Abstract
We discuss the reflection of thermoelastic plane waves at a solid
half-space nearby a vacuum. We use the generalized thermoelastic
waves to study the effects of one or two thermal relaxation times
on the reflection plane harmonic waves. The study considered the
thermal and the elastic waves of small amplitudes in a homogeneous,
isotropic, and thermally conducting elastic solid. The expressions
for the reflection coefficients, which are the ratio of the
amplitudes of the reflected waves to the amplitude of the incident
waves are obtained. It has been shown, analytically, that the
elastic waves are modified due to the thermal effect. The
reflection coefficients of a shear wave that incident from within
the solid on its boundary, which depend on the thermoelastic
coupling factor and included the thermal relaxation times, have
been found in the general case. The numerical values of reflection
coefficients against the angle of incidence for different values of
thermal relaxation times have been calculated and the results are
given in the form of graphs. Some special cases of reflection have
also been discussed, for example, in the absence of thermal effect
our results reduce to the ordinary pure elastic case.
Citation
ID:
254524
Ref Key:
abd-alla2000internationalthe