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Global existence result for rate‐independent processes in viscous solids with heat transfer
Author(s) -
Paoli Laetitia,
Petrov Adrien
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110332
Subject(s) - heat transfer , thermodynamics , coupling (piping) , momentum (technical analysis) , argument (complex analysis) , flow (mathematics) , fixed point , mathematics , physics , mechanics , chemistry , mathematical analysis , materials science , economics , biochemistry , finance , metallurgy
This note deals with three‐dimensional models for rate‐independent processes describing materials undergoing phase transformations with heat transfer. 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. The existence of a global solution for this thermodynamically consistent problem is obtained by using a fixed‐point argument combined with global energy estimates. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)