Abstract
A multi-material Eulerian finite element formulation for contact with slip is proposed in this paper. Eulerian finite element methods, which are effective for large deformation problems and free-moving boundary problems, cannot simulate contact problems with slip using the mixture theory because it assumes fully bonded interfaces between materials. Considering the above backgrounds, we propose a new Eulerian formulation based on the phantom-node method to model discontinuous velocity fields across material interfaces for contact with slip. Material interfaces are defined by the 3D PLIC method and surface force vectors are introduced using a penalty method. The present approach is validated through simulations of contact problems.