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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 |
Appears in Collections: | Staff Publications |
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