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Issue Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
Page(s) 147 - 162
DOI 10.1051/mmnp/20094107
Published online 27 January 2009

Math. Model. Nat. Phenom. Vol. 4, No. 1, 2009, pp. 147-162
DOI: 10.1051/mmnp/20094107

Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction

M. Bostan and P. Hild

Laboratoire de Mathématiques, Université de Franche-Comté CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France

patrick.hild@univ-fcomte.fr

Published online: 27 January 2009

Abstract
This work is concerned with the equilibrium configurations of elastic structures in contact with Coulomb friction. We obtain a variational formulation of this equilibrium problem. Then we propose sufficient conditions for the existence of an infinity of equilibrium configurations with arbitrary small friction coefficients. We illustrate the result in two space dimensions with a simple example.


Mathematics Subject Classification. 74G35, 74M10, 74M15

Key words: Coulomb friction -- linear elasticity -- equilibrium configurations -- weak formulations -- continuum of solutions


© EDP Sciences 2009


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