Non-ordinary state-based peridynamics (NOSBPD) and finite element method (FEM) are coupled to study the discontinuous problems, in which the damage criteria can be adopted from the viewpoint of strain and stress tensors. The coupling method takes full use of advantages of NOSBPD in dealing with discontinuous issues and the high efficiency of FEM, which also can eliminate the surface effect in PD. The computation domain for the coupling method includes the NOSBPD region and the FEM region, but no coupling region between the above two regions. Several numerical examples are used to validate the accuracy and efficiency of the coupling method in solving the one-dimensional, two-dimensional and three-dimensional static and dynamic discontinuous problems.

基于非常规状态的周边动力学（NOSBPD）和有限元方法（FEM）来研究不连续性问题，从应变和应力张量的角度出发，可以采用损伤准则。该耦合方法充分利用了NOSBPD处理不连续问题的优势以及有限元效率高，也可以消除PD中的表面效应。耦合方法的计算域包括NOSBPD区域和FEM区域，但在上述两个区域之间没有耦合区域。使用几个数值示例验证了耦合方法在解决一维，二维和三维静态和动态不连续问题上的准确性和效率。