In this paper, a peridynamics-based finite element method (Peri-FEM) is proposed for the quasi-static fracture analysis, which is of the consistent computational framework with the classical finite element method (FEM). First, the integral domain of the peridynamics is reconstructed, and a new type of element called peridynamic element (PE) is defined. Although PEs are generated by the continuous elements (CEs) of classical FEM, they do not affect each other. Then the spatial discretization is performed based on PEs and CEs, and the linear equations about the nodal displacement are established according to the principle of minimum potential energy. Besides, the cracks are characterized as the degradation of the mechanical properties of PEs. Finally, the validity of the proposed method is demonstrated through numerical examples.

翻译：在本文中,为准静态断裂分析建议了一种基于近地动力学的有限元素法(Peri-FEM),这是与古典有限元素法(FEM)一致的计算框架。首先,对近地动力学的整体领域进行了重建,并界定了一种称为近地动力学元素(PE)的新型元素。虽然PE是由古典FEM的连续元素(CES)产生的,但并不相互影响。然后,根据PE和CE进行空间分解,关于交错的线性方程式是根据最小潜在能量原则确定的。此外,裂缝的特征是PE的机械特性的退化。最后,通过数字实例表明拟议方法的有效性。