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

Marius Cocou (1)

1 M&S - Matériaux et Structures

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.

Domaines: Mécanique des solides [physics.class-ph]

Marius Cocou. A class of implicit evolution inequalities and applications to dynamic contact problems. Annals of the University of Bucharest. Mathematical series, 2013, 4 (LXII) (1), pp.181-192. ⟨hal-00949617⟩