A stabilized P1/P1 finite element for the mechanical analysis of solid metals

The aim of this paper is to propose a stabilized finite element P1/ P1 and to show that it is well suited for the finite-strain analysis of solid metals in the context of large von Mises elasto-viscoplastic or elasto-plastic transformations. The first part of this paper is dedicated to the finite element formulation which is detailed for an elasto-viscoplastic model problem. Then, a new stabilized formulation is proposed for the pressure solution. In the last part, examples are presented to show the relevance of the finite element P1/ P1 developed.