Heat conduction problem for a composite cylinder with imperfect contact conditions between its layers

Authors

  • Gennady Mishuris Aberystwyth University, Ceredigion, United Kingdom
  • Yurii Protserov Odesa I. I. Mechnikov National University, Odesa, Ukraine
  • Natalya Vaysfeld King's College London, London, United Kingdom
  • Zinaida Zhuravlova Odesa I. I. Mechnikov National University, Odesa, Ukraine https://orcid.org/0000-0002-3271-8864

DOI:

https://doi.org/10.17721/1812-5409.2026/1.19

Keywords:

composite cylinder, heat conduction, imperfect contact conditions

Abstract

The paper considers the thermal conductivity problem for a multilayer cylinder, taking into account the influence of interface contrasts, which significantly change the mechanisms of heat transfer and complicate the determination of effective thermal conductivity. The aim of the study is to obtain non-ideal contact conditions between layers for different orders of thermal conductivity coefficients in the presence of an interlayer. Based on an asymptotic approach, three types of coupling conditions are derived that correspond to the characteristic modes of interaction between the layers. The proposed method provides the possibility of  correctly describing key thermal and mechanical effects using simplified relationships suitable for further engineering applications.

Pages of the article in the issue: 143 - 146

Language of the article: Ukrainian

References

Bigoni, D., Serkov, S. K., Valentini, M., & Movchan, A. B. (1998). Asymptotic models of dilute and densely packed composites with imperfectly bonded inclusions. International Journal of Solids and Structures, 35, 3239–3258.

Dumont, S., Lebon, F., Rizzoni, R., & Serpilli, M. (2022). Derivation of Imperfect Interface Laws for Multi-Physic Composites by a Multiscale Approach: Theoretical and Numerical Studies. In: The 8th European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS Congress, ECCOMAS, Oslo, Norway.

Kovalenko, A. D. (1965). Introduction in thermoelasticity. Naukova dumka [in Russian].

Mishuris, G. S., Movchan, N. V., & Movchan, A. B. (2006). Steady-state motion of a mode-III crack on imperfect interfaces. The Quarterly Journal of Mechanics and Applied Mathematics, 59(4), 487–516. https://doi.org/10.1093/qjmam/hbl013

Nowacki, W. (1975). Dynamic Problems of Thermoelasticity. Springer Dordrecht.

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Published

2026-06-05

Issue

Vol. 82 No. 1 (2026)

Section

Differential equations, mathematical physics and mechanics

License

Copyright (c) 2026 Gennady Mishuris, Yurii Protserov, Natalya Vaysfeld, Zinaida Zhuravlova

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How to Cite

Mishuris, G., Protserov, Y., Vaysfeld, N., & Zhuravlova, Z. (2026). Heat conduction problem for a composite cylinder with imperfect contact conditions between its layers. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, 82(1), 143-146. https://doi.org/10.17721/1812-5409.2026/1.19