Modeling via the internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity |
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| Institution: | 1. Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 1, I-27100 Pavia, Italy;2. DICATAM - Sezione di Matematica, Università di Brescia, Via Valotti 9, I-25133 Brescia, Italy;1. Institute of Bioengineering and CIBER BBN, University Miguel Hernández, Alicante, Spain;2. Department of Computer Technology, University of Alicante, Spain;3. Department of Electronics and Computer Technology, Technical University of Cartagena, Spain;1. University of Valencia, Department of Informatics, Spain;2. University of Valencia, Department of Statistics and Operations Research, Spain |
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| Abstract: | In this paper we introduce and investigate a model for adhesive contact with friction between a thermoviscoelastic body and a rigid support.A PDE system, consisting of the evolution equations for the temperatures in the bulk domain and on the contact surface, of the momentum balance, and of the equation for the internal variable describing the state of the adhesion, is derived on the basis of a surface damage theory by M. Frémond.The existence of global-in-time solutions to the associated initial–boundary value problem is proved by passing to the limit in a carefully tailored time-discretization scheme. |
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| Keywords: | Internal energy balance Adhesive contact Friction Thermoviscoelasticity Nonsmooth internal constraints Global-in-time existence of weak solutions |
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