ABSTRACT
This chapter presents a numerical analysis of a mathematical model that describes the unilateral quasistatic contact of two elastic-viscoplastic bodies. The contact is without friction and it is modeled by the classical Signorini boundary conditions. The chapter provides summarized accounts of contact problems and their numerical approximations. It analyzes the mathematical model describing the quasistatic unilateral contact without friction between two elastic-viscoplastic bodies. This model consists of an evolution equation coupled with a time-dependent variational inequality. The chapter presents results on numerical approximations of the mechanical problem that was analyzed.
