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Simulation of crack–propagation using embedded discontinuities
Author(s) -
Peters M.,
Hoppe U.,
Hackl K.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410164
Subject(s) - classification of discontinuities , microscale chemistry , polygon mesh , finite element method , extended finite element method , structural engineering , computer science , mechanism (biology) , materials science , mechanics , engineering , mathematics , physics , mathematical analysis , computer graphics (images) , mathematics education , quantum mechanics
The transition from microscale damage phenomena to crack initiation and growth at the macroscale is an important mechanism which constrains the lifetime of concrete structures. Analysing crack growth using the finite element method without enhancement of the shape functions is possible only by continuously updating the corresponding meshes, which constitutes a significant computational effort. But even then the results can be substantially mesh–dependent and hard to interpret. The extended Finite Element Method (XFEM) uses additional discontinuous shape–functions and is one possibility to overcome these problems. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)