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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2021, Issue 2(47), Pages 57–63 (Mi pfmt780)  

This article is cited in 1 scientific paper (total in 1 paper)

PHYSICS

Deformation of a three-layer circular plate under creep conditions

E. I. Starovoitova, Yu. M. Pleskatshevskyb, A. V. Yarovayaa

a Belarusian State University of Transport, Gomel
b Belarusian National Technical University, Minsk
Full-text PDF (460 kB) Citations (1)
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Abstract: The analytical solution of the boundary value problem of axisymmetric bending of a circular three-layer plate under creep conditions is obtained using the experimental-theoretical Ilyushin method. The physical equations of state of the hereditary theory of linear viscoelasticity are used. The similarity of the creep cores of the layer materials was assumed. The polyline hypothesis is used to describe the kinematics of a plate package that is not symmetric in thickness. In the bearing layers, the Kirchhoff hypotheses are valid. In a relatively thick placeholder, the Timoshenko hypothesis is accepted. The well-known solution of a similar problem in the theory of elasticity for such a three-layer plate is taken as the initial one. Numerical approbation of the obtained solution is carried out.
Keywords: three-layer plate, bending, similarity of creep nuclei, experimental-theoretical method.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Т20Р-047
Received: 25.01.2021
Document Type: Article
UDC: 539.3
Language: Russian
Citation: E. I. Starovoitov, Yu. M. Pleskatshevsky, A. V. Yarovaya, “Deformation of a three-layer circular plate under creep conditions”, PFMT, 2021, no. 2(47), 57–63
Citation in format AMSBIB
\Bibitem{StaPleYar21}
\by E.~I.~Starovoitov, Yu.~M.~Pleskatshevsky, A.~V.~Yarovaya
\paper Deformation of a three-layer circular plate under creep conditions
\jour PFMT
\yr 2021
\issue 2(47)
\pages 57--63
\mathnet{http://mi.mathnet.ru/pfmt780}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Проблемы физики, математики и техники
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