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

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Degradation of critical current in Bi2212 composite wire under compression load

Zhiyang WANG, Huadong YONG, Youhe ZHOU   

  1. 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)

Abstract: Since Bi2Sr2Ca1Cu2O8+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, Bi2Sr2Ca1Cu2O8+x(Bi2212) wire, wavelength

2010 MSC Number: 

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