Frictionless contact problem for hyperelastic materials with interior point optimizer

Houssam Houssein 1 Simon Garnotel 2 Frédéric Hecht 1, 3
3 ALPINES - Algorithms and parallel tools for integrated numerical simulations
INSMI - Institut National des Sciences Mathématiques et de leurs Interactions, Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : 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.
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Houssam Houssein, Simon Garnotel, Frédéric Hecht. Frictionless contact problem for hyperelastic materials with interior point optimizer. 2019. ⟨hal-02355429⟩

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