WIAS Preprint No. 1628, (2011)

Thermodynamics of multiphase problems in viscoelasticity



Authors

  • Paoli, Laetitia
  • Petrov, Adrien

2010 Mathematics Subject Classification

  • 35K55 74C05 74C10

2008 Physics and Astronomy Classification Scheme

  • 02.30.Jr

Keywords

  • Existence result, generalized standard materials, heat equation, enthalpy transformation, maximal monotone operators, doubly nonlinear equations, shape-memory alloys

Abstract

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 flow rule with the heat transfer equation. A global solution for this thermodynamically consistent problem is obtained by using a fixed-point argument combined with global energy estimates.

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