Abstract
In this work, the flux-pinning-induced stress distribution in a circular cylinder of high-temperature superconductors is studied by adopting the Kim critical state model to describe the relationship between the magnetic flux density and induced current. Based on the plane strain approach, the analytic expressions of the radial and hoop stress in the cylinder are derived for the zero-field cooling and field cooling magnetization processes. It is shown that the stress distributions depend on the activation processes and the values of the dimensionless parameter p in the Kim model, and the overall maximums of the stresses appear at or near the center of the cylinder where cracking may be most likely initiated. In addition, the Kim model has wider applicability than the Bean model, and the influence of p on the stress depends on the activation process. Generally speaking, these results may be useful for understanding the magnetoelastic problem in practical application of bulk superconductors.
Highlights
Characteristics of high current density and high critical magnetic field make bulk high-temperature superconductors (HTSs) promising for extensive applications like high trapped-field magnet, flywheel energy storage systems, magnetic bearing, magnetically levitated maglev, etc.[1,2,3] the low thermal conductivity and poor mechanical stability limit their ability of trapping larger fields.[4,5,6] By improving the thermal stability and the internal mechanical strength, Tomita et al.[7] measured that very high trapped magnetic flux density up to 17.24 T were achieved at 29K in bulk YBa2Cu3O7−y samples
The flux-pinning-induced stress distribution in a circular cylinder of HTS is studied in this paper
The Kim model is adopted to describe the relationship between the magnetic flux density and induced current, and the zero-field cooling (ZFC) and field cooling (FC) magnetization processes are considered, respectively
Summary
Characteristics of high current density and high critical magnetic field make bulk high-temperature superconductors (HTSs) promising for extensive applications like high trapped-field magnet, flywheel energy storage systems, magnetic bearing, magnetically levitated maglev, etc.[1,2,3] the low thermal conductivity and poor mechanical stability limit their ability of trapping larger fields.[4,5,6] By improving the thermal stability and the internal mechanical strength, Tomita et al.[7] measured that very high trapped magnetic flux density up to 17.24 T were achieved at 29K in bulk YBa2Cu3O7−y samples. Some researchers investigated the damage problem of bulk HTSs in the magnetization process based on the theory of the fracture mechanics,[24,25,26,27] and the pinning-induced stress is investigated in many literatures.[28,29,30,31,32,33,34] Johansen[28] and Yong et al.[29] studied the flux-pinning-induced stress in a long rectangular slab for different critical state models, respectively. The flux-pinning-induced stress distribution in a circular cylinder of HTS is studied by adopting the Kim model to describe the relationship between the magnetic flux density and induced current. The difference between the Kim model and the Bean model are analyzed in the conclusions
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