Monday, 15:15 - 15:40 h, Room: MA 415

 

Kevin Sturm
Shape optimization for an interface problem in linear elasticity for distortion compensation

Coauthors: Michael Hintermüller, Dietmar Hömberg

 

Abstract:
In this talk I will introduce a sharp interface model describing a workpiece made of steel. In the heat treatment of steel different phases e.g., martensite and pearlite can be produced in the workpiece. The goal of my work is to obtain a desired workpiece shape by controlling the final phase distribution. Therefore our control variables are sets and thus we have to consider a shape optimization problem. I will show how one can derive the shape derivative for this problem, which then can be used to solve the shape optimization problem approximately. Moreover, numerical results for different workpiece shapes in two dimensions will be presented.

 

Talk 1 of the invited session Mon.3.MA 415
"Numerical methods in shape and topology optimization" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]

 

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