figure added

de2476ae · Rostislav Chudoba · 9c062ba2 · de2476ae · de2476ae
Commit de2476ae authored 4 years ago by Rostislav Chudoba
--- a/fig/mixture_rule_elastic.png
+++ b/fig/mixture_rule_elastic.png
--- a/index.ipynb
+++ b/index.ipynb
@@ -133,8 +133,13 @@
    "\n",
    " - 1.1 A roadmap through the BMCS landscape\n",
    " - 1.2 Introduction to Jupyter Web Apps and notebooks (mathematics and mechanics support)\n",
-    " - 1.3 [Example Elastic mixture rule](bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb)\n",
-    " \n",
+    " - 1.3 [Example Elastic mixture rule](bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
    "## Tour 2\n",
    "\n",
    "### Material and cross-section\n",
@@ -147,31 +152,56 @@
    "### Cross section and structure \n",
    "\n",
    "- 2.6 [Anchorage]\n",
-    "- 2.7 [Multiple cracking]\n",
-    "\n",
+    "- 2.7 [Multiple cracking]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
    "## Tour 3\n",
    "- 3.1 [Pull-out with softening and hardening](bmcs_course/3_1_PO_LF_LM_EL_FE_CB.ipynb) \n",
    "- 3.2 [EXTRA - Newton iterative scheme](extras/newton_method.ipynb)\n",
-    "- 3.2 [EXTRA - Nonlinear finite-element solver for 1d pullout](extras/pullout1d.ipynb)\n",
-    "\n",
+    "- 3.2 [EXTRA - Nonlinear finite-element solver for 1d pullout](extras/pullout1d.ipynb)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
    "## Tour 4\n",
    "\n",
    "- 4.1 [Unloading with multi-linear bond-slip law](bmcs_course/4_1_PO_multilinear_unloading.ipynb)\n",
    "- 4.2 [Basic concept of plasticity, ideal and isotropic hardening](bmcs_course/4_2_BS_EP_SH_I_A.ipynb) \n",
    "- 4.3 [Basic concept of plasticity, kinematic hardening](bmcs_course/4_3_BS_EP_SH_IK_A.ipynb)\n",
-    "- 4.4 [EXTRA - Generalization of the algorithm using vectors](bmcs_course/4_4_BS_EP_SH_IK_N.ipynb) \n",
-    "\n",
+    "- 4.4 [EXTRA - Generalization of the algorithm using vectors](bmcs_course/4_4_BS_EP_SH_IK_N.ipynb) "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
    "## Tour 5\n",
    "- 5.1 [Damage initiation, damage evolution, 2D bond behavior](bmcs_course/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb)\n",
-    "- 5.2 [Pull out simulation using damage model](bmcs_course/5_2_PO_DM_FRP_N.ipynb)\n",
-    "\n",
+    "- 5.2 [Pull out simulation using damage model](bmcs_course/5_2_PO_DM_FRP_N.ipynb)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
    "## Tour 6\n",
    "\n",
-    "- 6.1 Crack propagation\n",
-    "\n",
+    "- 6.1 Crack propagation"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
    "## Tour 7\n",
    "\n",
-    "- 7.1 Beam bending \n"
+    "- 7.1 Beam bending "
   ]
  }
 ],

 %% Cell type:markdown id: tags:

 # **Brittle-Matrix Composite Structures**

 Institute of Structural Concrete; @author: Rostislav Chudoba, Abedulgader Baktheer

 %% Cell type:markdown id: tags:

 ## Expedition investigating the BMCS landscape

 %% Cell type:markdown id: tags:

 | |   |   |   |
 |-|-|-------|------|
 | ![image-15.png](attachment:image-15.png) | ![image-4.png](fig/reinforcement.png)  | ![image-2.png](fig/bond.png) | ![image.png](fig/matrix.png) |
 | ![image-14.png](attachment:image-14.png) | [![image-6.png](fig/pullout.png)](pull_out/pull_out.ipynb) | ![image-7.png](fig/crack_bridge.png)| [![image-8.png](fig/mkappa.png)](mkappa/mkappa.ipynb) |
 | ![image-13.png](attachment:image-13.png)  | [![image-9.png](fig/tension.png)](tension/fragmentation.ipynb) | [![image-10.png](fig/bending.png)](bending/bending_3pt.ipynb) | ![image-11.png](fig/compression.png) |

