Thermodynamics and analysis of rate-independent adhesive contact at small strains |
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| Authors: | Riccarda Rossi Tomáš Roubí?ek |
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| Institution: | a Dipartimento di Matematica, Università di Brescia, Via Valotti 9, I-25133 Brescia, Italyb Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republicc Institute of Thermomechanics of the ASCR, Dolejškova 5, CZ-182 00 Praha 8, Czech Republic |
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| 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. |
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| Keywords: | 35K85 49S05 74A15 74M15 80A17 |
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