The comparisons of thermo-elastic waves for Lord-Shulman mode and Green-Lindsay mode based on Guo’s eigen theory

• Published in: Acta mechanica Vol. 222; no. 3-4; pp. 199 - 208
• Main Author: Guo, S. H.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.12.2011; Springer; Springer Nature B.V
• Subjects: Analysis; Analytical and numerical techniques; Anisotropic media; Anisotropy; Classical and Continuum Physics; Conduction; Control; Dissipation; Dynamical Systems; Elastic anisotropy; Engineering; Engineering Thermodynamics; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Heat and Mass Transfer; Heat conduction; Heat transfer; Laws, regulations and rules; Materials elasticity; Mathematical analysis; Mathematical models; Physics; Propagation; Solid Mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Theoretical and Applied Mechanics; Thermodynamics; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Wave propagation; Heat Wave; Anisotropic Medium; Heat Conduction Equation; Elastic Wave; Elastic Solid; Wave equation; Isotropic medium; Heat equation; Equation of motion; Thermomechanical properties; Thermoelasticity; Elastic wave; Elastodynamics; Green function; Modeling; Heat transfer; Thermal conduction
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-011-0526-7

The motion equations of anisotropic media, coupled to the heat conduction equations, are studied here based on the L-S model and the G-L model. The complete set of uncoupled elastic and heat wave equations for anisotropic media are deduced. The results show that the L-S model is suitable for elastic materials and the G-L model is more suitable for dissipative materials. Based on these laws, we discuss the propagation behaviors of heat wave and elastic waves for isotropic media.