Time harmonic waves in thermoelastic material with microtemperatures

The present study deals with the propagation of time harmonic waves in an infinite thermoelastic medium with microtemperatures within the context of the theory developed by Iesan and Quintanilla (2000). There exist three sets of coupled dilatational waves and a shear wave propagating at distinct speeds. Each set of coupled dilatational waves consists of displacement, micro and macrotemperature fields, while the lone shear wave is no different from that exist in classical elasticity. The reflection phenomenon of these waves from a plane boundary of a thermoelastic half space has been investigated.

► Propagation of steady state time harmonic waves in an infinite thermoelastic medium with microtemperatures has been studied.
► There exist three sets of coupled dilatational waves and a shear wave propagating at distinct speeds.
► All the dilatational waves are found to be attenuating, while the shear wave is nonattenuating. Shear wave is found to be un-affected by the presence of micro and macrotemperatures of the medium.
► Each set of coupled dilatational waves consists of displacement, micro and macrotemperature fields, while the lone shear wave is no different from that exist in classical elasticity.
► The reflection phenomenon of these waves from a stress free plane boundary of a thermoelastic half space has been investigated.