This paper deals with the large-time analysis of a PDE system modelling contact with adhesion, in the case when thermal e ects are taken into account. The phenomenon of adhesive contact is described in terms of phase transitions for a surface damage model proposed by M. Frémond. Thermal e ects are governed by entropy balance laws. The resulting system is highly nonlinear, mainly due to the presence of internal constraints on the physical variables and the coupling of equations written in a domain and on a contact surface. We prove existence of solutions on the whole time interval (0;+1) by a double approximation procedure. Hence, we are able to show that solution trajectories admit cluster points which fulfil the stationary problem associ- ated with the evolutionary system, and that in the large-time limit dissipation vanishes.
|Titolo:||Long-time behaviour of a thermomechanical model for adhesive contact|
BONETTI, ELENA (Corresponding)
|Parole Chiave:||Contact with adhesion; Long-time behaviour; Nonlinear PDE system; Analysis; Applied Mathematics; Discrete Mathematics and Combinatorics|
|Settore Scientifico Disciplinare:||Settore MAT/05 - Analisi Matematica|
|Data di pubblicazione:||2011|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.3934/dcdss.2011.4.273|
|Appare nelle tipologie:||01 - Articolo su periodico|