Frictionless contact problem for hyperelastic materials with interior point optimizer

Houssam Houssein (1) , Simon Garnotel (2) , Frédéric Hecht (1, 3)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
2 Airthium SAS
3 ALPINES - Algorithms and parallel tools for integrated numerical simulations

This paper presents a method to solve the mechanical problems undergoing finite deformations and the unilateral contact problems without friction for hyperelastic materials. We apply it to an industrial application: contact between a mechanical gasket and an obstacle. The main idea is to formulate the contact problem into an optimization's one, in order to use the Interior Point OPTimizer (IPOPT) to solve it. Finally, the FreeFEM software is used to compute and solve the contact problem. Our method is validated against several benchmarks and used on an industrial application example.

Mots clés: Frictionless; IPOPT; Hertz; Interior point; Unilateral; Contact problems

Domaines: Modélisation et simulation; Mécanique des solides [physics.class-ph]

Houssam Houssein, Simon Garnotel, Frédéric Hecht. Frictionless contact problem for hyperelastic materials with interior point optimizer. 2019. ⟨hal-02355429⟩