Accuracy investigation of PD formulation methods by the E-integral

Abstract

Peridynamics (PD) is a numerical analysis method that can analyze crack growth and propagation phenomena. However, much less PD studies have been done on the energy release rate, which is an important parameter for understanding fracture phenomena. Furthermore, because PD is a numerical analysis method that solves integral equations based on the nonlocal theory, it is known that the accuracy of calculation deteriorates near the boundary. To avoid that problem, we used four PD formulations in calculating the energy release rate using the E-integral formula, and compared it with the exact solution. As a result, we have shown that the energy release rate can be obtained with high accuracy for the NOSB-PD FEM coupled analysis, and furthermore, path-independent can be obtained with high accuracy by limiting the integral path to the FEM region.