An analytical investigation on singularity of current distribution around a crack in a long cylindrical superconductor

作者：Xue Feng; Zhou You He^*

来源：Journal of Applied Physics, 2010, 107(11): 113927.

DOI：10.1063/1.3399508

• Bean model
• conformal mapping
• cracks
• critical current density (superconductivity)
• current distribution
• magnetic flux

This paper presents an analytical investigation to display the distribution of critical current flow and trapped magnetic field around a through crack centrally located in a long cylindrical superconductor on the basis of the Bean model and the Kim model. After a simple conformal mapping is employed to the case of that the superconductor is fully penetrated, the current streamlines, the current density, and the trapped field around the crack in the superconductor without deformation are obtained. It is shown that the crack results in a long-range disturbance of J(r) on the scale much larger than the crack length 2a and a large stagnation region of magnetic flux near the crack except for the singularity of the critical current at the crack tip. Meanwhile, it is also found that the singularity feature is different from the conventional stress one at the crack tip in a deformable body.

• 出版日期2010-6-1
• 单位兰州大学