Author(s)

G. Alduncin

Abstract

Numerical resolvent methods for contact problems in elastoviscoplasticity G. Alduncin Mexico D.F., Mexico I. INTRODUCTION In this paper, we apply resolvent methods for the numerical resolution of mixed finite element models of quasistatic contact problems in the context of elastoviscoplasticity. Resolvent methods have been proposed in [1] for gener- ating systematically iterative algorithms of Uzawa and penalty-duality type to mixed finite element approximations. Such methods consist in fixed point problem characterizations in terms of resolvent operators of (non necessarily potential) variational inequalities, in conjunction with proximal point algo- rithms. Applications to the viscoelastic two-body frictional contact problem have been recently reported in [2] where, as for the problems treated here, the penalty-duality type algorithms correspond to augmented Lagrangian methods because of their potentiality. The physical models to be considered cor r respond to solid bodies whose

Keywords