Degradation of critical current in Bi2212 composite wire under compression load

doi:10.1007/s10483-017-2286-8

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (12): 1773-1784.doi: https://doi.org/10.1007/s10483-017-2286-8

Degradation of critical current in Bi2212 composite wire under compression load

Zhiyang WANG, Huadong YONG, Youhe ZHOU

Key Laboratory of Mechanics on Environment and Disaster in Western China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China

收稿日期:2016-11-30 修回日期:2017-07-03 出版日期:2017-12-01 发布日期:2017-12-01
通讯作者: Huadong YONG E-mail:yonghd@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 11327802, 11472120, and 11421062), the National Key Project of Magneto-Constrained Fusion Energy Development Program (No. 2013GB110002), and the Fundamental Research Funds for the Central Universities (No. lzujbky-2017-k18)

Degradation of critical current in Bi2212 composite wire under compression load

Zhiyang WANG, Huadong YONG, Youhe ZHOU

Key Laboratory of Mechanics on Environment and Disaster in Western China, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China

Received:2016-11-30 Revised:2017-07-03 Online:2017-12-01 Published:2017-12-01
Contact: Huadong YONG E-mail:yonghd@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11327802, 11472120, and 11421062), the National Key Project of Magneto-Constrained Fusion Energy Development Program (No. 2013GB110002), and the Fundamental Research Funds for the Central Universities (No. lzujbky-2017-k18)

摘要/Abstract

摘要： Since Bi₂Sr₂Ca₁Cu₂O_8+x(Bi2212) wires are subject to mechanical loadings, degradation of critical current will occur. The effect of compressive loadings on the critical current of Bi2212 wire is studied by considering micro-buckling of filament. A Bi2212 wire is regarded as a unidirectional filament-reinforced composite in the theoretical analysis. By considering the influence of inclusion, the micro-buckling wavelength can be derived by using a two-dimensional model. Based on the experimental results, the critical current is fitted as a function of buckling wavelength. It is found that the decrease of the critical current is directly proportional to the reciprocal of square of the buckling wavelength. Change of micro-buckling wavelength with material parameters is discussed. A critical strain in the wire with a filament bridge is analyzed using the finite element method.

关键词: mode Ⅲcrack, near crack line analysis, elastic-plastic, antiplane, point forces, Bi₂Sr₂Ca₁Cu₂O_8+x(Bi2212) wire, wavelength, micro-buckling, critical current

Abstract: Since Bi₂Sr₂Ca₁Cu₂O_8+x(Bi2212) wires are subject to mechanical loadings, degradation of critical current will occur. The effect of compressive loadings on the critical current of Bi2212 wire is studied by considering micro-buckling of filament. A Bi2212 wire is regarded as a unidirectional filament-reinforced composite in the theoretical analysis. By considering the influence of inclusion, the micro-buckling wavelength can be derived by using a two-dimensional model. Based on the experimental results, the critical current is fitted as a function of buckling wavelength. It is found that the decrease of the critical current is directly proportional to the reciprocal of square of the buckling wavelength. Change of micro-buckling wavelength with material parameters is discussed. A critical strain in the wire with a filament bridge is analyzed using the finite element method.

Key words: mode Ⅲcrack, near crack line analysis, elastic-plastic, antiplane, point forces, critical current, micro-buckling, Bi₂Sr₂Ca₁Cu₂O_8+x(Bi2212) wire, wavelength

中图分类号:

74B10

Zhiyang WANG, Huadong YONG, Youhe ZHOU. Degradation of critical current in Bi2212 composite wire under compression load[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(12): 1773-1784.

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Degradation of critical current in Bi2212 composite wire under compression load

Degradation of critical current in Bi2212 composite wire under compression load

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