Variational and Numerical Analysis of the Signorini’s Contact Problem in Viscoplasticity with Damage
نویسندگان
چکیده
We consider the quasistatic Signorini’s contact problem with 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 modeled by an inclusion of parabolic type. We provide a variational formulation for the mechanical problem and sketch a proof of the existence of a uniqueweak solution of themodel.We then introduce and study a fully discrete scheme for the numerical solutions of the problem. An optimal order error estimate is derived for the approximate solutions under suitable solution regularity. Numerical examples are presented to show the performance of the method.
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