Waves due to corrugated interface in incompressible transversely isotropic fiber-reinforced elastic half-spaces

Abstract

The scattering of shear waves at an irregular interface between two different incompressible transversely isotropic fiber-reinforced half-spaces has been investigated. There can exist reflected and transmitted quasi shear waves in certain limit of propagation angle, which is associated with slowness. The expressions corresponding to the reflection and transmission coefficients are obtained by using Rayleigh’s technique. These coefficients and energy ratios for irregular waves are computed numerically for a specific model, $x_2=d\hspace{0.17em}\text{cos}\hspace{0.17em}p{x}_1$ to validate the results. We have observed that these coefficients and ratios are functions of elastic constants, incidence angle, unit displacement vector, frequency and corrugation parameters.

Keywords:

• Corrugation
• fiber-reinforced
• frequency
• incompressible
• reflection and transmission coefficients