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Contact between nonlinearly elastic bodies

Published online by Cambridge University Press:  12 July 2007

Daniel Habeck  and
Friedemann Schuricht
Daniel Habeck
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86—90, 50931 Köln, Germanydhabeck@math.uni-koeln.de;
Friedemann Schuricht
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86—90, 50931 Köln, Germanyfs@math.uni-koeln.de
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Abstract

We study the contact between nonlinearly elastic bodies by variational methods. After the formulation of the mechanical problem, we provide existence results based on polyconvexity and on quasiconvexity. We then derive the Euler—Lagrange equation as a necessary condition for minimizers. Here Clarke's generalized gradients are an essential tool for treating the nonsmooth obstacle condi

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 6 , December 2006 , pp. 1239 - 1266
Copyright
Copyright © Royal Society of Edinburgh 2006

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