Flux-pinning-induced stress behaviors in a long superconducting slab with central cuboid hole

This paper investigates the flux-pinning-induced stress behaviors in a long superconducting slab with a central cuboid hole. The distribution of flux density is analytically derived for the critical current density of Kim model by considering the effects of the hole. The concentration of stress for both of the zero-field cooling (ZFC) and the field cooling (FC) magnetization processes are investigated through numerical simulation by using finite element method. The results indicate the potential failure mode varies with the height-width ratio and the dimensions of the hole. Different to the case of infinite hole height, the stress concentration behavior for the FC process is more critical when the dimensions of the hole are similar. The findings in this paper are useful for understanding of the degrade mechanism of superconductor in service and the design of new system. Graphic abstract The flux-pinning-induced stress behaviors in a long superconducting slab with a central cuboid hole was investigated for the critical current density of Kim model by considering the effects of the hole. The results indicate the potential failure mode varies with the height-width ratio and the dimensions of the hole. Different to the case of infinite hole height, the stress concentration behavior for the FC process is more critical when the dimensions of the hole are similar.