Characteristics of waves in a functionally graded magneto - electro - elastic plate

Material parameters were supposed to have a gradient change in the thickness direction. The functionally graded electro-magneto-elastic plate was divided into layer elements along the thickness direction. The governing equations of an element were obtained, and then the governing equations of the elements were assembled into the total equations. The dispersion curves of waves in the functionally graded electro-magneto-elastic plate can be obtained by the solution of the governing equations. The effects of the parameters of the electric and magnetic materials on the dispersion of wave were analyzed. The displacement and electrostatic potential and magneto-static potential distributions of the wave modes were investigated. The six characteristic surfaces of the wave were analyzed. The numeric results show that the elastic displacement, static electro potential and static magneto potential distribution converge on the thickness direction of the smaller parameters. The functionally graded electro-magneto-elastic material is orthotropic.