A singular ES-FEM for plastic fracture mechanics
A singular ES-FEM for plastic fracture mechanics
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DOI：
10.1016/j.cma.2011.06.001
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发表时间：
2011-10
影响因子：
7.2
通讯作者：
Yuming Jiang;Guifang Liu;Yong-Wei Zhang;Lei Chen;T. Tay
中科院分区：
文献类型：
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作者：
Yuming Jiang;Guifang Liu;Yong-Wei Zhang;Lei Chen;T. Tay
幂硬化材料裂纹尖端的应力应变场在r趋近于零时是奇异的，对结构的断裂和疲劳起着决定性的作用。为了有效地模拟裂纹尖端的应变和应力，我们发展了一个七节点奇异单元，其位移场包含HRR项和二阶项。基于边光滑有限元法（ES-FEM），构造了一种新的奇异元。通过在裂纹尖端设置一层奇异单元，基于小应变列式的ES-FEM可以很好地模拟裂纹尖端的塑性问题。文中给出了两个算例，并与其它方法进行了详细的比较。结果表明，本文方法的计算结果与参考解更为接近，表明了本文方法对裂纹尖端塑性场的适用性和有效性。
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.