Long-time behaviour of a thermomechanical model for adhesive contact (Rapporti tecnici, manuali, carte geologiche e tematiche e prodotti multimediali)

Type
Label
  • Long-time behaviour of a thermomechanical model for adhesive contact (Rapporti tecnici, manuali, carte geologiche e tematiche e prodotti multimediali) (literal)
Anno
  • 2009-01-01T00:00:00+01:00 (literal)
Alternative label
  • Bonetti E., Bonfanti G., Rossi R. (2009)
    Long-time behaviour of a thermomechanical model for adhesive contact
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Bonetti E., Bonfanti G., Rossi R. (literal)
Pagina inizio
  • 1 (literal)
Pagina fine
  • 37 (literal)
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  • http://semmat.dmf.unicatt.it/cgi-bin/preprintserv/semmat/Quad2009n14 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 14/2009 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#note
  • Quaderni del Seminario Matematico di Brescia, nr. 14. (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#supporto
  • Memorie interne (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Dipartimento di Matematica F. Casorati, Università di Pavia; Dipartimento di Matematica, Università di Brescia. (literal)
Titolo
  • Long-time behaviour of a thermomechanical model for adhesive contact (literal)
Abstract
  • This paper deals with the large-time analysis of a PDE system modelling contact with adhesion, in the case when thermal effects are taken into account. The phenomenon of adhesive contact is described in terms of phase transitions for a surface damage model proposed by M. Fremond. Thermal effects 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 positive time half-line by a double approximation procedure. Hence, we are able to show that solution trajectories admit cluster points which fulfil the stationary problem associated with the evolutionary system, and that in the large-time limit dissipation vanishes. (literal)
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