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Dual‐weighted residual adaptivity for phase‐field fracture propagation
Author(s) -
Wick Thomas
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510299
Subject(s) - residual , estimator , fracture mechanics , field (mathematics) , focus (optics) , phase (matter) , dual (grammatical number) , fracture (geology) , mechanics , method of mean weighted residuals , materials science , mathematics , structural engineering , physics , engineering , algorithm , finite element method , composite material , statistics , optics , quantum mechanics , galerkin method , pure mathematics , art , literature
In this study, we consider phase‐field‐based fracture propagation in solid mechanics. The phase‐field model is based on a thermodynamically‐consistent version proposed by Miehe, Welschinger, Hofacker. The main focus is on goal‐oriented functional evaluations using a partition‐of‐unity dual‐weighted residual estimator for accurate measurement of, for example, point values, stresses, or crack opening displacements. Our developments are substantiated with a numerical test. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)