Flux-Pinning-Induced Magnetostriction and Stress in a Transversely Isotropic Thin Superconducting Disk with a Concentric Small Hole

Abstract

Flux-pinning-induced magnetostriction and stress distribution in a transversely isotropic thin superconducting disk with a concentric small hole in a perpendicular magnetic field are investigated theoretically. The flux and current density profiles in the disk are assumed to follow the Bean model. Exact expressions for both the magnetostriction and stresses including radial and hoop stresses are given clearly. The magnetostriction during a magnetization process is presented. The emphasis is put on the effects of the applied magnetic field on both the magnetostriction and maximal tensile stress during magnetic activation. Numerical results show that during a cycle of the applied field the maximal tensile radial stress is found to occur approximately midway between the peak field and the remanent state, while maximal tensile hoop stress generally occurs at the hole’s edge, which perhaps is helpful for the intensity analysis and design of superconducting materials.