Magnetomechanical Analysis And Numerical Simulation With Meshless Method For The Ferromagnetic Beam-plate Based On Different Magnetoelastic Theoretical Models

Much interest has been recently given to the description of the magneto-elastic behaviors of the ferromagnetic materials and many experiments had been done to research the magneto-elastic buckling and bending behaviors of the ferromagnetic beam-plate in an external applied magnetic field. Because based on the research of this area, the rationality and accuracy of many other magneto-elastic models and the expressions of the magnetic force can be examined. In order to describe the magneto-elastic buckling and bending behavior and the magnetic boundary effect of the ferromagnetic beam-plate under a transverse or an oblique magnetic field, the meshless method is used.The distribution of the magnetic body force, magnetic traction and equivalent in the middle surface under a transverse or an oblique magnetic field in the different couple magnet models and physical models of magnet in Documents, such as Moon-Pao's model, Pao-Yeh's axiomatic model, Eringen-Maugin's rational mechanic model and Zhou-Zheng's generalized megnetoelastic variational model, will be analysed. And the scope of application of these models with different geometric parameters and physical parameters will also be discussed. In addition, the magneto-elastic buckling and bending behaviors of the ferromagnetic materials are simulated based on these models. A qualitative contrast is done between the results of the finite element method and the meshless method.