The steady time-harmonic problem is reduced to a system of singular integral equations for determining the tractions generated at the interface between the plate and half space where a thin viscous couplant is applied. These equations are found to have different types of singular solutions depending on the parameter values. They are solved numerically for a specific set of physical parameters that includes a wide range of values of the couplant viscosity and incident wavelength. The reflected and transmitted powers are calculated and the reflected power is plotted as a function of incident wavelength for various values of couplant viscosity. The wavelengths at which resonances occur in these functions are found to be strongly dependent on the couplant.
Scattering of Rayleigh Waves by a Plate Attached to a Half Space Through a Viscous Couplant
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Angel, Y. C., and Bogy, D. B. (December 1, 1981). "Scattering of Rayleigh Waves by a Plate Attached to a Half Space Through a Viscous Couplant." ASME. J. Appl. Mech. December 1981; 48(4): 881–888. https://doi.org/10.1115/1.3157750
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