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On rate independent models for crack propagation
Author(s) -
Knees Dorothee,
Mielke Alexander,
Zanini Chiara
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810213
Subject(s) - limit (mathematics) , minification , process (computing) , energy (signal processing) , energy minimization , mathematics , computer science , statistical physics , mathematical optimization , physics , mathematical analysis , statistics , quantum mechanics , operating system
We model the evolution of a single crack as a rate–independent process based on the Griffith criterion. Three approaches are presented, namely a model based on global energy minimization, a model based on a local description involving the energy release rate and a refined local model which is the limit problem of regularized, viscous models. Finally we present an example which sheds light on the different predictions of the models. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)