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Stabilizing the XFEM for static and dynamic crack simulations
Author(s) -
Loehnert Stefan
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510059
Subject(s) - extended finite element method , nonlinear system , fracture mechanics , dynamic problem , structural engineering , fracture (geology) , computer science , materials science , mechanics , finite element method , physics , engineering , algorithm , composite material , quantum mechanics
For many crack geometries the standard XFEM may lead to badly conditioned equation systems. Recently a number of remedies to that problem have been published. In this contribution the stabilization technique presented in [1] is extended to dynamic and possibly nonlinear fracture mechanics and additionally combined with the SGFEM / SXFEM [2]. The performance of the different strategies is demonstrated in a linear elastic 3D mode 1 crack problem for which the analytical solution exists. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)