A peridynamics (PD)–extended finite element method (XFEM) coupling strategy for brittle fracture simulation is presented. The proposed methodology combines a small PD patch, restricted near the crack tip area, with the XFEM that captures the crack body geometry outside the domain of the localised PD grid. The feasibility and effectiveness of the proposed method on a Mode I crack opening problem is examined. The study focuses on comparisons of the J integral values between the new coupling strategy, full PD grids and the commercial software Abaqus. It is demonstrated that the proposed approach outperforms full PD grids in terms of computational resources required to obtain a certain degree of accuracy. This finding promises significant computational savings when crack propagation problems are considered, as the efficiency of FEM and XFEM is combined with the inherent ability of PD to simulate fracture.

中文翻译：

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耦合 XFEM 和近场动力学用于脆性断裂模拟——第一部分：可行性和有效性

提出了一种用于脆性断裂模拟的近场动力学 (PD) 扩展有限元方法 (XFEM) 耦合策略。所提出的方法将限制在裂纹尖端区域附近的小 PD 补丁与捕获局部 PD 网格域外的裂纹体几何形状的 XFEM 相结合。检验了所提出的方法在模式 I 裂缝张开问题上的可行性和有效性。该研究侧重于新耦合策略、完整 PD 网格和商业软件 Abaqus 之间 J 积分值的比较。结果表明，所提出的方法在获得一定精度所需的计算资源方面优于完整的 PD 网格。当考虑裂纹扩展问题时，这一发现有望显着节省计算量，