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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.
|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. https://doi.org/10.1142/S0219876210002131||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||URI:||http://scholarbank.nus.edu.sg/handle/10635/51305||ISSN:||02198762||DOI:||10.1142/S0219876210002131|
|Appears in Collections:||Staff Publications|
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