椭圆孔对俘获场超导体应力分布的影响  

Effects of an elliptic hole on the stress distribution in the superconducting trapped-field magnet

作　　者：曾军[1] 周又和[1] 

机构地区：[1]兰州大学西部灾害与环境力学教育部重点实验室,兰州730000

出　　处：《兰州大学学报（自然科学版）》2009年第2期103-107,共5页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(10472038);教育部长江学者创新团队项目(IRT0628)

摘　　要：根据高温超导体受电磁力作用的受力机制,研究了具有中心椭圆孔的超导体内应力和位移的分布.利用了Bean临界态模型和有限元方法,首先讨论了中心椭圆孔长短轴之比对超导体内应力和位移分布的影响,继而分析了不同磁场条件对超导体内应力和位移分布的影响.结果表明:由于应力集中的影响,随着椭圆孔长短轴之比的增大,超导体内径向应力和环向应力只在孔附近显著增大,而位移变化都很小;随着外磁场的减小,径向应力和位移的最大值先增大后减小,而环向应力的最大值不断增大.Based on the mechanism of electromagnetic force in the high-temperature superconductor, the distributions of stress and displacement in a superconductor with a central elliptic hole were investigated. The Bean model of critical state and the finite element method were applied. The effects of the ratio of the major axis and the minor axis on the distributions of stress and displacement in superconductors were first discussed and, then, the effects of different conditions of the magnetic field on the distributions of stress and displacement were analyzed. Numerical results obtained show that, due to the effect of stress concentration, as the ratio of the major axis and the minor axis becomes larger, the radial stress and hoop stress in superconductor just increase significantly in the vicinity of the hole. However, the displacement changes very little all along. As the magnetic field becomes smaller, the maximum of radial stress and displacement increases first and then decreases, but the maximum of hoop stress increases gradually.

关 键 词：高温超导体 Bean临界态模型 磁通钉扎 俘获场 

分 类 号：O334.1[理学—一般力学与力学基础] O511.4[理学—力学]