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Alternative Title
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.
Keywords
Crack tip, HRR solution, Plastic field, Singular behavior, Singular element, Strain smoothing
Source Title
Computer Methods in Applied Mechanics and Engineering
Publisher
Series/Report No.
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Date
2011-10-15
DOI
10.1016/j.cma.2011.06.001
Type
Article