Analyse numérique de quelques problèmes de contact

Abstract

In this thesis, we prove the convergence of a new variational formulation deduced from the one of the Hypersphere Dirichlet-Neumann type method. This approach allows a unilateral contact problem. The idea is to replace the problem in the proposed approach by a variational inequality using the nonconforming finite element method within the anti-plane strain scheme. We study the static processes for electro-elastic materials. The o b t a i n e d results concern the existence and the uniqueness of weak solutions.