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Flux-pinning-induced stress behaviors in a long superconducting slab with central cuboid hole

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Abstract

This paper investigates the flux-pinning-induced stress behaviors in a long superconducting slab with a central cuboid hole. The distribution of flux density is analytically derived for the critical current density of Kim model by considering the effects of the hole. The concentration of stress for both of the zero-field cooling (ZFC) and the field cooling (FC) magnetization processes are investigated through numerical simulation by using finite element method. The results indicate the potential failure mode varies with the height-width ratio and the dimensions of the hole. Different to the case of infinite hole height, the stress concentration behavior for the FC process is more critical when the dimensions of the hole are similar. The findings in this paper are useful for understanding of the degrade mechanism of superconductor in service and the design of new system.

Graphic abstract

The flux-pinning-induced stress behaviors in a long superconducting slab with a central cuboid hole was investigated for the critical current density of Kim model by considering the effects of the hole. The results indicate the potential failure mode varies with the height-width ratio and the dimensions of the hole. Different to the case of infinite hole height, the stress concentration behavior for the FC process is more critical when the dimensions of the hole are similar.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grants 11872257 and 11572358).

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Authors and Affiliations

  1. School of Civil Engineering, Shandong University, Jinan, 250061, China

    Qi-Fang Liu

  2. State Key Lab Mech Behav & Syst Safety Traff Engn, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Wen-Jie Feng

  3. Hebei Key Lab Smart Mat & Struct Mech, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Wen-Jie Feng & Jia-Yu Liu

Authors
  1. Qi-Fang Liu
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  2. Wen-Jie Feng
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Correspondence to Wen-Jie Feng.

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Executive Editor: Hua-Dong Yong

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Liu, QF., Feng, WJ. & Liu, JY. Flux-pinning-induced stress behaviors in a long superconducting slab with central cuboid hole. Acta Mech. Sin. 37, 1255–1263 (2021). https://doi.org/10.1007/s10409-021-01074-2

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  • DOI: https://doi.org/10.1007/s10409-021-01074-2

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