TITLE:
The Quasi-Static Approximation of Heat Waves in Anisotropic Thermo-Elastic Media
AUTHORS:
Shaohua Guo
KEYWORDS:
Anisotropic Media, Thermo-Elastic Model, Heat Wave, Standard Spaces, Modal Equations
JOURNAL NAME:
Applied Mathematics,
Vol.1 No.5,
December
1,
2010
ABSTRACT: The equilibrium equations of anisotropic media, coupled to the heat conduction equations, are studied here based on the standard spaces of the physical presentation, in which an new thermo-elastic model based on the second law of thermodynamics is induced. The uncoupled heat wave equation for anisotropic media is deduced. The results show that the equation of heat wave is of the properties of dissipative waves. In final part of this paper, we discuss the propagation behaviour of heat waves for transversely isotropic media.