Mathematical Modelling of Natural Phenomena
- Mathematical Modelling of Natural Phenomena 2009 4 (01) : pp 147-162
- © EDP Sciences, 2009
- DOI: 10.1051/mmnp/20094107 (About DOI)
- Published online by Cambridge University Press: 31 January 2011
Table of Contents - 2009 - Volume 4, Issue 01 (Modelling and numerical methods in contact mechanics)
Research Article
Weak Formulations and Solution Multiplicity of Equilibrium Configurations with Coulomb Friction
M. Bostana1 and P. Hilda1
a1 Laboratoire de Mathématiques, Université de Franche-Comté CNRS UMR 6623, 16 route de Gray, 25030 Besançon, France
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.
(Online publication January 27 2009)
Key Words:
- Coulomb friction;
- linear elasticity;
- equilibrium configurations;
- weak formulations;
- continuum of solutions
Mathematics Subject Classification:
- 74G35;
- 74M10;
- 74M15
Correspondence:
