Fracture behavior of an inclined crack interacting with a circular inclusion in a high-TC superconductor under an electromagnetic force

Abstract

A simple model is proposed to investigate the interaction problem for a circular nonsuperconducting inclusion embedded in a high-TC superconducting matrix which contains an inclined crack, oriented at an arbitrary angle from the direction of the critical currents. The electromagnetic behavior is described by the critical state, the original Bean model. The perturbation brought upon by the circular inclusion and the crack on the critical current density is assumed to be negligible and not considered in this model. The distribution dislocation technology is applied to formulate the current problem. The stress intensity factors (SIFs) are obtained by solving the formulated singular integral equations. The effects of the crack angle, the elastic modulus, the inclusion-crack distance and the inclusion-crack size on the stress intensity factors are discussed in detail.

Three-dimensional peridynamic modeling of crack initiation and propagation in bulk superconductor during field cooling magnetization

“…Many studies have been done to investigate the current density distribution near defects within bulk superconductors [28][29][30]. The fracture behaviors of bulk superconductors with cracks under an electromagnetic body force have also been studied by many researchers [31][32][33][34][35][36][37][38]. Chen et al used the extended finite element method (XFEM) to analyze the stress intensity factor and crack growth in a GdBCO bulk superconductor during FCM [39].…”