Abstract
Magnetoelastic effects, which are caused by flux pinning in the superconductors, often induce fatal cracking of the bulk high temperature superconductors (HTS). In the present work, the Kim model is considered for the critical state in which the critical current density is assumed to depend on the flux density. Based on the plane strain approach, the analytic expression of the stress under the magnetic field is derived for a specimen having a slab geometry and infinitely along the other two directions. The stress field is obtained in the slab for the Kim model, and the stress behavior is discussed for two magnetization processes: the decreasing field and the field cooling. It is shown that the effects of the parameter p on the stress are related to the magnetization process. Compared to the Bean model, the results for the Kim model show the same trend with respect to the external field Ba during field cooling. Generally speaking, these results are of clear interest to experimentalists and to the successful application of bulk superconductors.
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