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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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202110179 |
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| _version_ | 1849397855877332992 |
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| author | Amina Amassad Caroline Fabre |
| author_facet | Amina Amassad Caroline Fabre |
| author_sort | Amina Amassad |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a72c4a3bfacb459e9488673e36e48228 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a72c4a3bfacb459e9488673e36e482282025-08-20T03:38:49ZengWileyInternational 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 |
| spellingShingle | Amina Amassad Caroline Fabre Existence for viscoplastic contact with Coulomb friction problems International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Existence for viscoplastic contact with Coulomb friction problems |
| title_sort | existence for viscoplastic contact with coulomb friction problems |
| url | http://dx.doi.org/10.1155/S0161171202110179 |
| work_keys_str_mv | AT aminaamassad existenceforviscoplasticcontactwithcoulombfrictionproblems AT carolinefabre existenceforviscoplasticcontactwithcoulombfrictionproblems |