Email this article Analysis of the generalized heat equation applied to the solution of the dynamic problem of thermoelasticity
- Authors: Zimin B.A.1, Sudenkov Y.V.2,3
-
Affiliations:
- Baltic State Technical University "VOENMEH" named after D.F. Ustinov
- Saint-Petersburg State University
- Institute of Problems in Mechanical Engineering of Russian Academy of Siences
- Issue: Vol 485, No 5 (2019)
- Pages: 574-578
- Section: Mechanics
- URL: https://journals.eco-vector.com/0869-5652/article/view/14299
- DOI: https://doi.org/10.31857/S0869-56524855574-578
- ID: 14299
Cite item
Full Text
Abstract
Based on the approximate solution of the dispersion equation, the paper presents an analysis of the system of dynamic thermoelasticity equations taking into account the generalized heat equation. It is noted that during the wave process of heat transfer, a sufficiently intensive process of energy exchange between thermal and elastic fields is realized, while depending on the relations of the characteristic relaxation times, the direction of energy exchange can change.
About the authors
B. A. Zimin
Baltic State Technical University "VOENMEH" named after D.F. Ustinov
Email: sudenkov@land.ru
Russian Federation, 1, 1-st Krasnoarmeiskaya street, Saint-Petersburg, 190005
Yu. V. Sudenkov
Saint-Petersburg State University; Institute of Problems in Mechanical Engineering of Russian Academy of Siences
Author for correspondence.
Email: sudenkov@land.ru
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034; V.O., Bol'shoy prospect, 61, St. Petersburg, 199178
References
- Соболев С.Л. // УФН. 1997. Т. 167. № 10. C. 1096-1106.
- Cattaneo C. // C.R. Acad. Sci. Paris. 1958. V. 247. P. 431-433.
- Vernotte P. // C.R. Acad. Sci. Paris. 1958. V. 246. P. 3154-3155.
- Tzou D. Y. Macro- to Micro-Scale Heat Transfer: The Lagging Behavior. 2nd ed. West Sussex: Wiley, 2015. P. 1298.
- Kaganov M. I., Lifshitz M.V. // Soviet Phys. JETP. 1957. V. 4. P. 173-178.
- Ordóñez-Miranda J., Alvarado-Gil J.J. // Int. J. Therm. Sci. 2009. V. 48. № 11. P. 2053-2062.
- Galović S., Kostoski D. // J. Appl. Phys. 2003. V. 93. № 5. P. 3063-3070.
- Saha A., Basu S., Kumar R. // J. Fluid Mech. 2012. V. 692. P. 207-219.
- Даниловская В. И. // ПММ. 1952. T. XVI. № 3. C. 342-344.
- Коваленко А. Д. Основы термоупругости. Киев: Наук. думка, 1970. С. 307.
- Zimin B. A., Sudenkov Y. V., Sventitskaya V. E. Dispersion Analysis of Two-Phase Generalized Model of Dynamic Thermoelastisity. In: IEEE Proceedings оf Mechanics Seventh Polyakhov’s Reading. Saint-Petersburg, 2-6 February, 2015. S.-Peterburg, 2015. P. 255-257.
- Tzou D. Y. // J. Heat Transfer. 1994. V. 116. № 3. P. 526-53.
Supplementary files
