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On thermodynamically consistent models and gradient structures for thermoplasticity
Author(s) -
Mielke Alexander
Publication year - 2011
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201110008
Subject(s) - quasistatic process , formalism (music) , entropy production , entropy (arrow of time) , statistical physics , thermodynamics , boltzmann's entropy formula , classical mechanics , physics , art , musical , visual arts , boltzmann equation
It is investigated in what sense thermoplasticity can be written as a generalized gradient system with respect to the total entropy and the entropy‐production potential. The difficulty is that the quasistatic equilibrium equation for the elastic forces is obtained by minimizing the total energy and that this condition must be eliminated suitably. The subtle interplay between energy and entropy is treated via the formalism of GENERIC (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)