Etude mathématique de quelques problèmes en mécanique de contact

Abstract

The subject of this thesis is the mathematical study of some problems at contact limits in a dynamic or quasistatic process with boundary conditions, for which we couple both the damage of the material and the wear and the effect thermal or electrical. Thermo-elasto-viscoplastic, thermo-viscoelastic and electro-viscoelastic constitutive laws are considered. For each problem we obtain the variational formulation, then we establish the existence results and the uniqueness of the weak solution. The proofs are based on the results of nonlinear evolution inequalities of first orde, parabolic variational equations and inequalities and fixed point arguments