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Kim model for stress distribution in a hollow cylindrical superconductor

机译:中空圆柱超导体中应力分布的Kim模型

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In the present work, the distributions of the stress induced by flux pinning in a cylindrical superconductor with a concentric elliptic hole are studied. The Kim model is considered for the critical state, and the analytical expression of the stress in the cylinder is derived when the concentric hole is circular. Based on the finite element method, at first, the validity of the calculation process and the accuracy of the numerical results are proved by comparing with the analytical results. Subsequently, the distributions of the stress are obtained for different ratio of the major axis and the minor axis of the elliptic hole. It is found that due to the effect of stress concentration, as the value of ratio the major axis and the minor axis becomes large, the radial and hoop stress in superconductor just increase significantly in the vicinity of the hole, and the variation of the hoop stress is more sensitive. These results have significant effects on the safety in applications of superconductor.
机译:在目前的工作中,研究了在具有同心椭圆形孔的圆柱形超导体中通量钉扎引起的应力分布。考虑到临界状态为Kim模型,当同心孔为圆形时,得出圆柱体中应力的解析表达式。首先,基于有限元方法,通过与解析结果的比较,证明了计算过程的有效性和数值结果的准确性。随后,针对椭圆孔的长轴和短轴的不同比例获得应力的分布。发现由于应力集中的影响,当长轴和短轴的比值变大时,超导体中径向和环向应力仅在孔附近显着增加,并且环向变化压力更敏感。这些结果对超导体的应用安全性具有重要影响。

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