Propagation of waves at an interface between a transversely isotropic rotating thermoelastic solid half space and a fiber-reinforced magneto-thermoelastic rotating solid half space

Abstract

The present investigation is concerned with the reflection and transmission phenomena of plane waves between a rotating thermoelastic transversely isotropic solid half space and a fiber-reinforced thermoelastic rotating solid half space under the effect of a magnetic field. Green–Lindsay and Lord–Shulman theories have been employed for addressing the mathematical analysis. Relevant boundary conditions are considered in order to determine the reflection and transmission coefficients. The phase speeds, reflection and refraction coefficients and energy ratios are computed numerically with the help of MATLAB. The numerical values of the moduli of reflection and transmission coefficients are depicted graphically to estimate and highlight the effects of fiber reinforcement, rotation parameter and angular frequency. The effect of anisotropy on the velocities of the reflected and transmitted waves is also observed. One particular case of interest has also been inferred from the present investigation.