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Thermodynamics of multiphase problems in viscoelasticity

Please always quote using this URN:urn:nbn:de:0296-matheon-8846
  • 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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Metadaten
Author:Laetitia Paoli, Adrien Petrov
URN:urn:nbn:de:0296-matheon-8846
Referee:Ralf Kornhuber
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2011/08/16
Release Date:2011/08/16
Tag:Existence result; doubly nonlinear equations; enthalpy transformation; generalized standard materials; heat equation; maximal monotone operators; shape-memory alloys
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Kxx Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 58J35] / 35K55 Nonlinear parabolic equations
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C10 Small-strain, rate-dependent theories (including theories of viscoplasticity)
Preprint Number:815
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