02_Strain_Energy_Minimization_3D_Shell (#72)

* Adding 3D Shell example * Objective graph & setup image * deleting unused images * Update shape_optimization/.gitignore Co-authored-by: Rahul Kikkeri Nagaraja <[email protected]> Co-authored-by: Armin Geiser <[email protected]>
KratosMultiphysics · Oct 1, 2020 · 59490e4 · 59490e4
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diff --git a/shape_optimization/02_Strain_Energy_Minimization_3D_Shell/README.md b/shape_optimization/02_Strain_Energy_Minimization_3D_Shell/README.md
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+# Shape Optimization
+Unconstrained strain energy minimization of a 3D Shell
+
+> **Author**: Armin Geiser
+>
+> **Kratos version**: 9.0
+
+## Optimization Problem
+
+### Objective
+- Minimize strain energy
+
+### Constraints
+- no constraints
+
+  <p align="center">
+    <img src="images/3DshellOpt_setup.png" width="800">
+  </p>
+
+## Optimization settings
+- Algorithm type : `steepest_descent`
+- Number of steps : `100`
+- Step size : `0.1`
+- Filter radius : `3.0`
+- Mesh motion : `False`
+
+## Results
+
+### Shape Evolution
+The below image shows the evolution (shape) of the 3D Shell during the optimization iterations.
+
+<p align="center">
+    <img src="images/3DshellOpt_results.gif" width="800">
+</p>
+
+### Convergence
+The below plots shows the evolution of the objective function (i.e. strain energy) over the bead optimization iterations.
+
+<p align="center">
+    <img src="images/3DshellOpt_plot.svg" height="650">
+</p>
+