Stability of magnetic rings
Stability of magnetic rings
复制标题
磁环的稳定性
DOI：
10.1016/j.ijsolstr.2021.111060
复制
发表时间：
2021
影响因子：
3.6
通讯作者：
David Vazquez Cortes
中科院分区：
文献类型：
--
作者：
T. Hoang;David Vazquez Cortes
研究了具有相同磁化强度的永久磁化粒子组成的磁环的线性稳定性。利用拉格朗日方法和多极矩，确定了封闭形式的稳定性判据。然后，我们应用这一准则来描述两种情况下环的稳定性：i)由于中心点偶极子而被偶极载荷压缩和ii)被机械载荷压缩。与以往的研究结果相反，我们发现，在两种情况下，当不稳定发生时，磁环都不会破裂。然而，加载场景决定了磁环首先失去稳定性的失稳模式。对于第一种情况，无论环的尺寸如何，环都通过平面内不稳定模式变形为平面但非圆形。对于另一种情况，环变形为平面但非圆形或非平面形状，分别通过面内或面外不稳定模式，小环尺寸或足够大的环尺寸。最后，对偶极载荷情况进行了简单实验，实验结果与理论预测吻合较好。
Linear stability of magnetic rings consisting of permanently magnetized particles p of the same magnetization is studied. Employing Lagrange’s approach and multipole moments, we determine the stability criterion in closed form. We then apply this criterion to characterize the stability for two scenarios in which the ring is i) compressed by dipolar loading due to a central point dipole and ii) compressed by mechanical loading. In contrast to previous works which show break up of magnetic rings under homogenous external magnetic field when instability occurs, we find that the ring does not break up when instability arises in both situations considered. However, the loading scenario decides instability modes via which the magnetic ring first loses its stability. For the first scenario, the ring deforms into planar but noncircular shapes via in-plane instability modes, regardless of ring sizes. For the other scenario, the ring deforms into planar but noncircular or nonplanar shapes via in-plane or out-of-plane instability modes for, respectively, small ring sizes or sufficiently large ring sizes. Finally, a simple experiment for the case of dipolar loading is proceeded and experimental results show good agreement with theoretical predictions.
影响因子：
1.9
作者：
Hall C
通讯作者：
Hall C