We study a quasistatic frictionless contact problem with normal compliance and damage for elastic-viscoplastic bodies. The mechanical damage of the material, caused by excessive stress or strain, is described by a damage function whose evolution is modelled by an inclusion of parabolic type. We provide a variational formulation for the mechanical problem and sketch a proof of the existence of unique weak solution to the model. We then introduce and study a fully discrete scheme for the numerical solutions of the problem.
展开▼
