Rayleigh waves in a layered piezoelectric nanostructure with surface effects

Abstract eng:
Based on the surface piezoelectricity model, surface effects on the dispersion characteristics of Rayleigh waves in a piezoelectric nanofilm combined with an elastic substrate are investigated. The existence of surface stresses and surface electric displacements exerting on the boundary conditions is taken into account through incorporation of the surface piezoelectric constitutive theory and the generalized YoungLaplace equations. The partial wave technique is employed to derive the analytical expressions of wave fields and electric potential, and the dispersion relations with surface effects are expressed in an explicit closed form. The impacts of surface piezoelectricity, residual surface stress and film thickness on the propagation properties of Rayleigh waves are analyzed in detail. Numerical results show that the dispersion behaviors in the current nanostructure are size-dependent, and there exists a critical film thickness above which the surface effects may vanish.

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