Reflection of plane waves at the free surface of fiber-reinforced orthotropic thermoelastic rotating half-space with three-phase-lag model

• Consider a fiber-reinforced orthotropic thermoelastic rotating medium under three-phase-lag model. • Reflection phenomena is studied. • Effects of different parameters on reflection coefficients have been depicted graphically. • The expressions of energy ratios have also been obtained in explicit form and are shown graphically. • The sum of energy ratios is also verified and it is equal to unity at each angle of incidence. The present article is concerned with the propagation of plane waves in a homogeneous, fiber-reinforced orthotropic thermoelastic rotating half-space in the context of three-phase-lag model. There exist three coupled waves, namely, quasi-longitudinal P -wave ( q P ) , quasi-longitudinal thermal wave ( q T ) and quasi-transverse wave ( q S V ) in the medium. The reflection coefficients are computed numerically with the help of MATLAB programming and are depicted graphically to show the effects of rotation, fiber-reinforcement and phase lag parameters. 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. Effect of anisotropy is depicted on velocities of various reflected waves. Some particular cases of interest have also been inferred from the present investigation.