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Weak Formulations and Solution Multiplicityof Equilibrium Configurations with Coulomb Friction

Published online by Cambridge University Press:  27 January 2009

M. Bostan  and
P. Hild
M. Bostan
Affiliation:
Laboratoire de Mathématiques, Université de Franche-Comté CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France
P. Hild*
Affiliation:
Laboratoire de Mathématiques, Université de Franche-Comté CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France
*
patrick.hild@univ-fcomte.fr
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Abstract

This work is concerned with the equilibrium configurations of elastic structuresin contact with Coulomb friction. We obtain a variational formulation of thisequilibrium problem. Then we propose sufficient conditions for the existence ofan infinity of equilibrium configurations with arbitrary small frictioncoefficients. We illustrate the result in two space dimensions with asimple example.

Keywords

Coulomb frictionlinear elasticityequilibrium configurationsweakformulationscontinuum of solutions
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 4 , Issue 1: Modelling and numerical methods in contact mechanics , 2009 , pp. 147 - 162
Copyright
© EDP Sciences, 2009

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