Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate
K Hemalatha, S. Kumar, D. Prakash
Abstract
The Rayleigh wave propagation in a functionally graded piezoelectric layer over elastic substrate have been considered. The material gradient is taken as exponentially varying in the layer. The dispersion relation is obtained for electrically open and short cases in the form of determinant. The novelty of the current work is that the solution is obtained analytically with variable separable method approach to convert partial differential equations to ordinary differential equations and following orthodox method to get the final solution which is not considered in the existing literature. The numerical analysis of the results has been aided by the deployment of a particular model. In general, the wave number decreases as the inhomogeneity parameter rises, while the layer thickness and velocity have systemic impacts. The results have been discussed through graphs which are plotted with help of Mathematica 7. The impacts of inhomogeneity and layer thickness are taken into account. Similar characteristics can be seen in the phase shift for these parameters. The results attained can be used to enhance piezoelectric devices.