Minimum stress optimal design with the level set method

Grégoire Allaire (1) , François Jouve

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

This paper is devoted to minimum stress design instructural optimization. We propose a simple andefficient numerical algorithm for shape and topologyoptimization based on the level set method coupledwith the topological derivative. We compute ashape derivative, as well as a topological derivative,for a stress-based objective function. Using anadjoint equation we implement a gradient algorithmfor the minimization of the objective function.Several numerical examples in 2-d and 3-d are discussed.

Domaines: Analyse numérique [math.NA]

Grégoire Allaire, François Jouve. Minimum stress optimal design with the level set method. Engineering Analysis with Boundary Elements, 2008, 32, pp.909-918. ⟨hal-01089075⟩