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Local effects in a thermoelastic plate stiffened by a rod/ring

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Abstract

On the basis of the revised theory of plates, which makes it possible to determine the components of the stress tensor, we study the thermostressed state of an unbounded plate stiffened by a rod-ring. In the stiffening and in the contact zone of the plate the stresses differ significantly, both quantitatively and qualitatively, from those predicted by the classical theories of elasticity

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Literature Cited

  1. T. L. Martynovich and V. E. Yurinets,Contact Interaction of Plates with Elastic Elements [in Russian], Vishcha Shkola, L'vov (1984).

    Google Scholar 

  2. Ya. S. Podstrigach, V. I. Kosarchin, A. M. Margolin, and Yu. A. Chernukha, “Analysis of the thermal stresses in glass elements of electrovacuum devices in a neighborhood of metal inclusions,”Mat. Met. Fiz.-mekh. Polya, No. 28, 1–6 (1988).

    Google Scholar 

  3. G. N. Savin and N. P. Fleishman,Plates and Shells with Stiff Ribs [in Russian], Naukova Dumka, Kiev (1964).

    Google Scholar 

  4. G. N. Savin and V. I. Tul'chii,Plates Stiffened by Compound Rings and Elastic Boundaries [in Russian], Naukova Dumka, Kiev (1971).

    Google Scholar 

  5. M. Abramowitz and I. Stegun, eds.,Handbook of Special Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York (1965).

    Google Scholar 

  6. Yu. A. Chernukha, “On the problem of thermoelasticity for thin plates,”Mat. Met. Fiz.-mekh. Polya, No. 21, 37–41 (1985).

    MATH  Google Scholar 

  7. Yu. A. Chernukha and V. I. Kosarchin, “Local effects in a thermostressed plate with a round inclusion,”Mat. Met. Fiz.-mekh. Polya, No. 23, 60–64 (1986).

    Google Scholar 

  8. M. P. Sheremet'ev,Plates with a Stiffened Boundary [in Russian], L'vov University Press (1960).

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Authors
  1. Yu. A. Chernukha
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  2. V. I. Kosarchin
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Additional information

Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 26–30.

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Chernukha, Y.A., Kosarchin, V.I. Local effects in a thermoelastic plate stiffened by a rod/ring. J Math Sci 86, 2543–2546 (1997). https://doi.org/10.1007/BF02356093

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  • DOI: https://doi.org/10.1007/BF02356093

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