Geodesic
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
M. Bostan1 ; P. Hild1
1 Laboratoire de Mathématiques, Université de Franche-Comté CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France
Mathematical modelling of natural phenomena, Tome 4 (2009) no. 1, pp. 147-162

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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.
DOI : 10.1051/mmnp/20094107

M. Bostan 1 ; P. Hild 1

1 Laboratoire de Mathématiques, Université de Franche-Comté CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France 
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M. Bostan; P. Hild. Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction. Mathematical modelling of natural phenomena, Tome 4 (2009) no. 1, pp. 147-162. doi: 10.1051/mmnp/20094107

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