In this paper, an improved conforming AFEM (C-AFEM) for efficient modeling of arbitrary crack propagation and branching is proposed and validated. An explicit formulation for branching cracks has been derived within the C-AFEM framework. The conjugate gradient method is integrated into the C-AFEM formulation to solve the local problem that consists of all elements traversed by single or multiple cracks. Multiple numerical evidences show that this new approach can substantially improve the modeling efficiency. The solution accuracy and numerical robustness are also significantly improved.

中文翻译：

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用于模拟固体中任意裂纹扩展和分支的符合 A-FEM

在本文中，提出并验证了一种改进的一致性 AFEM (C-AFEM)，用于有效地模拟任意裂纹扩展和分支。在 C-AFEM 框架内推导出了一个明确的分支裂缝公式。共轭梯度法被集成到 C-AFEM 公式中，以解决由单个或多个裂纹穿过的所有单元组成的局部问题。多个数值证据表明，这种新方法可以显着提高建模效率。求解精度和数值鲁棒性也显着提高。