Scattering of Rayleigh Waves by a Plate Attached to a Half Space Through a Viscous Couplant

[+] Author and Article Information
Y. C. Angel, D. B. Bogy

Department of Mechanical Engineering, University of California, Berkeley, Calif. 94720

J. Appl. Mech 48(4), 881-888 (Dec 01, 1981) (8 pages) doi:10.1115/1.3157750 History: Received September 01, 1980; Revised March 01, 1981; Online July 21, 2009


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.

Copyright © 1981 by ASME
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