The present paper is concerned with the propagation of plane waves in an isotropic
generalized thermoelastic solid half-space with two temperatures. The governing
equations are modified in the context of the Lord–Shulman theory of generalized
thermoelasticity and are solved to show the existence of three plane waves, namely,
, thermal, and
waves in the
-
plane. The reflection of the
and
waves from a thermally insulated free surface is studied to obtain the reflection
coefficients in closed form. For numerical computations of the speeds and reflection
coefficients, a particular material is chosen. The speeds of the plane waves are shown
graphically against the two-temperature parameter. The reflection coefficients are
also shown graphically against the angle of incidence for different values of the
two-temperature parameter.