首页|极低温环境下立方相和四方相Nb3Sn超导晶体力学及力-电耦合行为分析

极低温环境下立方相和四方相Nb3Sn超导晶体力学及力-电耦合行为分析

Comparative studies on the electromechanical coupling responses of cubic and tetragonal Nb3Sn at extremely low temperature

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Nb3Sn超导相转变中的力电耦合效应给超导磁体装备的电磁性能指标和安全运行带来不利影响.鉴于Nb3Sn具有立方相和四方相两种相结构,建立了 Nb3Sn立方相、四方相和混合相晶体力学模型,以及考虑变形-临界温度退化和变形-正常态电阻率变化的力电耦合响应模型.研究结果表明,相结构会导致单晶体弹性力学性能有所区别,但静水压作用下不同相结构的Nb3Sn多晶体,其局部应力状态与相结构无关,仅取决于晶粒形貌和取向.由于不同的相结构在外载下的费米面上电子态密度的演变规律基本一致,使得变形诱导的临界温度退化行为对相结构没有依赖性.对于混合相Nb3Sn正常态电阻率变化而言,温度低于马氏体相变温度时,可以采用基于电子-电子散射假设得到的T2规律来描述;当温度高于马氏体相变温度时,由于四方相向立方相的转变,需要考虑电-声子耦合作用对正常态电阻率的贡献,可以采用拓展的Woodard-Cody电阻率模型来描述宏观电阻率的应变效应.研究结果提高了对不同相的临界性能退化机理的认识.
The superconductor Nb3Sn has demonstrated great potential for its applications in the manufac-turing of high field superconducting magnets and superconducting resonant cavities.The electromechanical coupling effect involved in the superconducting transition of Nb3Sn has adverse effects on the electromag-netic performance and safe operation of superconducting magnets.In view of the fact that Nb3Sn has two phase structures:cubic phase and tetragonal phase,based on the results of the first principles and the poly-crystalline finite element calculation,the mechanical models of cubic Nb3Sn,tetragonal Nb3Sn as well as the mixture of the cubic phase and the tetragonal phase are established.The electromechanical coupling model,accounting for the mechanical deformation induced critical temperature degradation and the strain-dependent normal-state resistivity variations,is also developed.The results indicate that the phase structure will lead to the difference in the elastic properties of single crystal;however,the local stress state of poly-crystalline Nb3Sn with different phase structures under hydrostatic pressure is independent of the phase structure,and the grain boundary stress concentration depends only on the grain morphology and orienta-tion.The evolution of the electronic density of states at the Fermi surface under external loading is basical-ly the same for the different phase structures,which makes the mechanical deformation-induced critical temperature degradation response independent of the phase structure.The normal state resistivity variation of the mixed phase Nb3Sn can be characterized by the T2 law based on the assumption of electron-electron scattering if the temperature is lower than the martensitic transition temperature.When the temperature is higher than the martensitic phase transition temperature,the contribution of electron-phonon coupling to the normal state resistivity should be considered because the cubic phase transforms into a tetragonal phase;thus the extended Woodard-Cody resistivity model can be used to describe the strain effect of mac-roscopic resistivity.The results of this paper enhance the understanding of the mechanism of the degrada-tion of the critical temperature and provide some basis for understanding the effect of phase structure on the critical properties and normal state resistivity of Nb3Sn.

Nb3Sntetragonal phasecubic phaseelectromechanical coupling effect

王涛、何宇新、乔力

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太原理工大学机械与运载工程学院应用力学研究所,030024太原

Nb3Sn 四方相 立方相 力-电耦合效应

国家自然科学基金资助项目

11772212

2024

应用力学学报
西安交通大学

应用力学学报

CSTPCD北大核心
影响因子:0.398
ISSN:1000-4939
年,卷(期):2024.41(4)
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