Magnetoelastic Effect Analysis of a Thin Current-Carrying Plate in an Invariable Magnetic Field

Abstract

In this paper, the nonlinear magnetoelastic kinetic equations and the electrodynamics equations of a thin current-carrying plate under the action of a coupled field are given. Using the difference and quasi-linearization methods, the nonlinear magnetoelastic equations are reduced to a sequence of quasilinear differential equations, which can be solved by the discrete-orthogonalization method. The stresses and deformations in a thin current-carrying plate under the interaction of an electromagnetic field and mechanical load are calculated, and the magnetoelastic effect on the plate by the side electric current and magnetic induction intensity is studied. Numerical results show that the states of the strains and stresses in thin plates can be controlled by changing the electromagnetic parameters.