Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements

Abstract

This study presents a framework to perform bond-based (BB), ordinary state-based (OSB) and non-ordinary state-based (NOSB) peridynamic (PD) analysis in ANSYS, a commercial software, with native MATRIX27 elements. The PD equilibrium equations as well as the PD form of the traction components are constructed by using these elements and solved within the ANSYS framework through implicit methods. The domain is divided into three regions in order to satisfy the equilibrium equations and to directly impose the displacement and traction boundary conditions without a fictitious layer. The results are free of displacement kinks; thus, removing the unphysical stress concentrations. Also, the displacement predictions maintain the smoothness throughout the domain. Its accuracy is demonstrated by considering isotropic elastic plates subjected to various types of boundary conditions under quasi-static loading conditions. For all combinations of boundary conditions, the displacement predictions agree well with FE results. Failure is introduced gradually through the KILL option in ANSYS.