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Title: A singular ES-FEM for plastic fracture mechanics
Authors: Jiang, Y.
Liu, G.R.
Zhang, Y.W.
Chen, L. 
Tay, T.E. 
Keywords: Crack tip
HRR solution
Plastic field
Singular behavior
Singular element
Strain smoothing
Issue Date: 15-Oct-2011
Citation: Jiang, Y., Liu, G.R., Zhang, Y.W., Chen, L., Tay, T.E. (2011-10-15). A singular ES-FEM for plastic fracture mechanics. Computer Methods in Applied Mechanics and Engineering 200 (45-46) : 2943-2955. ScholarBank@NUS Repository.
Abstract: The stress and strain fields around the crack tip for power hardening material, which are singular as r approaches zero, are crucial to fracture and fatigue of structures. To simulate effectively the strain and stress around the crack tip, we develop a seven-node singular element which has a displacement field containing the HRR term and the second order term. The novel singular element is formulated based on the edge-based smoothed finite element method (ES-FEM). With one layer of these singular elements around the crack tip, the ES-FEM works very well for simulating plasticity around the crack tip based on the small strain formulation. Two examples are presented with detailed comparison with other methods. It is found that the results of the presented singular ES-FEM are closer to reference solution, which demonstrates the applicability and the effectiveness of our method for the plastic field around the crack tip. © 2011 Elsevier B.V.
Source Title: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
DOI: 10.1016/j.cma.2011.06.001
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