Thermodynamics and analysis of rate-independent adhesive contact at small strains

Details Thermodynamics and analysis of rate-independent adhesive contact at small strains Thermodynamics and analysis of rate-independent adhesive contact at small strains

2010-04-21

arxiv.org/abs/1004.3764v1

Mathematics

Analysis of PDEs

Scientific paper

We address a model for adhesive unilateral frictionless Signorini-type contact between bodies of heat-conductive viscoelastic material, in the linear Kelvin-Voigt rheology, undergoing thermal expansion. The flow-rule for debonding the adhesion is considered rate-independent and unidirectional, and a thermodynamically consistent model is derived and analysed as far as the existence of a weak solution is concerned.

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