Love wave propagating in a piezoelectric material structure with a mass layer

An analytical approach is taken to investigate Love wave propagating in layered piezoelectric structure where a thin piezoelectric film with a mass layer bonded to a semi-infinite elastic substrate. The governing equations of Love waves can be obtained on the basis of the linearly piezoelectric theory. The displacements, electric potential, stresses and electric displacement are continuous across the interface of the piezoelectric film and the substrate together with the electrically open and short conditions on the interface of the piezoelectric film and the mass layer. The analytical solution of dispersion relations are obtained for mechanical and electrical boundary conditions for the piezoelectric film of BaTiO3 and the substrate of SiO2. The phase velocity is calculated and figured. The distributions of the displacements, electrical potential and shear stress are also investigated and figured. The effect of the thickness of the mass layer on the properties of the Love waves is discussed in detail.