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On the problem of stability of a composite plate under heating

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We determine the critical temperatures of a composite elastic plate in a constant temperature field two opposite sides of which are under conditions of sliding contact and the other two sides are free. For the special case of a homogeneous plate, we investigate the dependence of critical forces applied to the sliding sides on the width of the free sides and Poisson’s ratio and deduce approximate formulas for the computation of the critical temperature for wide and narrow plates. The critical temperature of a composite plate composed of copper and aluminum plates is calculated.

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, Erevan, Armenia

    М. V. Belubekyan & Yu. G. Sanoyan

Authors
  1. М. V. Belubekyan
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  2. Yu. G. Sanoyan
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 2, pp. 170–176, April–June, 2012.

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Belubekyan, М.V., Sanoyan, Y.G. On the problem of stability of a composite plate under heating. J Math Sci 192, 682–690 (2013). https://doi.org/10.1007/s10958-013-1425-3

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  • DOI: https://doi.org/10.1007/s10958-013-1425-3

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