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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2022, Volume 22, Issue 3, Pages 360–375
DOI: https://doi.org/10.18500/1816-9791-2022-22-3-360-375
(Mi isu949)
 

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

Scientific Part
Mechanics

Bending of an elastic circular three-layer plate in a neutron flux by a local load

E. I. Starovoitov, D. V. Leonenko

Belarusian State University of Transport, 34 Kirova St., Gomel 246653, Belarus
Full-text PDF (584 kB) Citations (1)
References:
Abstract: The bending of an elastic circular three-layer plate asymmetric in thickness by local loads uniformly distributed in a circle in a neutron current is considered. Polyline hypotheses are used to describe the kinematics of the package. Kirchhoff's hypotheses are valid in thin load-bearing layers. In a relatively thick incompressible filler, Timoshenko's hypothesis about the straightness and incompressibility of the deformed normal is fulfilled. The work of the tangential stresses of the filler is taken into account. Deformations are small. It is assumed that, in a linear approximation, an additional change in the volume of materials in the layers can be considered directly proportional to the integral neutron flux. Attenuation of the intensity of the neutron flux when passing through the layers of the plate is assumed according to the exponential law. The effect of neutron irradiation on the elasticity parameters of materials is not taken into account. The formulation of the corresponding boundary value problem is given. The system of differential equations of equilibrium in forces is obtained by the Lagrange variational method. In the contour of the plate, the boundary conditions of the hinge support are assumed. In this case, the requirement of zero bending moment on the contour of the plate includes an integral neutron flux. The solution to the boundary value problem is reduced to finding three desired functions  — deflection, shear, and radial displacement of the median plane of the filler. An inhomogeneous system of ordinary linear differential equations is written out for these functions. The solution to the boundary value problem is obtained in the final form. Numerical parametric analysis of the obtained solutions is carried out. The dependence of the stress-strain state of a three-layer metal polymer plate on the magnitude and type of load, layer thickness, and neutron flux intensity is investigated.
Key words: three-layer circular plate, elasticity, local load, neutron flux, numerical analysis SSS.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Т22УЗБ-015
The work was supported by the Belarusian Republican Foundation for Fundamental Research (project No. T22UZB-015).
Received: 21.11.2021
Accepted: 28.02.2022
Bibliographic databases:
Document Type: Article
UDC: 539.374
Language: Russian
Citation: E. I. Starovoitov, D. V. Leonenko, “Bending of an elastic circular three-layer plate in a neutron flux by a local load”, Izv. Saratov Univ. Math. Mech. Inform., 22:3 (2022), 360–375
Citation in format AMSBIB
\Bibitem{StaLeo22}
\by E.~I.~Starovoitov, D.~V.~Leonenko
\paper Bending of an elastic circular three-layer plate in a neutron flux by a local load
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2022
\vol 22
\issue 3
\pages 360--375
\mathnet{http://mi.mathnet.ru/isu949}
\crossref{https://doi.org/10.18500/1816-9791-2022-22-3-360-375}
\edn{https://elibrary.ru/DIDXGQ}
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  • https://www.mathnet.ru/eng/isu/v22/i3/p360
  • This publication is cited in the following 1 articles:
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    Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
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