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

Alassane Sy (1) , Yves Renard (2, 3)

1 UADB - Université Alioune Diop de Bambey
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 ICJ - Institut Camille Jordan

In 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.

Mots clés: shape optimization; topology optimization; fictitious domain approach; Xfem method; Hamilton-Jacobi equation; numerical result

Domaines: Analyse numérique [math.NA]

Alassane Sy, Yves Renard. A fictitious domain approach for structural optimization with coupling between shape and topological gradient. Far East Journal of Mathematical Sciences, 2010, 47 (1), pp.33-50. ⟨hal-00690464⟩