A problem of reflection and transmission of shear waves (SH waves) at a corrugated
interface between two distinct fiber-reinforced elastic half-spaces has been analyzed.
Rayleigh’s method of approximation is used to determine the reflection and
transmission coefficients. We find that (i) these coefficients are functions of the angle
of incidence and the elastic parameters of the media, (ii) the coefficients
corresponding to irregularly reflected and transmitted waves are proportional to the
amplitude of the corrugated interface, and (iii) reflection and transmission coefficients
of the regularly reflected and transmitted waves are greater than those of irregularly
reflected and transmitted waves. The energy ratios of reflected and transmitted waves
are also presented. Numerical computations are performed and the results obtained
are presented graphically. Some earlier results by other workers are recovered by our
treatment.
Keywords
SH waves, fiber reinforcement, Rayleigh's method of
approximation, apparent velocity, reflection coefficient,
transmission coefficient
