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力学学报  2005 

The propagation of generalized rayleigh waves in a coated material
薄膜涂层材料中的广义瑞利波

Keywords: coated material,generalized Rayleigh waves,surface waves,dispersion equation,low layer,fast layer
涂层材料
,广义瑞利波,表面波,频散方程,慢层,快层

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Abstract:

Based on the linear elastodynamics theory, an analytical model is established for the propagation of generalized Rayleigh waves in a coated structure. Moreover, the dispersion equation is derived from the wave motion equations and the boundary conditions. The theoretical solutions of the phase velocity are obtained for the cases of different ratios of the coating thickness to the wavelength, and different density ratios of the coating to the substrate, by considering respectively the influence of low layers and fast layers on the phase velocity. In the numerical examples, the phase velocities, group velocities and the attenuating amplitudes of displacement and stress component in a slow layer structure are compared with those in a fast layer structure. Besides, the model and the analysis are validated by comparing with those in the references. This paper provides a theoretical basis to determine the material parameters of various coating media by means of surface wave method.

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