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The Quasi-Static Approximation of Heat Waves in Anisotropic Thermo-Elastic Media

The Quasi-Static Approximation of Heat Waves in Anisotropic Thermo-Elastic Media
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摘要 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. 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.
作者 Shaohua Guo
机构地区 不详
出处 《Applied Mathematics》 2010年第5期411-415,共5页 应用数学(英文)
关键词 ANISOTROPIC Media Thermo-Elastic Model Heat Wave Standard SPACES MODAL EQUATIONS Anisotropic Media Thermo-Elastic Model Heat Wave Standard Spaces Modal Equations
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