Adaptation of quadtree meshes in the scaled boundary finite element method for crack propagation modelling
Adaptation of quadtree meshes in the scaled boundary finite element method for crack propagation modelling
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DOI：
10.1016/j.engfracmech.2015.06.083
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发表时间：
2015-08
影响因子：
5.4
通讯作者：
E. Ooi;H. Man;S. Natarajan;Chongmin Song
中科院分区：
文献类型：
--
作者：
E. Ooi;H. Man;S. Natarajan;Chongmin Song
提出了一种结合比例边界有限元法和四叉树网格的裂纹扩展模拟技术。该技术自动满足相邻四叉树单元之间的兼容性要求，而不管是否存在悬挂节点。四叉树结构有助于有效的数据存储和快速计算。只需一个单元就可以精确模拟裂纹尖端附近的应力场。裂纹扩展是通过分裂成两个网格中的细胞建模。由此产生的多边形直接建模的缩放边界配方与最小的变化，网格。四个数值例子证明了该技术的显着特点。
A crack propagation modelling technique combining the scaled boundary finite element method and quadtree meshes is developed. This technique automatically satisfies the compatibility requirement between adjacent quadtree cells irrespective of the presence of hanging nodes. The quadtree structure facilitates efficient data storage and rapid computations. Only a single cell is required to accurately model the stress field near crack tips. Crack growth is modelled by splitting the cells in the mesh into two. The resulting polygons are directly modelled by the scaled boundary formulation with minimal changes to the mesh. Four numerical examples demonstrate the salient features of the technique.