Fracturing behavior and mechanism of flawed disc specimens under compressive loading using geometry-constraint-based nonordinary state-based peridynamics

Abstract

A geometry-constraint-based nonordinary state-based peridynamic (GC-NOSBPD) model is developed to investigate the fracture characteristics of flawed brittle disc specimens under compressive loading as well as its fracturing mechanism. The bond-associated horizon (BAH) size is directly defined based on the kinematic constraint (KC). This proposed model can well mitigate the numerical oscillation. The failure criteria based on the bond-associated stress state are utilized to simulate the fracture of materials. Two stress effects can offer an insight into the fracturing mechanism of flawed specimens. The failure modes of flawed specimens are controlled by the tensile failure, and the crack growth trajectories acquired by the present numerical model are equivalent to those obtained by the experimental observations. The effects of size and crack inclination angles on the fracture toughness of brittle materials are assessed. The GC-NOSBPD model is competent for evaluating the fracture damage of flawed brittle materials and understanding its failure mechanism.