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Article Dans Une Revue Mathematical Methods in the Applied Sciences Année : 2004

Sufficient conditions of non-uniqueness for the Coulomb friction problem

Résumé

We consider the Signorini problem with Coulomb friction in elasticity. Sufficient conditions of non-uniqueness are obtained for the continuous model. These conditions are linked to the existence of real eigenvalues of an operator in a Hilbert space. We prove that, under appropriate conditions, real eigenvalues exist for a non-local Coulomb friction model. Finite element approximation of the eigenvalue problem is considered and numerical experiments are performed.
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hal-04090894 , version 1 (10-05-2023)

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Riad Hassani, Patrick Hild, Ioan Ionescu. Sufficient conditions of non-uniqueness for the Coulomb friction problem. Mathematical Methods in the Applied Sciences, 2004, 27 (1), pp.47-67. ⟨10.1002/mma.438⟩. ⟨hal-04090894⟩
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