The Effect of Diffusion and Microconcentration on Plane Waves in a Generalized Thermoelastic Material

The governing equations for a linear, isotropic, homogeneous, thermoelastic material with diffusion and microconcentration in a plane have been stated in accordance with the Lord and Shulman theory of generalized thermoelasticity. The plane harmonic solutions of these equations have been obtained. It has been shown that there exist four dispersive coupled longitudinal waves and two uncoupled transverse waves. A half-space with thermally insulated surface has been taken for exploring the reflection of these plane waves. For an incident plane wave, the coefficients of reflection and energy shares of the reflected waves have been presented graphically. The numerical results have made possible to observe the effects of the diffusion and microconcentration parameters on the speeds, reflection coefficients, and the energy ratios.