比例边界有限元模拟裂纹和夹杂动力相互作用

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摘要

基于三角形背景网格，任意结构可用（）边多边形比例边界有限元（Polygon Scaled Boundary Finite Elements, PSBFE）自动离散。相对以往基于比例边界有限元（SBFEM）的应用，该多边形单元不但继承SBFEM半解析求解裂纹尖端奇异性的特性，而且在模拟复杂结构的网格生成和裂纹扩展上具有更高的通用性。本文首次用该单元模拟了动荷载下复合材料裂纹和夹杂相互作用。动荷载稳定裂纹情况下，PSBFE计算结果同现有文献吻合良好，在此基础上，本文结合基于拓扑的局部网格重剖分方法，模拟了动荷载下夹杂和扩展裂纹相互作用。结果表明，硬质夹杂和软质夹杂对结构的动力应力强度因子分别起到抑制和放大的作用。夹杂尺寸，夹杂大小也会在一定范围内影响动力应力强度因子，尺寸越大距离裂纹越近的夹杂影响越大。

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关键词 ：裂纹扩展')" href="#">

裂纹扩展, 复合材料, 多边形单元, 网格重剖分, 动力应力强度因子

Abstract：

Any domain can be discretized with a mesh of arbitrary n-sided ( ) Polygon Scaled Boundary Finite Elements （PSBFE） through Delaunay triangulation automatically. Compared with previous literatures based on SBFEM, PSBFE retains the characteristics of SBFEM in accurately representing orders of singularities at the crack tips yet is more general and flexible in modeling complicated structures and its crack propagation. In this paper, PSBFE is for the first time, applied to the dynamic interactions between the crack and inclusions in composite material. The numerical result of stationary cracks under dynamic load is found consistent with available data in literature. Next, a local remeshing scheme is employed to simulate the dynamic crack propagation. The numerical results demonstrate the shielding and amplification effects of stiff and soft inclusion respectively. It is found that the sizes and positions of inclusions will also affect the dynamic stress intensity factor. The larger and close the inclusion is, the more effect it will has.

Key words： crack propagation composite material polygon elements grid remeshing dynamic stress intensity factor;

收稿日期: 2014-12-05 出版日期: 2016-02-15

引用本文:

施明光1,3，徐艳杰1，张楚汉1，刘钧玉2,4，. 比例边界有限元模拟裂纹和夹杂动力相互作用[J]. 振动与冲击, 2016, 35(4): 15-21.
SHI Mingguang1,3, XU Yanjie1, ZHANG Chuhan1, LIU Junyu2,4. Simulation of dynamic interactions between the crack and inclusions by the Scaled Boundary Finite Element Method. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(4): 15-21.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2016/V35/I4/15

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