| Article ID: | iaor20126921 |
| Volume: | 46 |
| Issue: | 6 |
| Start Page Number: | 813 |
| End Page Number: | 827 |
| Publication Date: | Dec 2012 |
| Journal: | Structural and Multidisciplinary Optimization |
| Authors: | Wein Fabian, Schury Fabian, Stingl Michael |
| Keywords: | heuristics, design |
We investigate a class of constrained inverse homogenization problems. The complexity of the topological solution is restricted using slope constraint regularization. We show existence of the solution for the inverse optimization problem in function space and outline a converging approximation scheme. We demonstrate how a proper numerical implementation can lead to a stable material design approach. We finally describe results for a comprehensive set of numerical test cases.