Stabilizing the XFEM for static and dynamic crack simulations | Zendy

Loehnert Stefan | Zendy

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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)

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