Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.engfracmech.2009.11.004
Title: A novel singular ES-FEM method for simulating singular stress fields near the crack tips for linear fracture problems
Authors: Liu, G.R. 
Nourbakhshnia, N.
Zhang, Y.W. 
Keywords: Edge-based smoothed finite element method (ES-FEM)
Finite element method (FEM)
Mesh free method
Numerical method
Singular ES-FEM
Issue Date: Apr-2011
Source: Liu, G.R., Nourbakhshnia, N., Zhang, Y.W. (2011-04). A novel singular ES-FEM method for simulating singular stress fields near the crack tips for linear fracture problems. Engineering Fracture Mechanics 78 (6) : 863-876. ScholarBank@NUS Repository. https://doi.org/10.1016/j.engfracmech.2009.11.004
Abstract: This paper presents a novel numerical method for effectively simulating the singular stress field for mode-I fracture problems based on the edge-based smoothed finite element method (ES-FEM). Using the unique feature of the ES-FEM formulation, we need only the assumed displacement values (not the derivatives) on the boundary of the smoothing domains, and hence a new technique to construct singular shape functions is devised for the crack tip elements. Some examples have demonstrated that results of the present singular ES-FEM in terms of strain energy, displacement and J-integral are much more accurate than the finite element method using the same mesh. © 2009 Elsevier Ltd.
Source Title: Engineering Fracture Mechanics
URI: http://scholarbank.nus.edu.sg/handle/10635/51307
ISSN: 00137944
DOI: 10.1016/j.engfracmech.2009.11.004
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