Flux-Pinning-Induced Stress Behaviors in a Long Rectangular Superconducting Slab With a Central Rectangular Hole

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

“…3, σ m /σ 0 is always negative when the applied magnetic field increases. And similar to the centric elliptical hole problem of the superconducting bulk [30], for a definite film with a fixed hole, σ m /σ 0 generally decreases with the increasing of applied magnetic field H a /H c . Besides, for a given H a /H c , σ m /σ 0 also decreases with the increasing of either film's size or hole's size, which has been actually observed for both the elliptical hole problem considered in Yong and Zhou 29 and the problem of through rectangular section hole in Fig.…”

“…The reason for this is perhaps that in the rising stage of the magnetic field, the electromagnetic body force mostly points to the center of the film. It is remarked here that the influence of holes on electromagnetic force is not considered in Yong and Zhou [29] and Feng et al [30].…”

“…, where σ xx , σ yy , and σ xy are respectively the stresses of the superconducting film induced by the applied magnetic field [30]. Also, introduce σ m to denote one quantity whose absolute value is maximum among all |σ 1 | and |σ 2 | of different points along the hole edge [30]. Lots of As shown in Fig.…”

“…Besides, for a given H a /H c , σ m /σ 0 also decreases with the increasing of either film's size or hole's size, which has been actually observed for both the elliptical hole problem considered in Yong and Zhou 29 and the problem of through rectangular section hole in Fig. 4 Normalized σ 1 /σ 0 and σ 2 /σ 0 along the hole edge in a rectangular film as L f /W f = 2.0, W h /W f = 0.4, and H a /H c = 2.0 for a L h /W f = 0.4, b L h /W f = 0.8, and c L h /W f = 1.2, respectively superconducting slab [30]. The reason for this is perhaps that in the rising stage of the magnetic field, the electromagnetic body force mostly points to the center of the film.…”

Mechanical Stress in the Superconducting Film Under External Magnetic Field

“…For superconductors with simple geometries, some analytical results were also obtained based on the exact distributions of current density and magnetic field, such as bulk superconductor with a hole or an inclusion, thin strip, coated conductors in magnetic field or with transport current [11][12][13][14][15]. In addition, The mechanical behaviors of thin superconducting disk with a concentric hole and rectangular superconducting slab with a central rectangular hole were studied [16,17]. Then, more complex structures or critical state model are considered to predict the mechanical deformation and stability [18][19][20].…”