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The Role of the Coupling Coefficient in the Dynamic Problem of Thermoelasticity with Localized Inclusions

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Abstract

The dynamic problem of thermoelasticity with a localized inclusion in a medium is considered. It is shown that in the resonant regime an important role is played by the coupling coefficient of the temperature and strain fields. The coupling of the problem and the presence of a discrete spectrum lead to the appearance of an additional term in the expression for temperature, which is localized and does not describe the diffusion process.

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Funding

This study is supported in part by the Ministry of Science and Higher Education of the Russian Federation within the framework of the program of the World-Class Research Center “Advanced Digital Technologies” (agreement no. 075-15-2020-311 of April 20, 2022).

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    N. F. Morozov,  D. A. Indeitsev & D. S. Vavilov

  2. St. Petersburg State University, St. Petersburg, Russia

    N. F. Morozov

  3. Ioffe Institute, Russian Academy of Sciences, St. Petersburg, Russia

    K. L. Muratikov

  4. Mozhaiskii Military–Space Academy, St. Petersburg, Russia

    D. S. Vavilov

  5. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

    A. A. Kudryavtsev

Authors
  1. N. F. Morozov
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  2. D. A. Indeitsev
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  3. K. L. Muratikov
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  4. D. S. Vavilov
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  5. A. A. Kudryavtsev
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Corresponding authors

Correspondence to N. F. Morozov, D. S. Vavilov or A. A. Kudryavtsev.

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Morozov, N.F., Indeitsev, D.A., Muratikov, K.L. et al. The Role of the Coupling Coefficient in the Dynamic Problem of Thermoelasticity with Localized Inclusions. Dokl. Phys. 68, 306–310 (2023). https://doi.org/10.1134/S1028335823090045

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  • DOI: https://doi.org/10.1134/S1028335823090045

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