Analysis of guided wave propagation in functionally graded magneto-electro elastic composite

In the present work, the general stiffness matrix method is extended in the case of a functionally graded magneto-electro-elastic plate to analyze the free vibration response of a functionally graded composite plate. The material properties are assumed to be continuously graded in the thickness direction. The novelty of this paper is to utilize this efficient method to the dynamic analysis of a wide range of composite (multilayer) plates, with linear or non-linear thickness profiles, and functionally graded in the thickness, without any limitation. The convergence of this method is thoroughly discussed. Here, the converged results are obtained when the number of sub-layer is N≤11. A parametric study was also conducted to show the effect of gradation of mechanical properties of the composite on the phase velocity and the modal shape. The dynamic model developed here can be used in the graded material design of the functionally graded piezoelectric-piezomagnetic (noted FGPPM) composite plate for achieving specified dynamic characteristics.