 %% Cell type:markdown id: tags:

 ## Guided tours provided through BMCS landscape

 %% Cell type:markdown id: tags:

 | No. | Title |
 |- | - |
 | **Tour 1:** | Mixture rule (effective composite stiffness) |
 | **Tour 2:** | Constant bond (friction, pull-out, crack-bridge, multiple cracking) |
 | **Tour 3:** | Nonlinear bond (hardening, softening -> failure modes: anchorage, cracing) |
 | **Tour 4:** | Plastic bond behavior (irreversibility ->  energy dissipation) |
 | **Tour 5:** | Damage bond behavior (2D sheet debonding) |
 | **Tour 6:** | Concrete cracking and yielding (bended cross section) |
 | **Tour 7:** | Beam deflection - comparison wth EC2 and Model Code |

 %% Cell type:markdown id: tags:

 ## Tools used in the BMCS

 %% Cell type:markdown id: tags:

 | Engine and wheels | Further information |
 |-- |---|
 | Jupyter notebooks |   |
 | OpenWebApps |   |
 | Elementary syntax of Python language |  |
 | Plotting tools | `matplotlib`  |
 | Computer Algebra System | `sympy`  |

 %% Cell type:markdown id: tags:

 ## Knowledge and skills developed during the BMCS expedition

 %% Cell type:markdown id: tags:

 * Understand nonlinear material behavior, stress-redistribution, objectivity of material laws
 * Develop a basic understanding of damage, plasticity, fracture
 * Formulate simplified analytical models capturing material and structural behavior
 * Compare self-developed analytical models with general finite-element models
 * Distinguish model verification, calibration, validation and parametric studies

 %% Cell type:markdown id: tags:

 ## Tour 1

 - 1.1 A roadmap through the BMCS landscape
 - 1.2 Introduction to Jupyter Web Apps and notebooks (mathematics and mechanics support)
 - 1.3 [Example Elastic mixture rule](bmcs_course/1_1_elastic_stiffness_of_the_composite.ipynb)

+%% Cell type:markdown id: tags:
+
 ## Tour 2

 ### Material and cross-section

 - 2.1 [Pull-out of long fiber from rigid matrix](bmcs_course/2_1_PO_LF_LM_RG.ipynb)
 - 2.2 [Pull-out of long fiber from long elastic matrix](bmcs_course/2_2_PO_LF_LM_EL.ipynb)
 - 2.3 [Pull-out of short fiber from rigid matrix](bmcs_course/2_3_PO_SF_M_RG.ipynb)
 - 2.4 [Crack-bridge behavior]

 ### Cross section and structure

 - 2.6 [Anchorage]
 - 2.7 [Multiple cracking]

+%% Cell type:markdown id: tags:
+
 ## Tour 3
 - 3.1 [Pull-out with softening and hardening](bmcs_course/3_1_PO_LF_LM_EL_FE_CB.ipynb)
 - 3.2 [EXTRA - Newton iterative scheme](extras/newton_method.ipynb)
 - 3.2 [EXTRA - Nonlinear finite-element solver for 1d pullout](extras/pullout1d.ipynb)

+%% Cell type:markdown id: tags:
+
 ## Tour 4

 - 4.1 [Unloading with multi-linear bond-slip law](bmcs_course/4_1_PO_multilinear_unloading.ipynb)
 - 4.2 [Basic concept of plasticity, ideal and isotropic hardening](bmcs_course/4_2_BS_EP_SH_I_A.ipynb)
 - 4.3 [Basic concept of plasticity, kinematic hardening](bmcs_course/4_3_BS_EP_SH_IK_A.ipynb)
 - 4.4 [EXTRA - Generalization of the algorithm using vectors](bmcs_course/4_4_BS_EP_SH_IK_N.ipynb)

+%% Cell type:markdown id: tags:
+
 ## Tour 5
 - 5.1 [Damage initiation, damage evolution, 2D bond behavior](bmcs_course/5_1_Introspect_Damage_Evolution_Damage_initiation.ipynb)
 - 5.2 [Pull out simulation using damage model](bmcs_course/5_2_PO_DM_FRP_N.ipynb)

+%% Cell type:markdown id: tags:
+
 ## Tour 6

 - 6.1 Crack propagation

+%% Cell type:markdown id: tags:
+
 ## Tour 7

 - 7.1 Beam bending