期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2005
卷号：2005
DOI：10.1155/IJMMS.2005.99
出版社：Hindawi Publishing Corporation
摘要：A study is made of the propagation of time-harmonic plane
thermoelastic waves of assigned frequency in an infinite
rotating medium using Green-Naghdi model (1993) of linear
thermoelasticity without energy dissipation. A more general
dispersion equation is derived to examine the effect of
rotation on the phase velocity of the modified coupled
thermal dilatational shear waves. It is observed that in
thermoelasticity theory of type II (Green-Naghdi model), the
modified coupled dilatational thermal waves propagate
unattenuated in contrast to the classical thermoelasticity
theory, where the thermoelastic waves undergo attenuation
(Parkus, Chadwick, and Sneddon). The solutions of the more
general dispersion equation are obtained for small
thermoelastic coupling by perturbation technique. Cases of
high and low frequencies are also analyzed. The rotation of
the medium affects both quasielastic dilatational and shear
wave speeds to the first order in ω
for low frequency, while the quasithermal wave speed is affected by rotation up
to the second power in ω. However, for large frequency,
rotation influences both the quasidilatational and shear wave
speeds to first order in ω and the quasithermal wave
speed to the second order in 1/ω.
