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Mathematical Modelling of Natural Phenomena (1)

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Weak Formulations and Solution Multiplicityof Equilibrium Configurations with Coulomb Friction
M. Bostan, P. Hild
Journal:

Mathematical Modelling of Natural Phenomena / Volume 4 / Issue 1 / 2009

Published online by Cambridge University Press:

27 January 2009, pp. 147-162

Print publication:

2009
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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.