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The thermally stressed state of a round plate heated by an annular heat source

Journal of Soviet Mathematics volume 64, pages 944–946 (1993)Cite this article

Abstract

Using Hankel and Laplace transforms we solve an axisymmetric dynamic problem of thermoelasticity for a round plate under the action of an annular heat source. We carry out a numerical study of the temperature field and stresses.

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Literature cited

  1. A. S. Galitsyn and A. N. Zhukovskii,Integral Transforms and Special Functions in Heat-conduction Problems [in Russian], Naukova Dumka, Kiev (1976).

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  2. V. A. Ditkin and A. P. Prudnikov,Handbook of Operational Calculus [in Russian], Vysshaya Shkola, Moscow (1965).

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  3. Ya. S. Podstrigach and Yu. M. Kolyano,Generalized Thermomechanics [in Russian], Naukova Dumka, Kiev (1976).

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Authors
  1. F. V. Semerak
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  2. R. R. Glek
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Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 31, 1990, pp. 58–60.

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Semerak, F.V., Glek, R.R. The thermally stressed state of a round plate heated by an annular heat source. J Math Sci 64, 944–946 (1993). https://doi.org/10.1007/BF01140322

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  • DOI: https://doi.org/10.1007/BF01140322

Keywords

  • Stressed State
  • Heat Source
  • Temperature Field
  • Dynamic Problem
  • Round Plate