Bending of a Saturated Ferromagnetoelastic Plate Under a Local Mechanical Load

Abstract

We study the bending of a magnetically saturated ferromagnetoelastic plate. The plate is rectangular and simply-supported along its edges. It is under a local distribution of normal mechanical load on its top surface, simulating a mechanical probe or manipulation of the magnetization field. The three-dimensional equations of saturated ferromagnetoelasticity for small fields superposed on finite biasing fields due to spontaneous magnetization are used. The plate is effectively piezomagnetic under the biasing fields. A trigonometric series solution is obtained. The perturbation of the magnetization field by the mechanical load is calculated and examined. It is found that the magnetization is sensitive to the mechanical load, particularly near the loading area. The perturbation of the magnetization is found to be associated with the transverse shear stresses in bending.