Abstract Peridynamics (PD) and extended finite element method (XFEM) are coupled in the explicit integration scheme to study the 2D dynamic fracture problems. The advantages of PD for the crack propagation and XFEM for the strong displacement discontinuity description of the crack are combined together. The proposed method can improve the computation efficiency in comparison of the pure PD, and can avoid using macroscopic criteria to judge the crack propagation orientation of XFEM. The coupling scheme for the stiffness and mass matrices of PD and XFEM is given in the coupling region. The horizon length δ is examined to study their influences on the convergence of the proposed method. The accuracy of the dynamic fracture simulation using the proposed method is also validated in comparison of experimental and other numerical methods.

中文翻译：

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用于二维动态裂纹扩展和分支问题的 XFEM/近场动力学耦合模型

摘要 近场动力学（PD）和扩展有限元法（XFEM）结合在显式积分方案中研究二维动态断裂问题。PD 用于裂纹扩展和 XFEM 用于裂纹强位移不连续性描述的优点结合在一起。与纯PD相比，该方法可以提高计算效率，并且可以避免使用宏观准则来判断XFEM裂纹扩展方向。耦合区域中给出了 PD 和 XFEM 的刚度和质量矩阵的耦合方案。检查水平长度 δ 以研究它们对所提出方法的收敛性的影响。使用所提出的方法进行动态断裂模拟的准确性也在实验和其他数值方法的比较中得到验证。