The thermo-electromagnetic waves in piezoelectric solids

• Published in: Acta mechanica Vol. 219; no. 3-4; pp. 231 - 240
• Main Author: Guo, S. H.
• Format: Journal Article
• Language: English
• Published: Vienna Springer Vienna 01.07.2011; Springer; Springer Nature B.V
• Subjects: Analysis; Analytical and numerical techniques; Anisotropic media; Anisotropy; Applied classical electromagnetism; Classical and Continuum Physics; Control; Differential equations; Dynamical Systems; Eigenvalues; Electric waves; Electromagnetic radiation; Electromagnetic wave propagation, radiowave propagation; Electromagnetic waves; Electromagnetics; Electromagnetism; Electromagnetism; electron and ion optics; Engineering; Engineering Thermodynamics; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Heat and Mass Transfer; Heat conduction; Heat conductivity; Heat transfer; Mathematical analysis; Mathematical models; Maxwell's equations; Physics; Piezoelectricity; Solid Mechanics; Structural and continuum mechanics; Theoretical and Applied Mechanics; Vibration; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Wave propagation; Dielectric Permittivity; Heat Wave; Anisotropic Medium; Heat Conduction Equation; Thermal Relaxation Time; Constitutive equation; Wave equation; Heat equation; Low speed; Equilibrium equation; Modeling; Electromagnetic wave; Strain wave; Piezoelectric materials; Electromagnetic wave propagation; Piezoelectricity; Maxwell equation; Heat transfer; Thermal conduction; Electromechanical properties
• ISSN: 0001-5970; 1619-6937
• DOI: 10.1007/s00707-011-0456-4

The Maxwell’s equation and stress equilibrium equation of anisotropic media, coupled to the heat conduction equation, are studied here based on the eigen theory of physical presentation, in which a new thermo-piezoelectric constitutive model is induced. The complete sets of uncoupled thermo-electromagnetic wave equations for piezoelectric solids are deduced. The results show that the equations of electromagnetic waves in anisotropic media subjected to heat become fourth order differential ones, and from them, a new phenomenon of thermo-electromagnetic waves with low propagation speed is obtained. In the final part of this paper, we discuss the propagation behavior of the new thermo-electromagnetic waves in the piezoelectric material of class 6 mm.