Geodesic
A frictionless contact problem for elastic-viscoplastic materials with internal state variable
Lynda Selmani1
1 Department of Mathematics University of Setif 19000 Setif, Algeria
Applicationes Mathematicae, Tome 40 (2013) no. 1, pp. 1-20 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study a mathematical model for frictionless contact between an elastic-viscoplastic body and a foundation. We model the material with a general elastic-viscoplastic constitutive law with internal state variable and the contact with a normal compliance condition. We derive a variational formulation of the model. We establish existence and uniqueness of a weak solution, using general results on first order nonlinear evolution equations with monotone operators and fixed point arguments. Finally, we study the dependence of the solution on perturbations of contact conditions and prove a convergence result.
DOI : 10.4064/am40-1-1
Keywords: study mathematical model frictionless contact between elastic viscoplastic body foundation model material general elastic viscoplastic constitutive law internal state variable contact normal compliance condition derive variational formulation model establish existence uniqueness weak solution using general results first order nonlinear evolution equations monotone operators fixed point arguments finally study dependence solution perturbations contact conditions prove convergence result

Lynda Selmani 1

1 Department of Mathematics University of Setif 19000 Setif, Algeria 
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Lynda Selmani. A frictionless contact problem for elastic-viscoplastic materials with internal state variable. Applicationes Mathematicae, Tome 40 (2013) no. 1, pp. 1-20. doi: 10.4064/am40-1-1

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