利用磁弹性耦合问题的线性化理论,采用分离变量方法对带圆孔的无限大板在受拉应力和横向磁场共同作用下的变形扰动磁场进行了求解,得到了变形引致的扰动磁场的解析解,并对其强度量级和分布情况进行了讨论.结果表明,变形扰动磁场场强与外力成正比;与无变形磁场强度相比,变形扰动磁场小3个量级,但波峰波谷数目增加,且在圆孔边界径向扰动磁场强度迅速衰减.
Based on the linearized magnetoelastic theory, analytical solution of the perturbed magnetic field in an infinite plate by a circular hole under extension and an external magnetic field was obtained in this paper. The results show that the perturbed magnetic field induced by mechanical deformations is 3 orders in magnitude smaller than the magnetic field without mechanical deformations 4 peaks and vales present for the perturbed magnetic field along the hole boundary, while only 2 peaks and vales present for a deformation-free magnetic field. It's also found that the intensity of the perturbed magnetic field decays very rapidly in the radius direction of the hole.