Title: Modeling crack in orthotropic media using a coupled finite element and partition of unity methods
Abstract: The problem of crack modeling in 2D orthotropic media is considered. The extended finite element method has been adopted for modeling and analyzing a crack and its domain numerically. In this method, first the finite element model without any discontinuities is created and then the two-dimensional asymptotic crack–tip displacement fields with a discontinuous function are added to enrich the finite element approximation using the framework of partition of unity. The main advantage is the ability of the method in taking into consideration a crack without any explicit meshing of the crack surfaces, and the growth of crack can readily be applied without any remeshing. Mixed-mode stress intensity factors (SIFs) are evaluated to determine the fracture properties of domain. The results of proposed method are compared with other available numerical or (semi-) analytical methods. The SIFs are obtained by means of the interaction integral (M-integral).
Publication Year: 2006
Publication Date: 2006-07-17
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 107
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