Existence for viscoplastic contact with Coulomb friction problems

Existence for viscoplastic contact with Coulomb friction problems

We present existence results in the study of 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 a regularized Coulomb's law. We assume, in a first part, that the contact is b...

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Main Authors: Amina Amassad, Caroline Fabre
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202110179
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spelling doaj-a72c4a3bfacb459e9488673e36e482282020-11-24T22:31:30ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0132741143710.1155/S0161171202110179Existence for viscoplastic contact with Coulomb friction problemsAmina Amassad0Caroline Fabre1Université de Nice-Sophia Antipolis, Laboratoire de Mathématiques J.A. Dieudonné, UMR 66 21 du CNRS, Parc Valrose, Nice Cedex 2 06108, FranceUniversité de Nice-Sophia Antipolis, Laboratoire de Mathématiques J.A. Dieudonné, UMR 66 21 du CNRS, Parc Valrose, Nice Cedex 2 06108, FranceWe present existence results in the study of 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 a regularized Coulomb's law. We assume, in a first part, that the contact is bilateral and that no separation takes place. In a second part, we consider the Signorini unilateral contact conditions. Proofs are based on a time-discretization method, Banach and Schauder fixed point theorems.http://dx.doi.org/10.1155/S0161171202110179
collection DOAJ
language English
format Article
sources DOAJ
author Amina Amassad
Caroline Fabre
spellingShingle Amina Amassad
Caroline Fabre
Existence for viscoplastic contact with Coulomb friction problems
International Journal of Mathematics and Mathematical Sciences
author_facet Amina Amassad
Caroline Fabre
author_sort Amina Amassad
title Existence for viscoplastic contact with Coulomb friction problems
title_short Existence for viscoplastic contact with Coulomb friction problems
title_full Existence for viscoplastic contact with Coulomb friction problems
title_fullStr Existence for viscoplastic contact with Coulomb friction problems
title_full_unstemmed Existence for viscoplastic contact with Coulomb friction problems
title_sort existence for viscoplastic contact with coulomb friction problems
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2002-01-01
description We present existence results in the study of 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 a regularized Coulomb's law. We assume, in a first part, that the contact is bilateral and that no separation takes place. In a second part, we consider the Signorini unilateral contact conditions. Proofs are based on a time-discretization method, Banach and Schauder fixed point theorems.
url http://dx.doi.org/10.1155/S0161171202110179
work_keys_str_mv AT aminaamassad existenceforviscoplasticcontactwithcoulombfrictionproblems
AT carolinefabre existenceforviscoplasticcontactwithcoulombfrictionproblems
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