{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Brittle-Matrix Composite Structures**\n",
    "\n",
    "Institute of Structural Concrete; @author: Rostislav Chudoba, Abedulgader Baktheer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Expedition investigating the BMCS landscape"
   ]
  },
  {
   "attachments": {
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     "image/png": "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"
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    "image-11.png": {
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"
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    "image-13.png": {
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    "image-14.png": {
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"
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    },
    "image-7.png": {
     "image/png": 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HpDAEugYClAv0I+uaQvI1t+gbz2AakiL/c4Jdo15MS4aAShCg5Hj2ok74PzxFrSm7QGHBAAAAAElFTkSuQmCC"
    },
    "image-8.png": {
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"
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    "image-9.png": {
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"
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    "| |   |   |   | \n",
    "|-|-|-------|------| \n",
    "| ![image-15.png](attachment:image-15.png) | ![image-4.png](fig/reinforcement.png)  | ![image-2.png](fig/bond.png) | ![image.png](fig/matrix.png) | \n",
    "| ![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) |\n",
    "| ![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) |"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "## Guided tours provided through BMCS landscape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| No. | Title |\n",
    "|- | - |\n",
    "| **Tour 1:** | Mixture rule (effective composite stiffness) |\n",
    "| **Tour 2:** | Constant bond (friction, pull-out, crack-bridge, multiple cracking) | \n",
    "| **Tour 3:** | Nonlinear bond (hardening, softening -> failure modes: anchorage, cracing) |\n",
    "| **Tour 4:** | Plastic bond behavior (irreversibility ->  energy dissipation) |\n",
    "| **Tour 5:** | Damage bond behavior (2D sheet debonding) |\n",
    "| **Tour 6:** | Concrete cracking and yielding (bended cross section) |\n",
    "| **Tour 7:** | Beam deflection - comparison wth EC2 and Model Code |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vehicle used to move forward quickly through BMCS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "| Engine and wheels | Further information |\n",
    "|-- |---|\n",
    "| Jupyter notebooks |   |\n",
    "| OpenWebApps |   |\n",
    "| Elementary syntax of Python language |  |\n",
    "| Plotting tools | `matplotlib`  |\n",
    "| Computer Algebra System | `sympy`  |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Knowledge and skills developed during the BMCS expedition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Understand nonlinear material behavior, stress-redistribution, objectivity of material laws\n",
    "* Develop a basic understanding of damage, plasticity, fracture\n",
    "* Formulate simplified analytical models capturing material and structural behavior\n",
    "* Compare self-developed analytical models with general finite-element models  \n",
    "* Distinguish model verification, calibration, validation and parametric studies\n",
    "* Understand the relation between models and assessment rules for ultimate and service limit states"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Seminar work\n",
    "\n",
    "### Topics\n",
    " - Pull-out and bond\n",
    " - Crack initiation and propagation\n",
    " - Multiple cracking and strain-hardening\n",
    " - Bending\n",
    " - Compression\n",
    " \n",
    "### Models\n",
    " - [How to set the model parameters](bmcs_course/SeminarWorkHowTo.ipynb)\n",
    " \n",
    "### Organization\n",
    " - Registration procedure\n",
    " - Submission procedure\n",
    "\n",
    "## 1 Interactive WebApps and notebooks\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",
    "# **A BOND**\n",
    "\n",
    "## 2 Constant bond-slip law\n",
    "\n",
    "### Material\n",
    "\n",
    "- 2.1 [Pull-out of long fiber from rigid matrix](bmcs_course/2_1_PO_LF_LM_RG.ipynb)\n",
    "\n",
    "### Cross-section\n",
    "\n",
    "- 2.2 [Pull-out of long fiber from long elastic matrix](bmcs_course/2_2_PO_LF_LM_EL.ipynb)\n",
    "- 2.3 [Pull-out of short fiber from rigid matrix](bmcs_course/2_3_PO_SF_M_RG.ipynb)\n",
    "- 2.4 [Crack-bridge]\n",
    "- 2.5 [Comparison of several models](bmcs_course/2_4_PO_comparison.ipynb)\n",
    "\n",
    "### Structure \n",
    "\n",
    "- 2.6 [Anchorage]\n",
    "- 2.7 [Multiple cracking]\n",
    "\n",
    "## 3 Nonlinear bond-slip law\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",
    "## 4 Unloading, reloading and inelasticity\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",
    "## 5 Inelasticity modeled as damage\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",
    "# **B CRACK**\n",
    "\n",
    "## 6 Energy dissipation\n",
    "\n",
    "## 7 Crack propagation\n",
    "\n",
    "## 8 Cross section description\n",
    "\n",
    "# **C BEAM**\n",
    "\n",
    "## 9 Multiple cracking \n",
    "\n",
    "## 10 Bending \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **D DELIVERABLES**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 11 Seminar work"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 12 Summary od exam questions and tasks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Structural levels and the model components\n",
    "Stress redistribution processes - how do they affect the design principles?\n",
    " - ultimate limit state\n",
    " - serviceability limit state\n",
    " \n",
    " Minimialstic assumptions - nonlinear - multilinear stress-strain response of concrete, bond and brittle matrix "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Types of material behavior "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - nonlinearity hardening / softening\n",
    " - damage / plasticity\n",
    " - energy dissipation / fracture energy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Unloading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stable crack growth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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