Abstract This paper is devoted to numerical investigation of holes/voids effects on crack growth in solids using a locally refined (LR) B-splines extended isogeometric analysis (XIGA). We particularly focus our attention on crack-hole interaction analysis. Special enrichment functions captured discontinuity and singularity are used, by which the computational mesh is thus independent of both cracks and holes, eliminating re-meshing when modeling crack growth. Geometries of arbitrary shaped cracks and holes are accurately described with the NURBS curves, and the coordinates of control points and weights of the NURBS curves are produced from the iges file of Rhino. An efficient stress recovery based error estimator in combination with the structured mesh refinement strategy is adopted to conduct local mesh refinement. The interaction integral method is applied to evaluate the stress intensity factors (SIFs), and the direction of crack growth is determined with the maximum circumferential stress criterion. Analysis of crack-hole interaction is examined through several numerical examples, and computed results are validated with respect to reference solutions.

中文翻译：

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使用局部网格细化自适应 XIGA 的任意孔/空隙对裂纹扩展的影响

摘要 本文致力于使用局部细化 (LR) B 样条扩展等几何分析 (XIGA) 数值研究孔/空隙对固体裂纹扩展的影响。我们特别关注裂纹孔相互作用分析。使用捕获不连续性和奇异性的特殊富集函数，计算网格因此独立于裂纹和孔洞，消除了建模裂纹扩展时的重新划分网格。任意形状的裂缝和孔洞的几何形状用NURBS曲线精确描述，NURBS曲线的控制点坐标和权重由Rhino的iges文件生成。采用有效的基于应力恢复的误差估计器结合结构化网格细化策略进行局部网格细化。应用相互作用积分法评价应力强度因子(SIFs)，并用最大周向应力准则确定裂纹扩展方向。裂纹-孔相互作用的分析通过几个数值例子进行了检查，并且计算结果相对于参考解决方案进行了验证。