ANALYSIS OF VISCOPLASTIC CONTACT PROBLEM

In this paper, we analyze a quasistatic problem modeling frictional contact between viscoplastic body and an obstacle, the so called foundation. The material constitutive relation is assumed to be non-linear. boundary conditions of friction are modeled respectively by \textit{Signorini} generalized Coulomb's non-local law. We derive variational formulation for prove existence its unique weak solution. proof use, essentially, classical arguments compactness, inequalities Banach’s fixed point theorem.