Interface problems in elastoviscoplasticity

Carsten Carstensen, Ernst P. Stephan
1995 Quarterly of Applied Mathematics  
This paper is concerned with three-dimensional interface (or transmission) problems in solid mechanics that consist of time-dependent nonlinear 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 interface boundary using the Poincare-Steklov operator. This coupling approach uses the Calderon projector. We show existence and uniqueness of
more » ... niqueness of solutions for three models in elasto-viscoplasticity, namely Groger's model, Maxwell material, and material of the generalized Burger type. Finally, we sketch corresponding numerical approximation procedures that are a coupling of finite elements and boundary elements in space and difference schemes in time.
doi:10.1090/qam/1359500 fatcat:lk5krixh3behndjz7wmzmshoam