ON THE ANALYSIS OF A VISCOPLASTIC CONTACT PROBLEM WITH TIME DEPENDENT TRESCA’S FRIC-

Abstract: This paper deals with the study of a nonlinear problem of frictional contact between an elastic-viscoplastic body and a rigid obstacle. We model the frictional contact by a version of Tresca’s friction law where the friction bound de-pends on time. Firstly, we obtain an existence and uniqueness result in a weak sense for a model including the bilateral contact. To this end we use a time discretization method and the Banach fixed point theorem. Secondly, we show an existence result for a mechanical problem with the unilateral contact conditions (Signorini’s contact) using an iterative method