Flux-pinning-induced stress and strain in superconductors: Case of a long circular cylinder
Flux-pinning-induced stress and strain in superconductors: Case of a long circular cylinder
复制标题
DOI：
10.1103/physrevb.60.9690
复制
发表时间：
1999-10
影响因子：
3.7
通讯作者：
T. Johansen
中科院分区：
文献类型：
--
作者：
T. Johansen
分析了置于平行磁场中的长圆柱形超导体中磁钉诱导的应力和应变的不可逆行为。一个精确的全三维解~3D！发现了磁弹性问题。该解决方案不同于以往对同一问题的简化二维平面应力处理。我们推导了所有应力和应变分量的公式，包括磁致伸缩DR/R，根据圆柱体中的磁通密度分布。结果适用于任何临界状态模型jc5 jc (B)。基于Bean模型，jc5const，广泛地分析了~1！零场冷却后一个完整的场循环，~2！磁场冷却后磁场下降到剩余状态。特别强调的是产生拉伸应力的现场扫描阶段，这往往会在气缸中产生裂纹。比较了两种工艺中所遇到的总最大拉伸应力~1！~ 2 !例如，今天人们用它来激活超导阱场或准永久磁铁。@s0163——1829 ~ 99 !06437 - 1 #
The irreversible behavior of the flux-pinning-induced stress and strain in a long circular cylindrical superconductor placed in a parallel magnetic field is analyzed. An exact solution of the full three-dimensional ~3D! magnetoelastic problem is found. The solution differs from the previous simplified 2D plane stress treatments of the same problem. We derive formulas for all stress and strain components, including the magnetostriction DR/R, in terms of the flux density profile in the cylinder. The results are valid for any critical-state model j c5 j c(B). Based on the Bean model, j c5const, an extensive analysis is made of the elastic behavior during ~1! a complete field cycle after zero-field cooling, and~2! field descent to the remanent state after field cooling. Special emphasis is put on the field-sweep stages generating tensile stresses, which tend to create cracking in the cylinder. A comparison is made between the overall maximum tensile stresses encountered in both processes ~1! and ~2!, which one today uses, e.g., to activate superconducting trapped-field or quasipermanent magnets. @S0163-1829~99!06437-1#