An Energy Method for Analyzing Magnetoelastic Buckling and Bending of Ferromagnetic Plates in Static Magnetic Fields

Based on an energy method analyses of magnetoelastic buckling and bending of ferromagnetic thin plates in transverse, oblique, and longitudinal fields are performed in this paper. A general expression of the critical magnetic field of the plate in a transverse field is presented. It is shown that the critical magnetic field is not only related to the ratio of the thickness to the cantilevered length, but also to the susceptibility and the demagnetizing factors that are primarily dependent on the ratios of the thickness to width and the thickness to the total length. In different cases, main factors that affect the critical magnetic field are discussed. Theoretical predictions agree with experimental results reasonably.