A solution of linearized systems of equations of the dynamic elasticity theory and of the heat conductivity equation is derived. It is shown that in this case, the velocity of longitudinal sound waves csl is a function of the temperature T and depends strongly on T . The attenuation coefficient γ (k) of these waves is calculated and the dependence obtained is graphically illustrated.
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L. D. Landau and E. M. Lifshits, Elasticity Theory, Vol. 7 [in Russian], Nauka, Moscow (1987).
A. D. Kovalenko, Thermoelasticity [in Russian], Vysshaya Shkola, Kiev (1975).
S. O. Gladkov, Fiz. Met. Metalloved., 117, No. 1, 3–10 (2016).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 129–133, August, 2016.
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Gladkov, S.O. To the Theory of Thermoelastic Waves. Russ Phys J 59, 1268–1273 (2016). https://doi.org/10.1007/s11182-016-0901-x
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DOI: https://doi.org/10.1007/s11182-016-0901-x