This paper presents a methodology for the analysis of three-dimensional static fractures in fiber-reinforced materials. Fibers are discretely modeled using a modification of the embedded reinforcement method with bond Slip (mERS) that allows its combination with a generalized finite element method (GFEM) for three-dimensional fractures. Since the GFEM mesh does not need to fit fracture surfaces or fibers, the GFEM–mERS can handle fibers bridging across crack faces at arbitrary angles. The method is verified against three-dimensional FEM solutions using conformal discretizations for crack surfaces and fiber boundaries. The comparison of the method against experimental data and convergence studies of the h- and p-version of the method is also presented.

中文翻译：

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纤维增强复合材料三维断裂的广义有限元方法

本文提出了一种分析纤维增强材料中三维静态断裂的方法。使用带有粘结滑移 (mERS) 的嵌入式加固方法的修改，对纤维进行离散建模，该方法允许将其与广义有限元方法 (GFEM) 结合用于三维断裂。由于 GFEM 网格不需要拟合断裂面或纤维，GFEM-mers 可以处理以任意角度跨越裂纹面的纤维。该方法通过使用裂纹表面和纤维边界的保形离散化的三维 FEM 解决方案进行了验证。还介绍了该方法与实验数据的比较以及该方法的 h 和 p 版本的收敛研究。