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:2000
卷号:23
DOI:10.1155/S0161171200001356
出版社:Hindawi Publishing Corporation
摘要:The generalized dynamical theory of thermo-elasticity proposed by
Green and Lindsay is applied to study the propagation of
harmonically time-dependent thermo-visco-elastic plane waves of
assigned frequency in an infinite visco-elastic solid of
Kelvin-Voigt type, when the entire medium rotates with a uniform
angular velocity. A more general dispersion equation is deduced to
determine the effects of rotation, visco-elasticity, and
relaxation time on the phase-velocity of the coupled waves. The
solutions for the phase velocity and attenuation coefficient are
obtained for small thermo-elastic couplings by the perturbation
technique. Taking an appropriate material, the numerical values of
the phase velocity of the waves are computed and the results are
shown graphically to illustrate the problem.