Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Interface problems in elastoviscoplasticity

Authors: Carsten Carstensen and Ernst P. Stephan
Journal: Quart. Appl. Math. 53 (1995), 633-655
MSC: Primary 73E60; Secondary 34G20, 35Q72, 73E50, 73Vxx
DOI: https://doi.org/10.1090/qam/1359500
MathSciNet review: MR1359500
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Abstract: 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 Poincaré-Steklov operator. This coupling approach uses the Calderón projector.

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DOI: https://doi.org/10.1090/qam/1359500
Article copyright: © Copyright 1995 American Mathematical Society

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