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.
REFERENCES
D. A. Indeitsev, N. G. Kuznetsov, O. V. Motygin, and Yu. A. Mochalova, Localization of Linear Waves (SPb. Univ., St. Petersburg, 2007) [in Russian].
V. I. Danilovskaya, Prikl. Mat. Mekh. 14, 316 (1950).
A. D. Kovalenko, Thermoelasticity (Vishcha Shkola, Kiev, 1975) [in Russian].
W. Nowacki, Dynamic Problems of Thermoelasticity (Springer, Berlin, 1975).
E. V. Nenakhov and E. M. Kartashov, Teplov. Protses. Tekh. 11, 230 (2019).
E. M. Kartashov, Russ. Technol. J. 8, 85 (2020).
N. F. Morozov, D. A. Indeitsev, K. L. Muratikov, B. N. Semenov, D. S. Vavilov, and A. A. Kudryavtsev, Dokl. Phys. 66, 269 (2021).
A. L. Glazov and K. L. Muratikov, Tech. Phys. Lett. 46, 477 (2020).
E. M. Kartashov and V. Z. Parton, Itogi Nauki Tekh., Ser.: Mekh. Deform. Tverd. Tela 22, 55 (1991).
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).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
The authors of this work declare that they have no conflicts of interest.
Additional information
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028335823090045