Fracture analysis of a transversely isotropic high temperature superconductor strip based on real fundamental solutions

•We studied fracture problem in HTS based on real fundamental solutions.•When the thickness of HTS strip increases the SIF decrease.•A higher applied field leads to a larger stress intensity factor.•The greater the critical current density is, the smaller values of the SIF is.

Real fundamental solution for fracture problem of transversely isotropic high temperature superconductor (HTS) strip is obtained. The superconductor E–J constitutive law is characterized by the Bean model where the critical current density is independent of the flux density. Fracture analysis is performed by the methods of singular integral equations which are solved numerically by Gauss–Lobatto–Chybeshev (GSL) collocation method. To guarantee a satisfactory accuracy, the convergence behavior of the kernel function is investigated. Numerical results of fracture parameters are obtained and the effects of the geometric characteristics, applied magnetic field and critical current density on the stress intensity factors (SIF) are discussed.