Description

• Title:
  Thermo-visco-elasticity for models with growth conditions in Orlicz spaces
• Creator:
  Klawe, Filip
• Description:
  We study a quasi-static evolution of the thermo-visco-elastic model. We act with external forces on a non-homogeneous material body, which is a subject of our research. Such action may cause deformation of this body and may change its temperature. Mechanical part of the model contains two kinds of deformation: elastic and visco-elastic. The mechanical deformation is coupled with temperature and both of them may influence each other. Since the constitutive function on evolution of the visco-elastic deformation depends on temperature, the visco-elastic properties of material also depend on temperature. We consider the thermodynamically complete model related to a hardening rule with growth condition in generalized Orlicz spaces. We provide the proof of existence of solutions for such class of models.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 47, No 2 (June 2016); 457 - 497;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.006/7816 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.006/7817
• Subject:
  Visco-elasticity;
  thermal effects;
  Galerkin approximation;
  monotonicity method;
  renormalizations;
  generalized Orlicz space;
  74C10;
  35Q74;
  74F05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.006
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other