Existence for problems of viscoplastic contact with Coulomb friction (Q1854160)

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scientific article; zbMATH DE number 1852896
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Existence for problems of viscoplastic contact with Coulomb friction
scientific article; zbMATH DE number 1852896

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    Existence for problems of viscoplastic contact with Coulomb friction (English)
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    13 January 2003
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    Summary: We present existence results for nonlinear problem of frictional contact between an elastic-viscoplastic body and a rigid obstacle. We model the frictional contact both by a Tresca's friction law and by a regularized Coulomb's law. We assume that the contact is bilateral and that no separation takes place. We consider Signorini unilateral contact conditions. Proofs are based on a time-discretization method, and on Banach and Schauder fixed point theorems.
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    existence
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    nonlinear frictional contact
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    elastic-viscoplastic body
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    rigid obstacle
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    Tresca's friction law
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    regularized Coulomb's law
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    Signorini unilateral contact conditions
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    time-discretization method
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    Schauder fixed point theorem
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    Banach fixed point theorem
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