Skip to main content
SpringerLink
Log in

Thermomechanical behavior of nonmetallic electrical conductors during high-temperature treatment

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

We give a mathematical statement and initial relations for the problem of determining the temperature fields and stresses in nonmetallic electrical conductors under induction heating to high temperatures. We study the influence of the temperature dependence of the characteristics of the material and the radiant heat transfer with the surrounding medium on the thermomechanical behavior of a cylinder.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature Cited

  1. V. Ya. Boichuk, A. R. Gachkevich, I. F. Paukov, and E. A. Freiman, “Thermal stresses in nonmetal electrical conductors under induction heating”, in:Mechanics of Inhomogeneous Structures: Proceedings of the First All-union Conference [in Russian], Kiev (1986), pp. 13–17.

  2. A. R. Gachkevich and V. Ya. Boichuk, “The thermostressed state of a long cylinder under radiant heating”,Prikl. Mekh.,23, No. 4, 18–23 (1987).

    Google Scholar 

  3. R. Siegel and J. Howell,Radiant Heat Transfer [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  4. L. A. Kozdoba,Solution of Nonlinear Heat-conduction Problems [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  5. Ya. S. Podstrigach, Ya. I. Burak, A. R. Gachkevich, and L. V. Chernyavskaya,Thermoelasticity of Electrical Conductors [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  6. A. A. Samarskii,Theory of Difference Schemes [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  7. A. E. Slukhotskii, V. S. Nemkov, N. A. Pavlov, and A. V. Bamuner,Induction Heating Apparatus [in Russian], Energiya, Moscow (1974).

    Google Scholar 

  8. A. S. Fialkov,The Technology and Equipment of Electrocarbon Production [in Russian], Gosenergoizdat, Moscow-Leningrad (1958).

    Google Scholar 

  9. E. A. Freiman, V. V. Aver'yanov, I. G. Belyaeva, et al., “Precipitation of an electrogrid semifabricate in a continuously working induction electric oven”, in:Eighth All-union Scientific/Technical Conference on Electrothermia and Electrothermal Equipment [in Russian], Cheboksary (1985), p. 42.

Download references

Authors
  1. A. R. Gachkevich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. Ya. Boichuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 74–79.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gachkevich, A.R., Boichuk, V.Y. Thermomechanical behavior of nonmetallic electrical conductors during high-temperature treatment. J Math Sci 86, 2585–2589 (1997). https://doi.org/10.1007/BF02356101

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02356101

Keywords

Search

Navigation