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

doi:10.1007/s10483-022-2846-9

Applied Mathematics and Mechanics (English Edition) ›› 2022, Vol. 43 ›› Issue (5): 689-708.doi: https://doi.org/10.1007/s10483-022-2846-9

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

Yongbin WANG^1,2, Huadong YONG^1,2, Youhe ZHOU^1,2

1. Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
2. Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education of China, Lanzhou University, Lanzhou 730000, China

收稿日期:2021-10-14 修回日期:2022-03-02 发布日期:2022-05-05
通讯作者: Huadong YONG, E-mail:yonghd@lzu.edu.cn
基金资助:
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)

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

Yongbin WANG^1,2, Huadong YONG^1,2, Youhe ZHOU^1,2

1. Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
2. Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education of China, Lanzhou University, Lanzhou 730000, China

Received:2021-10-14 Revised:2022-03-02 Published:2022-05-05
Contact: Huadong YONG, E-mail:yonghd@lzu.edu.cn
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)

摘要/Abstract

摘要： 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.

关键词: superconducting strand, multi-filamentary, two-step homogenization, effective thermal conductivity

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.

Key words: superconducting strand, multi-filamentary, two-step homogenization, effective thermal conductivity

中图分类号:

Yongbin WANG, Huadong YONG, Youhe ZHOU. Two-step homogenization for the effective thermal conductivities of twisted multi-filamentary superconducting strand[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(5): 689-708.

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

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

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