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

A peridynamics-based finite element method for quasi-static fracture analysis