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

  

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.

Convergence

The below plots shows the evolution of the objective function (i.e. strain energy) over the bead optimization iterations.