Reflection of plane waves in the hygro-thermoelastic solids with multi-temperature in context of dual phase lag model

This study investigates the reflection of plane waves in a dual-phase-lag hygro-thermoelastic medium incorporating multi-temperature theory. The framework integrates heat conduction and moisture diffusion equations to account for wave propagation, while multi-temperature theory distinguishes between conductive and thermodynamic temperatures, encompassing one-temperature, classical two-temperature, and hyperbolic two-temperature models. Governing equations for the coupled fields of displacement, temperature and moisture are derived and for a half-space medium. Plane wave solution shows the existence of three coupled longitudinal waves and one transverse shear wave, with expressions for phase velocity and reflection coefficients are obtained for the incident wave. Numerical results demonstrate the frequency dependence of reflection coefficients and phase velocities highlighting the influence of multi-temperature parameters and phase lags on wave propagation and reflection behavior.