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Modeling via the internal energy balance and analysis of adhesive contact with friction in thermoviscoelasticity
- Publication Year :
- 2015
-
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. Fremond . 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.
- Subjects :
- Surface (mathematics)
Balance (metaphysics)
Materials science
Internal energy
Basis (linear algebra)
Friction
Applied Mathematics
Nonsmooth internal constraints
General Engineering
Internal energy balance
General Medicine
Adhesion
Mechanics
Domain (mathematical analysis)
Computational Mathematics
Adhesive contact
Global-in-time existence of weak solutions
Thermoviscoelasticity
Classical mechanics
Limit (mathematics)
Adhesive
General Economics, Econometrics and Finance
Analysis
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....cdbc456ba027955da30bd35cf58de288