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Frictional contact problem for elastic-viscoplastic materials with thermal effect

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  • Department of Mathematics, University of Setif, Setif 19000, Algeria

Online published: 2013-06-03

Abstract

A dynamic contact problem for elastic-viscoplastic materials with thermal effects is investigated. The contact is bilateral, and the friction is modeled with Tresca’s friction law with heat exchange. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear first order evolution inequalities, the equations with monotone operators, and the fixed point arguments. Finally, the continuous dependence of the solution on the friction yield limit is studied.

Cite this article

M. SELMANI;L. SELMANI . Frictional contact problem for elastic-viscoplastic materials with thermal effect[J]. Applied Mathematics and Mechanics, 2013 , 34(6) : 761 -776 . DOI: 10.1007/s10483-013-1705-7

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