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A simplified mesh‐free method with embedded discontinuities
Author(s) -
Wang H.,
Wang S.
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1221
Subject(s) - classification of discontinuities , discontinuity (linguistics) , cracking , structural engineering , spurious relationship , crack closure , representation (politics) , materials science , fracture mechanics , computer science , mechanics , mathematics , mathematical analysis , engineering , composite material , physics , machine learning , politics , law , political science
A simplified mesh‐free method with embedded discontinuities is presented. In this method, the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack surface is needed. The crack is modeled by a local enrichment of the test and trial functions with a sign function, so that the discontinuities are along the direction of the crack. The discontinuity consists of cohesive crack segments that pass through the entire domain of influence at the node. A set of cracking rules is developed to avoid spurious cracking. We show by numerical experiments that complicated crack patterns with branching cracks can be modeled independent of the mesh. Copyright © 2009 John Wiley & Sons, Ltd.