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Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2006

A uniqueness criterion for the Signorini problem with Coulomb friction

Yves Renard

Résumé

The purpose of this paper is to study the solutions to the Signorini problem with Coulomb friction (the so-called Coulomb problem). Some optimal a priori estimates are given, and a uniqueness criterion is exhibited. Recently, nonuniqueness examples have been presented in the continuous framework. It is proved, here, that if a solution satisfies a certain hypothesis on the tangential displacement and if the friction coefficient is small enough, it is the unique solution to the problem. In particular, this result can be useful for the search of multisolutions to the Coulomb problem because it eliminates a lot of uniqueness situations.
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Dates et versions

hal-00690595 , version 1 (19-04-2018)

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  • HAL Id : hal-00690595 , version 1

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Yves Renard. A uniqueness criterion for the Signorini problem with Coulomb friction. SIAM Journal on Mathematical Analysis, 2006, 38 (2), pp.452-467. ⟨hal-00690595⟩
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