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

Abstract

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.

Keywords

• Thermodynamics
• analysis
• rate-independent
• adhesive
• contact
• small strain