Resonance vibrations of an elastic interfacial layer

Resonance interfacial phenomena are studied in relation to forced plane vibrations of an elastic layer enclosed between two half-spaces. Complex thickness resonance frequencies are examined for the system in question. An asymptotic approach is developed to analyse “soft” and “hard” interfaces. The applicability of high-frequency long-wavelength one-dimensional models is justified for describing thickness vibrations of a radiating interfacial layer. Numerical results are presented that illustrate the efficiency of the proposed asymptotic expansions by comparing with the exact solution which is expressed in terms of Fourier integrals.