Complementarity methods for multibody friction contact problems in finite deformations

This paper deals with the frictional contact occurring between deformable elastoplastic bodies subjected to large displacements and nite deformations. Starting from a standard slave=master formulation we have developed a symmetrical formulation with which the unilateral contact conditions and the friction law are satis ed for each body. From the continuum equations, the discretized frictional contact problem is set as a complementarity problem and solved using Lemkeʹs mathematical programming method. The e ciency of the method is illustrated in the case of several examples