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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2017, Volume 17, Issue 2, Pages 196–208
DOI: https://doi.org/10.18500/1816-9791-2017-17-2-196-208
(Mi isu716)
 

This article is cited in 4 scientific papers (total in 4 papers)

Scientific Part
Mechanics

Variable bending of a three-layer rod with a compressed filler in the neutron flux

E. I. Starovoitov, D. V. Leonenko

Belarusian State University of Transport, 34, Kirova str., Gomel, Belarus, 246653
Full-text PDF (314 kB) Citations (4)
References:
Abstract: The present paper considers variable bending of a three-layer elastoplastic bar with a compressible filler in the neutron flux. To describe kinematic properties of an asymmetric through thickness pack we have accepted the hypotheses of a broken line as follows: Bernoulli’s hypothesis is true in the thin bearing layers; Timoshenko’s hypothesis is true in the compressible through thickness filler with a linear approximation of displacements through the layer thickness. The filler's work is taken into account in the tangential direction. The physical stress-strain relations correspond to the theory of small elastoplastic deformations. By the variational method a system of differential equilibrium equations has been derived. The kinematic conditions of simply supported faces of the bar on the immovable in space rigid bases are presumed on the boundary. The solution of the boundary problem is reduced to the search for four functions, namely: deflections and longitudinal displacements of the medial surfaces of the bearing layers. An analytical solution has been derived by the method of elastic solutions by using the Moskvitin’s theorem about variable loadings. Its numerical analysis has been performed for the case of the uniform distribution of the continuous and local loads.
Key words: three-layer rod, plastic, variable bending, compressible filler, neutron flux.
Funding agency Grant number
Russian Science Foundation 14-49-00091-П
This work was supported by the Russian Science Foundation (project no. 14-49-00091-П).
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: Russian
Citation: E. I. Starovoitov, D. V. Leonenko, “Variable bending of a three-layer rod with a compressed filler in the neutron flux”, Izv. Saratov Univ. Math. Mech. Inform., 17:2 (2017), 196–208
Citation in format AMSBIB
\Bibitem{StaLeo17}
\by E.~I.~Starovoitov, D.~V.~Leonenko
\paper Variable bending of a three-layer rod with a compressed filler in the neutron flux
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2017
\vol 17
\issue 2
\pages 196--208
\mathnet{http://mi.mathnet.ru/isu716}
\crossref{https://doi.org/10.18500/1816-9791-2017-17-2-196-208}
\elib{https://elibrary.ru/item.asp?id=29924699}
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  • https://www.mathnet.ru/eng/isu/v17/i2/p196
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Full-text PDF :81
    References:59
     
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