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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Cocou, M., Schryve, M. & Raous, M. A dynamic unilateral contact problem with adhesion and friction in viscoelasticity. Z. Angew. Math. Phys. 61, 721–743 (2010). https://doi.org/10.1007/s00033-009-0027-x
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DOI: https://doi.org/10.1007/s00033-009-0027-x