Flexural Waves in an Electrically Short Hard Dielectric and Functionally Graded Piezoelectric Layer

Abstract: With electrically short and traction free boundaries, a two layered structure consists of hard dielectric and functionally graded materials are taken for investigating the behaviour of flexural waves. In the functionally graded layer, the materials properties are varying quadratically. The approach is analytical to get the solution of both layers. A dispersion relation with the posed conditions at boundaries and interface is obtained in the form of determinant of order 8. For numerical results the particular model has been taken in account consists of the hard dielectric layer as SiO₂ glass while other as ZnO substrate. For elucidation of numerical results, the graphs are made for phase velocity against wave number, phase velocity against frequency and frequency against wave number.