A New Bond-Based Peridynamic Model with the Ability to Model Elastoplastic Behavior

Abstract

The classical mechanics equations include displacement derivatives, which usually causes the inability to predict defects in damaged structures. Nowadays, in order to solve this challenge in the special conditions governing the crack tip and the discontinuities in the material, the theory of Peridynamics has been proposed to model progressive damage and rupture in cracked structures. Due to the inability of bond-based Peridynamics to predict failure in ductile materials, the main purpose of this paper is to present a new bond-based Peridynamics model with the ability to model elastoplastic materials using Variable Material Property method. For validation of the model, the results of the proposed Peridynamics model of two examples of a plate with a central hole and a plate with a central crack under tension are checked with those of ABAQUS software based on the assumptions of the continuum mechanics. The results related to von Mises stress, plastic zone size, equivalent plastic strain and displacements of the proposed model showed a good agreement as compared to the results by the finite element method, which indicates the good accuracy of the proposed model.