Thermoelastic waves in a fractional-order initially stressed micropolar diffusive porous medium

The research article is the analysis of wave propagation in an initially stressed micropolar fractional-order derivative thermoelastic diffusion medium with voids. The governing equations in the context of generalized fractional-order derivative thermo-elasticity are formulated and the velocity equations are obtained. The plane wave solution of these equations indicates the existence of six plane waves, namely coupled longitudinal displacement ( c L ), coupled thermal ( c T ), coupled mass diffusion ( c M D ), coupled longitudinal void volume fraction ( c V ), coupled transverse displacement ( c T D ), and coupled transverse micro-rotational ( c T M ) waves. The sets of coupled waves ( c L ), ( c T ), ( c M D ) and ( c V ) are found to be dispersive, attenuating and influenced by the presence of thermal, diffusion and voids parameters in the medium. The speeds of coupled transverse displacement ( c T D ), and coupled transverse micro-rotational ( c T M ) waves are not affected by thermal, diffusion and void parameters. The speeds of the plane waves, c L , c T , c M D , and c V are computed for a particular material and plotted against the thermal parameter, frequency, initial stress, diffusion and void parameters.