A method for multiple crack growth in brittle materials without remeshing
A method for multiple crack growth in brittle materials without remeshing
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DOI：
10.1002/nme.1130
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发表时间：
2004-11
影响因子：
2.9
通讯作者：
E. Budyn;G. Zi;N. Moës;T. Belytschko
中科院分区：
文献类型：
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作者：
E. Budyn;G. Zi;N. Moës;T. Belytschko
本文提出了一种线弹性介质中多裂纹扩展的模拟方法。均质和非均质材料被认为是。该方法使用扩展的有限元法的任意不连续性，并不需要重新网格的裂缝增长，该方法还处理的交界处的裂缝。裂纹的几何形状是任意的相对于网格和描述的向量水平集。得到结构的整体响应，直到完全失效。竞争裂纹尖端的稳定性分析。该方法适用于平面应变或平面应力下的物体，以及具有2-10个增长裂纹的单位单元（尽管该方法不限制裂纹的数量）。它被证明是有效的和准确的裂纹愈合和渗流问题。版权所有© 2004年约翰威利父子有限公司。
A method for modelling the growth of multiple cracks in linear elastic media is presented. Both homogeneous and inhomogeneous materials are considered. The method uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks. The crack geometries are arbitrary with respect to the mesh and are described by vector level sets. The overall response of the structure is obtained until complete failure. A stability analysis of competitive cracks tips is performed. The method is applied to bodies in plane strain or plane stress and to unit cells with 2–10 growing cracks (although the method does not limit the number of cracks). It is shown to be efficient and accurate for crack coalescence and percolation problems. Copyright © 2004 John Wiley & Sons, Ltd.