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Thermodynamically consistent temperature prediction in dissipative solids
Author(s) -
Bartels Alexander,
Mosler Jörn
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310111
Subject(s) - dissipative system , thermodynamics , work (physics) , dissipation , second law of thermodynamics , coupling (piping) , materials science , constant (computer programming) , statistical physics , mechanics , physics , computer science , metallurgy , programming language
The present work deals with the thermomechanical coupling in dissipative solids and the consistent temperature prediction. One of the first works dealing with this subject was written by Taylor & Quinney (TQ) where the fraction between dissipated energy eventually transformed to heat and plastic work is assumed as constant (typically between 0.8‐1.0 for metals). Although this assumption often leads to reasonable temperature predictions, it is not always in agreement with experimental observations. Furthermore, the TQ model does not comply with the first and second law of thermodynamics in general. Unfortunately, a standard thermodynamically consistent framework is not convincing either, since it usually leads to a significant overprediction of the temperature increase during dissipative processes. Within the present work, a novel framework suitable for the modeling of thermomechanically coupled processes is discussed. It will be shown that this framework is thermodynamically consistent and leads to a temperature increase, as a result of plastic deformation, in good agreement with the underlying experiments. (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)