Investigation of the surface horizontally shear waves in a functionally graded magneto-electro-elastic plate

Based on the linear-elastic theories, the differential equations of the horizontally shear waves in a functionally graded magneto-electro-elastic plate are solved by the power series technique. The phase velocity equations for the electromagnetic open and shorted cases are respectively obtained. Numerical simulation is carried out concerning the change of the phase velocity with the material coefficients graded variation. The results obtained indicate that effect of coefficient variation in linear pattern on the change of phase velocity is more obvious than that of in quadratic pattern when the elastic coefficient, the piezoelectric coefficient or the piezomagnetic coefficient changes individually. Simultaneously, the effect caused by the variation of elastic coefficient is the most significant. Compared with it, the effect due to the piezomagnetic coefficient is so small that can be ignored.