INTERFACE PROBLEM IN HOLONOMIC ELASTOPLASTICITY

The three-dimensional interface problem with the homogeneous Lame system in an unbounded exterior domain and holonomic material behaviour in a bounded interior Lipschitz domain is considered. Existence and uniqueness of solutions of the interface problem are obtained rewriting the exterior problem in terms of boundary integral operators following the symmetric coupling procedure. The numerical approximation of the solutions consists in coupling of the boundary element method (BEM) and the finite element method (FEM). A Cea-like error estimate is presented for the discrete solutions of the numerical procedure proving its convergence.