A fictitious domain approach for structural optimization with coupling between shape and topological gradient

International audienceIn this paper, we focus on numerical aspects of structural optimization. We combine shape and topological optimization of structure with a fictitious domain approach. After recalling some standard results of shape and topological optimization, we build an algorithm inspired from the extended finite elements method (Xfem) principles and give some numerical results. Numerical results confirm that the method is efficient and gives better result compared with the classical shape optimization techniques