The Performance of Five Extended Bond-Based Peridynamic Models on Crack Simulation

Abstract

Peridynamics (PDs) is a nonlocal continuum mechanics theory used to solve fracture and failure problems. The classical bond-based peridynamics (BBPDs) involves one parameter to describe the microelastic bond stretch response, which makes the Poisson’s ratio restricted. In previous studies, kinds of extended bond-based peridynamic (EBBPD) models were proposed to deal with the limitation of Poisson’s ratio in BBPDs. In this paper, four benchmarks with different load conditions are designed to compare the performance of five EBBPD models and to investigate the effects of model parameters on crack propagation. Results show that compared with BBPDs, the crack patterns of the EBBPD models have the main form of BBPDs; on the other hand, the introduction of tangential stiffness makes the form of crack tend to shear failure, and the increase of tangential stiffness will enhance this effect. The crack patterns transition of wing cracks from tensile failure to mixed tensile–shear failure when the tangential stiffness increases. For the models with rotational stiffness, the rotational stiffness affects the width and propagation direction of the secondary crack and makes the trends to shear failure. Besides, the rotational stiffness affects the forms of crack coalescence and divides the results of these five models into three types.