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Title: A novel general formulation for singular stress field using the ES-FEM method for the analysis of mixed-mode cracks
Authors: Liu, G.R. 
Nourbakhshnia, N.
Chen, L. 
Zhang, Y.W. 
Keywords: Mesh free method
Mixed mode crack problems
Singular smoothed finite element method
Smoothed finite element method
Issue Date: Mar-2010
Citation: Liu, G.R., Nourbakhshnia, N., Chen, L., Zhang, Y.W. (2010-03). A novel general formulation for singular stress field using the ES-FEM method for the analysis of mixed-mode cracks. International Journal of Computational Methods 7 (1) : 191-214. ScholarBank@NUS Repository.
Abstract: This paper presents a general formulation for simulating the singular stress field at the vicinity of the crack-tip for linear fracture mechanics problems, based on the edge-based smoothed finite element method (ES-FEM) settings. This novel "singular ES-FEM" makes use of the unique feature offered by the ES-FEM that only the assumed displacement values (not the derivatives) are required to compute the stiffness matrix of the discretized system. The present singular ES-FEM method uses a basic mesh of linear triangular elements and a layer of novel "five-noded crack-tip elements" sharing the crack-tip node. The five-noded crack-tip element has one additional node on each of the edges connected to the crack-tip, and the locations of the "edge-node" can be arbitrary. A number of examples are analyzed and the results demonstrate that the present singular ES-FEM is generally softer and much more accurate than the existing FEM. The stress intensity factors obtained using the singular ES-FEM are very stable for different area-integration paths designed around the crack-tip. The present singular ES-FEM is found an excellent alternative to the standard FEM for fracture problems. © 2010 World Scientific Publishing Company.
Source Title: International Journal of Computational Methods
ISSN: 02198762
DOI: 10.1142/S0219876210002131
Appears in Collections:Staff Publications

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