INTERFACE PROBLEMS IN ELASTOVISCOPLASTICITY

This paper is concerned with three-dimensional interface (or transmiss ion) problems in solid mechanics that consist of time-dependent nonlin ear problems in a bounded Lipschitz domain and the homogeneous linear elasticity problem in an unbounded exterior domain. The exterior part of the interface problem is rewritten with integral operators on the i nterface boundary using the Poincare-Steklov operator. This coupling a pproach uses the Calderon projector. We show existence and uniqueness of solutions for three models in elasto-viscoplasticity, namely Groger 's model, Maxwell material, and material of the generalized Burger typ e. Finally, we sketch corresponding numerical approximation procedures that are a coupling of finite elements and boundary elements in space and difference schemes in time.