含夹杂超导体中共线裂纹的相互作用

兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (4): 163-167.

含夹杂超导体中共线裂纹的相互作用

赵玉峰^*, 徐涛

兰州理工大学理学院, 甘肃兰州 730050

收稿日期:2021-11-24 出版日期:2022-08-28 发布日期:2022-10-09
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),甘肃省高校青年博士基金(2021QB-040)

Interaction of collinear double cracks in superconductor slab with inclusions

ZHAO Yu-feng, XU Tao

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

Received:2021-11-24 Online:2022-08-28 Published:2022-10-09

摘要/Abstract

摘要： 建立一个含有圆形夹杂和纵向贯穿共线裂纹的YBCO超导平板模型,在外加磁场产生洛伦兹力的作用下,研究含有夹杂的YBCO超导体中两个共线裂纹的相互作用,采用Bean模型描述超导体的电磁行为.通过确定裂纹尖端的应力强度因子(SIFs)并进行相关的磁弹性应力分析.结果表明外磁场大小、粘性磁通量流速v₀夹杂物的大小、裂纹长度、夹杂半径以及夹杂与基体杨氏模量之比对应力强度因子都有影响.

关键词: 共线裂纹, 夹杂, 应力强度因子

Abstract: A YBCO superconducting slab model with circular inclusion and longitudinal through collinear crack is established. Under the action of Lorentz force generated by external magnetic field, the interaction between two collinear cracks in YBCO superconductor with inclusion is studied, and the Bean model is used to describe the electromagnetic behavior of the superconductor. The stress intensity factor (SIF) at the crack tip is determined and the related magnetoelastic stress analysis is conducted. The results show that the size of external magnetic field, viscous magnetic flux flow velocity v₀, inclusion size, crack length, inclusion radius and the ratio of inclusion to matrix Young’s modulus all have an effect on the stress intensity factor.

Key words: collinear double crack, inclusion, stress intensity factor

中图分类号:

O346.1

赵玉峰, 徐涛. 含夹杂超导体中共线裂纹的相互作用[J]. 兰州理工大学学报, 2022, 48(4): 163-167.

ZHAO Yu-feng, XU Tao. Interaction of collinear double cracks in superconductor slab with inclusions[J]. Journal of Lanzhou University of Technology, 2022, 48(4): 163-167.

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