Mixed-mode dynamic stress intensity factors evaluation using ordinary state-based peridynamics

Mixed-mode dynamic stress intensity factors (DSIFs) for two-dimensional (2D) elastic cracked solids are evaluated employing ordinary state-based peridynamics (OSPD) theory. The interaction integral is adopted in the evaluation of the DSIFs. Because the displacement derivative cannot be evaluated in the standard OSPD theory, the derivative components in the interaction integral are derived based on the moving least-squares approximation (MLSA). In addition, the diffraction method is introduced in the MLSA to accurately evaluate the field variables around the crack. Several 2D mixed-mode crack problems are solved and evaluated DISFs for regular and irregular particle arrangements. High accuracy and path-independent mixed-mode DSIFs are achieved by this present formulation and discretization.