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Energy‐consistent time‐integration for a dynamic finite deformation thermoviscoelastic continuum
Author(s) -
Krüger Melanie,
Groß Michael,
Betsch Peter
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210087
Subject(s) - integrator , formalism (music) , physics , classical mechanics , double pendulum , mathematics , mathematical analysis , algorithm , statistical physics , computer science , inverted pendulum , quantum mechanics , art , musical , voltage , nonlinear system , visual arts
The main goal of the present work is to develop a structure‐preserving time integrator, which is based on the works of Öttinger [2] (GENERIC formalism) and Romero [4] (Thermodynamically consistent (TC) algorithm). This intergator is called the enhanced TC algorithm for thermoviscoelastic continuums. The underlying structure is then called enhanced GENERIC, analogously to the earlier puplished thermoviscoelastic double pendulum of Krüger et al. [1]. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)