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An Interface Problem in Solid Mechanics with a Linear Elastic and a Hyperelastic Material
Author(s) -
Carstensen Carsten
Publication year - 1993
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19931630122
Subject(s) - hyperelastic material , quasistatic process , mathematics , domain (mathematical analysis) , lipschitz continuity , nonlinear system , mathematical analysis , bounded function , lipschitz domain , interface (matter) , linear elasticity , homogeneous , boundary (topology) , type (biology) , boundary value problem , mechanics , finite element method , bubble , physics , ecology , quantum mechanics , maximum bubble pressure method , combinatorics , biology , thermodynamics
The three dimensional interface problem is considered with the homogeneous Lamé system in an unbounded exterior domain and some quasistatic nonlinear elastic material behavior in a bounded interior Lipschitz domain. The nonlinear material is of the Mooney‐Rivlin type of polyconvex materials. We give a weak formulation of the interface problem based on minimizing the energy, and rewrite it in terms of boundary integral operators. Then, we prove existence of solutions.