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On the Question of Calculation of Temperature Fields in Piecewise-Homogeneous Orthotropic Media

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Abstract

Based on the theory of R-functions, we propose structures of a solution of the boundary-value problem of heat conduction in piecewise-homogeneous orthotropic media, satisfying the conditions of convective heat exchange on the boundary of an orthotropic body and the conditions of ideal thermal contact on the boundary between media. We present the results of a computational experiment confirming the correctness and computational fitness of the proposed structural models.

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REFERENCES

  1. V. L. Rvachev, "On analytic description of some geometric objects," Dokl. Akad. Nauk SSSR, 153, No. 4, 765-768 (1963).

    Google Scholar 

  2. V. L. Rvachev, Theory of R-Functions and Some of Its Applications [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  3. V. L. Rvachev and T. I. Sheiko, "The method of R-functions in problems of the calculation of fields for bodies whose physical characteristics have discontinuities of the first kind," Prikl. Mat. Mekh., 48, No. 5, 873-877 (1984).

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  4. A. Shevchenko, I. Tsukanov, and V. Rokityanska, "Simulation of temperature fields in forming products from composite materials," in: Proceedings of EUROSIM'95 Simulation Congress, Vienna (1995), pp. 777-782.

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Authors and Affiliations

  1. Institute of Problems in the Engineering Industry, Ukrainian Academy of Sciences, Kharkov

    I. G. Tsukanov

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  1. I. G. Tsukanov
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Tsukanov, I.G. On the Question of Calculation of Temperature Fields in Piecewise-Homogeneous Orthotropic Media. Journal of Mathematical Sciences 109, 1338–1343 (2002). https://doi.org/10.1023/A:1013773401164

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  • DOI: https://doi.org/10.1023/A:1013773401164

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