Geodesic
Coupled dynamic problems of hyperbolic thermoelasticity
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 94-127 
V. A. Kovalev; Yu. N. Radayev; D. A. Semenov. Coupled dynamic problems of hyperbolic thermoelasticity. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 9 (2009) no. 4, pp. 94-127. http://geodesic.mathdoc.fr/item/ISU_2009_9_4_a6/
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In the present paper in the framework of the linear non-dissipative coupled thermoelasticity (GNII, hyperbolic thermoelasticity), treating the heat transport as propagation with finite speed of undamped waves of second sound, harmonic coupled thermoelastic waves propagating in an infinite free from tractions thermoisolated cylinder are studied.Dispersion relation is derived for this type of thermoelastic waves for an arbitrary azimuthal order. Numerical results for wave numbers depending on frequency are obtained. Special attention is paid to the waves of the second azimuthal order. The study follows investigation of weak discontinuities propagation in GNII media by the Thomas–Hadamard technique and analysis of plane harmonic thermoelastic coupled waves.

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