| Issue |
Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
|
|
|---|---|---|
| Page(s) | 147 - 162 | |
| DOI | https://doi.org/10.1051/mmnp/20094107 | |
| Published online | 27 January 2009 | |
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
Laboratoire de Mathématiques, Université de Franche-Comté
CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France
Corresponding author: patrick.hild@univ-fcomte.fr
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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