Résolution numérique d'un problème de contact entre corps élasto-viscoplastiques et maillages éléments finis incompatibles

Abstract

We consider a quasistatic frictionless unilateral contact problem between two elastic-viscoplastic bodies. The corresponding time-dependent variational inequality is approximated in the space variable with nonconforming finite element methods which allow the handling of nonmatching meshes on the contact part. A backward Euler scheme is used for the time discretization. We show the existence and uniqueness of the discrete solution and the convergence towards the continuous solution is obtained. Finally, some corresponding numerical results are shown.