A Gauss-Seidel like algorithm to solve frictional contact problems Original Research Article

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.