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A dynamic unilateral contact problem with adhesion and friction in viscoelasticity

Marius Cocou 1, 2, * Mathieu Schryve 2 Michel Raous 2 
* Corresponding author
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : The aim of this paper is to study an interaction law coupling recoverable adhesion, friction and unilateral contact between two viscoelastic bodies of Kelvin–Voigt type. A dynamic contact problem with adhesion and nonlocal friction is considered and its variational formulation is written as the coupling between an implicit variational inequality and a parabolic variational inequality describing the evolution of the intensity of adhesion. The existence and approximation of variational solutions are analysed, based on a penalty method, some abstract results and compactness properties. Finally, some numerical examples are presented.
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Marius Cocou, Mathieu Schryve, Michel Raous. A dynamic unilateral contact problem with adhesion and friction in viscoelasticity. Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2010, 61 (4), pp.721 - 743. ⟨10.1007/s00033-009-0027-x⟩. ⟨hal-00461928⟩

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