A class of implicit evolution inequalities and applications to dynamic contact problems

Marius Cocou 1
1 M&S - Matériaux et Structures
LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
Abstract : This paper deals with the analysis of a class of implicit variational inequalities which generalizes some dynamic contact problems coupling adhesion and friction between two viscoelastic bodies of Kelvin-Voigt type. Existence and uniqueness results are proved for a general system of evolution inequalities that constitutes a unified approach to study some complex dynamic surface interactions, including rebonding, debonding and friction conditions. The proofs are based on incremental formulations, several estimates, compactness arguments and a fixed point technique. These results are applied to dynamic frictional contact conditions with reversible adhesion and the coefficient of friction depending on the slip velocity.
Type de document :
Article dans une revue
Annals of the University of Bucharest. Mathematical series, București : Editura Universității din București, 2013, 4 (LXII) (1), pp.181-192
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Dernière modification le : lundi 27 juin 2016 - 12:07:36
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Marius Cocou. A class of implicit evolution inequalities and applications to dynamic contact problems. Annals of the University of Bucharest. Mathematical series, București : Editura Universității din București, 2013, 4 (LXII) (1), pp.181-192. <hal-00949617>

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