Voronoi cell finite element models (VCFEM) containing pores and various cracks were developed in this study to simulate crack propagation in porous materials. In addition to polynomial terms, singular items were inserted into the stress function to capture the stress concentration at the tip of the crack. During crack propagation, the Voronoi element type changes such that an element may contain an internal crack, an edge crack, a bridge crack, or other types of cracks in addition to a pore. Functional of the element containing both bridge crack and external crack were derived, and a crack propagation program was developed to execute a mesh division algorithm for crack propagation from one element to another. The results of the tests showed that the proposed method could effectively be used to mitigate crack propagation.

本研究开发了包含孔隙和各种裂纹的 Voronoi 单元有限元模型 (VCFEM)，以模拟多孔材料中的裂纹扩展。除了多项式项，奇异项被插入到应力函数中，以捕捉裂纹尖端的应力集中。在裂纹扩展过程中，Voronoi 元素类型会发生变化，因此除了孔隙之外，元素还可能包含内部裂纹、边缘裂纹、桥裂纹或其他类型的裂纹。推导出包含桥梁裂纹和外部裂纹的单元的函数，并开发了裂纹扩展程序来执行从一个单元到另一个单元的裂纹扩展的网格划分算法。试验结果表明，所提出的方法可以有效地抑制裂纹扩展。