SH surface acoustic wave propagation in functionally graded piezoelectric material structure with dissipation

We investigate the effect of the viscous dissipation and the graded factor of functionally graded piezoelectric material (FGPM) on the dispersive and attenuated characteristics of SH surface acoustic wave propagation in a layered piezoelectric structure, which involves a thin FGPM layer bonded perfectly to an unbounded elastic substrate. The piezoelectric material is polarized in z-axis direction and the material properties change gradually along the thickness of the layer. The solutions of dispersion relations are obtained for electrically open or shorted conditions by means of transformation matrix method. The effects of the gradient variation of material constants on the phase velocity and attenuation, distribution of displacement, electric potential and shear stress are presented and discussed in detail. The analytical method and the results can be useful for the design of the resonators and sensors.