Multiple cohesive crack growth in brittle materials by the extended Voronoi cell finite element model
Multiple cohesive crack growth in brittle materials by the extended Voronoi cell finite element model
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DOI：
10.1007/s10704-006-9000-2
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发表时间：
2006-10
影响因子：
2.5
通讯作者：
Shanhu Li;Somnath Ghosh
中科院分区：
文献类型：
--
作者：
Shanhu Li;Somnath Ghosh
本文采用扩展Voronoi单元有限元模型（X-VCFEM）模拟多个粘性裂纹的扩展。在X-VCFEM中，除了多项式项外，应力函数还包括与水平集方法相结合的分支函数和裂纹尖端附近的多分辨率小波函数。小波基函数自适应丰富，准确地捕捉裂纹尖端应力集中。本文采用非本征凝聚区模型来模拟裂纹。增量裂纹扩展方向和长度由基于内聚断裂能的准则自适应地确定。数值算例的解决和现有的解决方案在文献中进行比较，以验证X-VCFEM的有效性。研究了软熔区参数对裂纹扩展的影响。此外，形态分布，如长度，方向和分散性对裂纹扩展的影响进行了研究。
This paper is aimed at modeling the propagation of multiple cohesive cracks by the extended Voronoi cell finite element model or X-VCFEM. In addition to polynomial terms, the stress functions in X-VCFEM include branch functions in conjunction with level set methods and multi-resolution wavelet functions in the vicinity of crack tips. The wavelet basis functions are adaptively enriched to accurately capture crack-tip stress concentrations. Cracks are modeled by an extrinsic cohesive zone model in this paper. The incremental crack propagation direction and length are adaptively determined by a cohesive fracture energy based criterion. Numerical examples are solved and compared with existing solutions in the literature to validate the effectiveness of X-VCFEM. The effect of cohesive zone parameters on crack propagation is studied. Additionally, the effects of morphological distributions such as length, orientation and dispersion on crack propagation are studied.