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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 ofdoi:10.1090/qam/1359500 fatcat:lk5krixh3behndjz7wmzmshoam