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The coupled thermoelasticity problem for thin plates

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Abstract

On the basis of the operator solution of the three-dimensional coupled thermoelasticity problem for a plate we state the main relations of a sharpened version of the theory of thermally stressed thin plates. These relations make it possible to determine all the components of the stress tensor and the corresponding temperature fields.

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Literature cited

  1. N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen, (1953).

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  2. Ya. S. Podstrigach and Yu. M. Kolyano,Nonstationary Temperature Fields and Stresses in Thin Plates [in Russian], Naukova Dumka, Kiev (1972).

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  3. Ya. S. Podstrigach, Yu. M. Kolyano, and M. M. Semerak,Temperature Fields and Stresses in the Elements of Electrovacuum Devices [in Russian], Naukova Dumka, Kiev (1981).

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Authors
  1. Ya. S. Podstrigach
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  2. Yu. A. Chernukha
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Additional information

Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 1–6.

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Podstrigach, Y.S., Chernukha, Y.A. The coupled thermoelasticity problem for thin plates. J Math Sci 62, 2489–2493 (1992). https://doi.org/10.1007/BF01099137

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  • DOI: https://doi.org/10.1007/BF01099137

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