Structural optimization using sensitivity analysis and a level-set method
Résumé
In the context of structural optimization we propose a new numericalmethod based on a combination of the classical shape derivative and ofthe level-set method for front propagation. We implement this methodin two and three space dimensions for a model of linear or nonlinearelasticity. We consider various objective functions with weight andperimeter constraints. The shape derivative is computed by an adjointmethod. The cost of our numerical algorithm is moderate since theshape is captured on a fixed Eulerian mesh. Although this method isnot specifically designed for topology optimization, it can easilyhandle topology changes. However, the resulting optimal shape isstrongly dependent on the initial guess.
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