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

作     者：Yongbin WANG Huadong YONG Youhe ZHOU Yongbin WANG;Huadong YONG;Youhe ZHOU

作者机构：Department of Mechanics and Engineering SciencesCollege of Civil Engineering and MechanicsLanzhou UniversityLanzhou 730000China Key Laboratory of Mechanics on Disaster and Environment in Western ChinaMinistry of Education of ChinaLanzhou UniversityLanzhou 730000China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第5期

页      面：689-708页

核心收录：

学科分类：08[工学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.12172155 and11872195) the Project of Innovation Star for Outstanding Graduates Students of Gansu Provincial Department of Education of China(No.2021CXZX-031)。 

主　　题：superconducting strand multi-filamentary two-step homogenization effective thermal conductivity 

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.