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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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