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Two-step homogenization for the effective thermal conductivities of twisted multi-filamentary superconducting strand

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Abstract

For the accurate prediction of the effective thermal conductivities of the twisted multi-filamentary superconducting strand, a two-step homogenization method is adopted. Based on the distribution of filaments, the superconducting strand can be decomposed into a set of concentric cylinder layers. Each layer is a two-phase composite composed of the twisted filaments and copper matrix. In the first step of homogenization, the representative volume element (RVE) based finite element (FE) homogenization method with the periodic boundary condition (PBC) is adopted to evaluate the effective thermal conductivities of each layer. In the second step of homogenization, the generalized self-consistent method is used to obtain the effective thermal conductivities of all the concentric cylinder layers. The accuracy of the developed model is validated by comparing with the local and full-field FE simulation. Finally, the effects of the twist pitch on the effective thermal conductivities of twisted multi-filamentary superconducting strand are studied.

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Funding

Project supported by the National Natural Science Foundation of China (Nos. 12172155 and 11872195) and the Project of Innovation Star for Outstanding Graduates Students of Gansu Provincial Department of Education of China (No. 2021CXZX-031)

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Authors and Affiliations

  1. Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, 730000, China

    Yongbin Wang, Huadong Yong & Youhe Zhou

  2. Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education of China, Lanzhou University, Lanzhou, 730000, China

    Yongbin Wang, Huadong Yong & Youhe Zhou

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  1. Yongbin Wang
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  2. Huadong Yong
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Correspondence to Huadong Yong.

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Wang, Y., Yong, H. & Zhou, Y. Two-step homogenization for the effective thermal conductivities of twisted multi-filamentary superconducting strand. Appl. Math. Mech.-Engl. Ed. 43, 689–708 (2022). https://doi.org/10.1007/s10483-022-2846-9

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  • DOI: https://doi.org/10.1007/s10483-022-2846-9

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