Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.engfracmech.2010.09.018
Title: A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media
Authors: Chen, L. 
Liu, G.R. 
Jiang, Y.
Zeng, K. 
Zhang, J. 
Keywords: Anisotropic
Crack
ES-FEM
Numerical method
Singularity
Issue Date: Jan-2011
Citation: Chen, L., Liu, G.R., Jiang, Y., Zeng, K., Zhang, J. (2011-01). A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media. Engineering Fracture Mechanics 78 (1) : 85-109. ScholarBank@NUS Repository. https://doi.org/10.1016/j.engfracmech.2010.09.018
Abstract: The recently developed edge-based smoothed finite element method (ES-FEM) is extended to fracture problems in anisotropic media using a specially designed five-node singular crack-tip (T5) element. In the formulation of singular ES-FEM, only the assumed displacement values (not the derivatives) on the boundaries of the smoothing domains are needed. Thus, a layer of T5 crack-tip element is devised to construct "singular" shape functions via a simple point interpolation with a fractional order basis, without mapping procedure. The effectiveness of the present singular ES-FEM is demonstrated by intensive examples for a wide range of degrees of anisotropy. © 2010 Elsevier Ltd.
Source Title: Engineering Fracture Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/50818
ISSN: 00137944
DOI: 10.1016/j.engfracmech.2010.09.018
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