Wave propagation in porous thermoelasticity with two delay times

Plane time-harmonic waves with assigned wavelength are supposed to propagate in an infinite linear thermoelastic space: The thermodynamic response is framed into the time differential dual-phase-lag model, while Cowin–Nunziato theory used depict effect of porosity for elastic part. We able show that it possible identify two shear waves, undamped and not affected by and/or temperature, as well four longitudinal (a quasi-elastic wave, a quasi-pore quasi-thermal mode, quasi-phase-lag thermal wave); corresponding dispersion relation presented like seventh-degree algebraic equation. numerical simulations graphs effects various elasto-porous-thermal couplings on characteristics waves. work has be intended evolution and, at same time, point synthesis respect similar previous studies which took account, exclusively, or double delay presence voids.