Two new Voronoi cell finite element models for fracture simulation in porous material under inner pressure
Two new Voronoi cell finite element models for fracture simulation in porous material under inner pressure
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用于内压下多孔材料断裂模拟的两个新的 Voronoi 单元有限元模型
DOI：
10.1016/j.engfracmech.2019.01.012
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发表时间：
2019-04
影响因子：
5.4
通讯作者：
Ran Guo
中科院分区：
文献类型：
--
作者：
Ning Han;Ran Guo
基于Voronoi单元有限元模型，提出了两种新的单元，用于含孔洞材料在内压作用下的断裂模拟。一种是裂纹在内孔边缘萌生的单元。另一种是裂纹从单元边缘开始扩展的单元，它是由相邻单元的裂纹扩展而产生的。此外，应用余能泛函，在应力函数中加入裂纹尖端应力分量的解析解。当孔数超过十万时，普通有限元需要上亿个网格，这是不可能解决的。而新的Voronoi单元具有网格数随孔洞数变化的特点，使得大规模模拟成为可能。VCFEM中的网格数保持不变，而普通单元中的网格数随着裂纹的出现而大大增加。大量计算应力强度因子的数值实验结果表明，本文模型具有较高的精度，能够准确地捕捉应力强度因子。
Two new elements based on Voronoi cell finite element (VCFEM) model are developed for fracture simulation of material containing massive holes under inner pressure. One is the element with crack initiating from edge of the inner hole. The other one is the element with crack initiating from the edge of cell which generates when cracks extend from adjacent cells. In addition, analytical solution of stress components near crack tip is added to stress function applying to complementary energy functional. When the number of the holes is over a hundred thousand, the ordinary finite element needs about hundreds of millions of meshes which are solved impossibly. However, there is the characteristic of keeping the number of grids with hole number in new Voronoi cell which makes large scale simulation possible. Also grids number in VCFEM remains constant while the number in ordinary element increases greatly with cracks. The results for a large number of numerical experiments which are to calculate stress intensity factor (SIF) have demonstrated that the present models have high precision and capture stress intensity accurately.
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