Locking materials and the topology of optimal shapes

Frederic Golay (1) , Pierre Seppecher (1)

1 IMATH - Institut de Mathématiques de Toulon - EA 2134

We study a problem of structural optimisation using the fictitious material approach. This is connected with the equilibrium of locking materials, which can be approximated by strongly non linear materials. A finite element simulation allows us to experiment with some conjectures about the topology of the optimal solutions.

Mots clés: shape optimisation; locking material; topological optimisation; fictitious material; finite elements

Domaines: Mécanique [physics.med-ph]

Frederic Golay, Pierre Seppecher. Locking materials and the topology of optimal shapes. European Journal of Mechanics - A/Solids, 2001, 20 (4), pp.631-644. ⟨hal-00528969⟩