Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Kovalev V. A., Radayev Y. N. On Wavenumbers of Plane Harmonic Type III Thermoelastic Waves. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, vol. 10, iss. 3, pp. 46-53. DOI: 10.18500/1816-9791-2010-10-3-46-53

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
15.07.2010
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Language: 
Russian
Heading: 
Mechanics
UDC: 
539.374
DOI: 
10.18500/1816-9791-2010-10-3-46-53

On Wavenumbers of Plane Harmonic Type III Thermoelastic Waves

Autors: 
Kovalev Vladimir Aleksandrovich, Moscow City Government University of Management Moscow, Russia
Radayev Yuri Nickolaevich, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences
Abstract: 

The present study is devoted to propagation of plane harmonic GNIII thermoelastic waves by the coupled system of linear equations of motion and heat transport based on the Green & Naghdi theory of thermoelasticity. Analytical findings and exact solutions are primarily related to complex wavenumbers, phase velocities and attenuation coefficients of the plane GNIII-thermoelastic waves. Complete analysis of all analytical branches of the wavenumbers is given. Constitutive inequlities and frequency restrictions which provide a normal behaviour of the plane GNIII-thermoelastic waves are obtained. Limiting cases, including those corresponding to GNI/CTE (the classical theory) and GNII (hyperbolic, thermal energy conserving theory) thermoelasticity, are noted. The paper presents an in-depth analysis of plane thermoelastic waves in the context of GNI,II,III.  

Key words: 
heat transport
GN-thermoelasticity
plane wave
wavenumber
phase velocity
attenuation coefficient
constitutive restriction
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