Reflection at the free surface of fiber-reinforced thermoelastic rotating medium with two-temperature and phase-lag

Abstract

• Wave propagation in a fiber-reinforced thermoelastic rotating medium is considered. • Two-temperature dual-phase-lag theory has been employed for addressing the mathematical analysis. • Effects of different parameters on reflection coefficients have been depicted graphically. • Reflection coefficients and energy ratios for reflected quasi waves are presented in closed form. • It is proved that at each angle of incidence the energy balance law is satisfied at the free surface. The present investigation is concerned with the reflection of plane waves from the free surface of a homogeneous, anisotropic , fiber-reinforced thermoelastic rotating medium under two-temperature and dual-phase-lag model. It has been observed that three coupled plane waves travel in the medium with distinct speeds. Using appropriate boundary conditions, the amplitude and energy ratios for the reflected waves are derived and the numerical computations have been carried out with the help of MATLAB programming. The numerical values of the modulus of reflection coefficients are presented graphically to exhibit the two-temperature, phase lag and rotation parameter effects. The expressions of energy ratios have also been obtained in explicit form and are shown graphically as functions of angle of incidence. It has been verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence.