A Notion of Compliance Robustness in Topology Optimization

Samuel Amstutz (1, 2) , Marc Ciligot-Travain (1, 2)

1 LANLG - Laboratoire d'Analyse non linéaire et Géométrie
2 LMA - EA2151 Laboratoire de Mathématiques d'Avignon

The goal of this paper is twofold. On one hand, our work revisits the minimization of the robust compliance in shape optimization, with a more natural and more general approach than what has been done before. On the other hand, following a more recent viewpoint on robust optimization, we study the maximization of the so-called stability radius for a fixed maximal compliance. We provide theorical as well as numerical results.

Mots clés: Robustness; Stability radius; Topological derivative; Compliance; Topology Optimization

Domaines: Optimisation et contrôle [math.OC]

Samuel Amstutz, Marc Ciligot-Travain. A Notion of Compliance Robustness in Topology Optimization. ESAIM: Control, Optimisation and Calculus of Variations, 2016, 22 (1), pp.64-87. ⟨hal-00947108v2⟩