• Medientyp: E-Artikel; Sonstige Veröffentlichung
  • Titel: Thermodynamics of multiphase problems in viscoelasticity
  • Beteiligte: Paoli, Laetitia [VerfasserIn]; Petrov, Adrien [VerfasserIn]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2012
  • Sprache: Englisch
  • DOI: https://doi.org/10.1002/gamm.201210006
  • Schlagwörter: article ; Existence result -- generalized standard materials -- heat equation -- enthalpy transformation -- maximal monotone operators -- doubly nonlinear equations -- shape-memory alloys
  • Entstehung:
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  • Beschreibung: This paper deals with a three-dimensional mixture model describing materials undergoing phase transition with thermal expansion. The problem is formulated within the framework of generalized standard solids by the coupling of the momentum equilibrium equation and the ßow rule with the heat transfer equation. A global solution for this thermodynamically consistent problem is obtained by using a Þxed-point argument combined with global energy estimates.