On theory of generalized thermoelastic solids with voids and diffusion

Governing equations of thermoelastic diffusion material with voids are modified with the help of Lord and Shulman theory of generalized thermoelasticity. These governing equations are then solved in two-dimension to show the existence of four coupled longitudinal waves and a shear wave. The complex absolute values of the speeds of the coupled longitudinal waves are computed numerically against the frequency for Magnesium material. The reflection of these plane waves from a stress free thermally insulated boundary is also studied, where the dependence of the reflection coefficients on angle of incidence is shown graphically for the incidence of coupled longitudinal wave only. The speeds and reflection coefficients of plane waves are also computed numerically in the absence of voids and diffusion parameters, which are shown graphically to observe the effects of voids and diffusion.

► Wave propagation in thermoelasticity with voids and diffusion is studied.
► One shear and four coupled longitudinal waves exist in the model.
► The coupling between voids and diffusion results into an extra longitudinal wave.
► Reflection of plane waves at free surface is also studied.
► Speeds and reflection coefficients are affected by voids and diffusion parameters.