib/python3.9/site-packages/bmcs_cross_section/mkappa/__init__.py:2\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 2\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mmkappa\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m MKappa\n",
- "File \u001b[0;32m~/miniconda3/envs/bmcs_env/lib/python3.9/site-packages/bmcs_cross_section/mkappa/mkappa.py:7\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m pyplot \u001b[38;5;28;01mas\u001b[39;00m plt\n\u001b[1;32m 5\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mticker\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m PercentFormatter\n\u001b[0;32m----> 7\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_cross_section\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_design\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m CrossSectionDesign\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mscipy\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01moptimize\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m root\n\u001b[1;32m 9\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_utils\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mapi\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m \\\n\u001b[1;32m 10\u001b[0m InteractiveModel, Instance, Item, View, mpl_align_xaxis, ParametricStudy, \\\n\u001b[1;32m 11\u001b[0m SymbExpr, InjectSymbExpr, Float, Int, Bool, FloatRangeEditor, FloatEditor, HistoryEditor\n",
- "File \u001b[0;32m~/miniconda3/envs/bmcs_env/lib/python3.9/site-packages/bmcs_cross_section/cs_design/__init__.py:2\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 2\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_design\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m CrossSectionDesign\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_layout\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m CrossSectionLayout\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_shape\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m CustomShape, TShape, Rectangle, Circle, ICrossSectionShape, IShape\n",
- "File \u001b[0;32m~/miniconda3/envs/bmcs_env/lib/python3.9/site-packages/bmcs_cross_section/cs_design/cs_design.py:2\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_layout\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m CrossSectionLayout\n\u001b[0;32m----> 2\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mcs_shape\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m Rectangle, Circle, TShape, CustomShape, ICrossSectionShape, IShape\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mbmcs_utils\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mapi\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m Model, Item, View, EitherTypeEditor\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mtraits\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mapi\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01mtr\u001b[39;00m\n",
- "File \u001b[0;32m~/miniconda3/envs/bmcs_env/lib/python3.9/site-packages/bmcs_cross_section/cs_design/cs_shape.py:9\u001b[0m, in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mpatches\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m Polygon\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mpatches\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m Circle \u001b[38;5;28;01mas\u001b[39;00m MPL_Circle\n\u001b[0;32m----> 9\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mshapely\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mgeometry\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01msg\u001b[39;00m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mclass\u001b[39;00m \u001b[38;5;21;01mICrossSectionShape\u001b[39;00m(tr\u001b[38;5;241m.\u001b[39mInterface):\n\u001b[1;32m 12\u001b[0m \u001b[38;5;124;03m\"\"\"This interface lists the functions need to be implemented by cross section classes.\"\"\"\u001b[39;00m\n",
- "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'shapely'"
- ]
- }
- ],
+ "outputs": [],
"source": [
"%matplotlib widget\n",
"from bmcs_cross_section.api import MKappa\n",
@@ -347,7 +329,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "7e1343bc35f6444792bb397e64947318",
+ "model_id": "02ac3374c8fc42ed98a44437bee4e076",
"version_major": 2,
"version_minor": 0
},
@@ -393,7 +375,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "2a22f3a9260b4964bafaf3e64e591411",
+ "model_id": "19d0349151574241b08a1f7b09b15dc5",
"version_major": 2,
"version_minor": 0
},
@@ -457,7 +439,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "5bf8f9968df844d8a2e630e1af266a27",
+ "model_id": "ea17d23d225c4f13bbbe05547e986808",
"version_major": 2,
"version_minor": 0
},
@@ -506,7 +488,7 @@
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "94143fda94974861b13f7e7210fe2c57",
+ "model_id": "2fbf760f9c47427883d9f1a041f9b9af",
"version_major": 2,
"version_minor": 0
},
diff --git a/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb b/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb
index d05e726..bc0cfd1 100644
--- a/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb
+++ b/tour8_rcbeam/8_2_rc_beam_uls_sls.ipynb
@@ -61,7 +61,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 1,
"id": "3b19d6ec-cad4-4b9c-bee1-3f5560b1f814",
"metadata": {},
"outputs": [],
@@ -71,7 +71,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 2,
"id": "266b642f-59cf-4234-9386-66b99d255f0a",
"metadata": {},
"outputs": [],
@@ -98,14 +98,14 @@
},
{
"cell_type": "code",
- "execution_count": 32,
+ "execution_count": 3,
"id": "fb6b6aa6-cf70-4d14-9a46-0fe3b2febe5a",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "05e0ee70e595480f800c48a772f7e841",
+ "model_id": "5039e8d2004b4b8c910ae54bb3fe7be8",
"version_major": 2,
"version_minor": 0
},
@@ -164,14 +164,14 @@
},
{
"cell_type": "code",
- "execution_count": 41,
+ "execution_count": 4,
"id": "5841c437-15e1-41d7-8d8c-b71744574357",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
- "model_id": "11158f178c0545d5a17cd3d33e8896c0",
+ "model_id": "5ded08a75f554e87b7f78567049f8412",
"version_major": 2,
"version_minor": 0
},
@@ -371,7 +371,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.8"
+ "version": "3.9.0"
}
},
"nbformat": 4,
--
GitLab