Geodesic
On wavenumbers of plane harmonic type~III thermoelastic waves
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 46-53

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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. 
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     title = {On wavenumbers of plane harmonic {type~III} thermoelastic waves},
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V. A. Kovalev; Yu. N. Radaev. On wavenumbers of plane harmonic type~III thermoelastic waves. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 46-53. http://geodesic.mathdoc.fr/item/ISU_2010_10_3_a5/