Robust implementation of contact under friction and large sliding with the eXtended finite element method

An X-FEM formulation is proposed for the case of large sliding frictional interfaces. A continuous augmented lagrangian framework is adopted for contact and friction. We provide an algorithm for the selection of an appropriate discrete space for the lagrange multipliers, accounting for the transition between contact and free zones, and also between sliding and adherent zones. A 3D numerical test is realized with Code_Aster free software for the compression of a cylinder cut along a radial section and shows the ability of the model to capture such transitions.