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A model of the thermoelastic medium absorbing a part of the acoustic spectrum

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Abstract

An analytical model extending classical thermal elasticity is presented. It allows to introduce a correction to the attenuation of the mechanical waves at the higher frequency range. A material data set taken from experimental studies can be used to identify the attenuation rate as a function of frequency. An example is provided. The particular solution of the developed equations system in the form of the traveling monochromatic wave is obtained.

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Notes

  1. \({\varvec{E}}{\varvec{E}}={\varvec{e}}_k {\varvec{e}}_k {\varvec{e}}_n {\varvec{e}}_n\), \({\varvec{I}}=\frac{1}{2}\left( {\varvec{e}}_k {\varvec{e}}_n {\varvec{e}}_n {\varvec{e}}_k+{\varvec{e}}_k {\varvec{e}}_n {\varvec{e}}_k {\varvec{e}}_n\right) \).

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Acknowledgements

The author is grateful to E.N. Vilchevskaya, E.A. Ivanova, D.A. Indeitsev, A.M. Krivtsov, and an anonymous referee for valuable discussions.

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, 29, Politechnicheskaya str., St. Petersburg, Russia, 195251

    Mikhail B. Babenkov

  2. Institute for Problems in Mechanical Engineering RAS, 61, Bolshoy pr. V. O., St. Petersburg, Russia, 199178

    Mikhail B. Babenkov

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  1. Mikhail B. Babenkov
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Correspondence to Mikhail B. Babenkov.

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Communicated by Andreas Öchsner.

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Babenkov, M.B. A model of the thermoelastic medium absorbing a part of the acoustic spectrum. Continuum Mech. Thermodyn. 33, 789–802 (2021). https://doi.org/10.1007/s00161-020-00957-2

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