Mechanical Stress in the Superconducting Film Under External Magnetic Field

Abstract

In this paper, the mechanical response is studied for different superconducting films in magnetic field. When the superconductors are under magnetic field, the electromagnetic body force will act on the sample. High mechanical stress can affect the mechanical and electromagnetic properties of the superconductors. Based on the Maxwell's equations and fast Fourier transform, the Lorentz force is obtained for the superconducting film during magnetization. We take into account the square and circular superconducting films with finite element method. In addition, the effects of notches and inclusion on the mechanical stress are presented. Numerical results indicate that square film and circular film have similar stress distributions. In the same magnetic field, the stress along the axis is smaller in the superconducting film with notches or inclusion. Finally, the superconducting film with substrate is considered. The mechanical stability can be enhanced by the substrate.

Stress analysis in high-temperature superconductors under pulsed field magnetization

“…Johansen investigated the flux-pinning-induced stress, strain and magnetostriction of type-II superconductors systematically [31][32][33][34]. In addition, the mechanical characteristics and crack problems were considered for HTS tape and cylindrical superconductors [35][36][37][38][39][40][41][42][43]. On the basis of previous investigations, a series of studies on the complicated structure and environment were presented [44][45][46][47][48][49][50][51].…”

“…In addition, the mechanical characteristics and crack problems were considered for HTS tape and cylindrical superconductors [35][36][37][38][39][40][41][42][43]. On the basis of previous investigations, a series of studies on the complicated structure and environment were presented [44][45][46][47][48][49][50][51]. Recently, Fujishiro et al investigated the stresses of REBaCuO superconducting ring bulks reinforced by a metal ring under FC magnetization, and they also investigated the total stress induced by electromagnetic stress plus thermal stress during the cooling down [27,52].…”

Stress Distributions of Rectangular Thin-Film Superconductor with a Centric Hole

“…Additionally, Patel et al and Kamran et al, respectively, analyzed the matching effect in a superconducting film with holes [11,12], whilst Bentner et al considered the effect of submicron holes on the vortex dynamics of a superconducting microbridge [7]. On the other hand, although lots of achievements on mechanical behaviors of superconducting films have been also obtained [14][15][16][17][18][19][20][21][22][23], the investigations about mechanical properties of thin-film superconductors with holes are very limited. To our best knowledge, up till now, only Feng et al [24] analytically investigated flux-pinning-induced magnetostriction and stress in a transversely isotropic superconducting thin disk with a concentric small hole.…”