高温超导体中磁通粘性流动对动态应力强度因子的影响

兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (1): 168-172.

• 数理科学 • 上一篇

高温超导体中磁通粘性流动对动态应力强度因子的影响

赵玉峰^*, 张淼

兰州理工大学理学院, 甘肃兰州 730050

收稿日期:2020-11-17 出版日期:2022-02-28 发布日期:2022-03-09
通讯作者: 赵玉峰(1981-),男,青海西宁人,博士,教授.Email:zhaoyf@lut.edu.cn
基金资助:
国家自然科学基金(11862013),甘肃省自然科学基金(21JR7RA210),甘肃省高等学校青年博士基金(2021QB-040)

Effects of magnetic flux viscosity flow on dynamic stress intensity factor in high temperature superconductor

ZHAO Yu-feng, ZHANG Miao

School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2020-11-17 Online:2022-02-28 Published:2022-03-09

摘要/Abstract

摘要： 建立一个简易的高温超导材料模型,将含有中心裂纹的超导圆柱置于下降的外磁场中.采用平面应变理论等方法,计算出超导圆柱中的洛伦兹力随时间的变化关系,采用ABAQUES有限元分析的方法,求解出随时间变化的动态应力强度因子.通过改变磁通粘滞流动速度、裂纹的长度和外加最大磁场,得到动态应力强度因子在不同条件下的变化过程.结果表明:磁通粘滞流动的存在改变了超导圆柱俘获磁场的分布,显著的增大了超导圆柱动态应力强度因子的峰值,提高了动态应力强度因子上升的速率.在对高温超导体各方面的研究中,磁通粘滞流动是不应该忽略的.

关键词: 动态应力强度因子, 磁通粘滞流动, 高温超导体

Abstract: Establish a simple high-temperature superconducting material model: place a superconducting cylinder with a central crack in a falling external magnetic field. Using plane strain theory and other methods, the relationship of the Lorentz force in the superconducting cylinder with time is calculated, and the ABAQUES finite element analysis method is used to solve the time-varying dynamic stress intensity factor. By changing the viscous flow velocity of the magnetic flux, the length of the crack and the maximum applied magnetic field, the change process of the dynamic stress intensity factor under different conditions can be obtained. The results show that the existence of viscous flow of magnetic flux changes the distribution of the trapped magnetic field of the superconducting cylinder, significantly increases the peak value of the dynamic stress intensity factor of the superconducting cylinder, and increases the rate of increase of the dynamic stress intensity factor. In the study of various aspects of high-temperature superconductors, the viscous flow of magnetic flux should not be ignored.

Key words: dynamic stress intensity factor, magnetic flux viscous flow, high-temperature superconductor

中图分类号:

O346.1

赵玉峰, 张淼. 高温超导体中磁通粘性流动对动态应力强度因子的影响[J]. 兰州理工大学学报, 2022, 48(1): 168-172.

ZHAO Yu-feng, ZHANG Miao. Effects of magnetic flux viscosity flow on dynamic stress intensity factor in high temperature superconductor[J]. Journal of Lanzhou University of Technology, 2022, 48(1): 168-172.

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高温超导体中磁通粘性流动对动态应力强度因子的影响

Effects of magnetic flux viscosity flow on dynamic stress intensity factor in high temperature superconductor

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