Résumé
The purpose of this work is to present some mathematical and numerical results concerning an implicit method devoted to frictional contact problems. It has been implemented in a dynamical deep drawing simulation software (SIMEM3 Renault) where unilateral contact and dry friction is assumed between the metal sheet and the tools. The method may be viewed as a nonlinear block Gauss-Seidel algorithm. A convergence theorem is proved using nonsmooth analysis theory. Several numerical results are presented to illustrate the behaviour of this algorithm.