Deformation of a three-layer plate with a compressible filler in the temperature field

Authors

  • Eduard I. Starovoitov Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus
  • Yuliya V. Shafiyeva Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus
  • Gennady V. Moskvitin A. A. Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, 4 Malyj Haritonjevskij Lane, Moscow 101000, Russia

Keywords:

elastic three-layer plate, compressible filler, axisymmetric loading, temperature field
Supporting Agencies
This work was carried out within the framework of the state programme of scientific research «Convergence-2025».

Abstract

The elastic axisymmetric bending of a circular three-layer plate in a nonstationary temperature field is herein investigated. An approximate solution to the problem of thermal conductivity is used, obtained by averaging the thermophysical characteristics of the materials of the layers over the thickness of the plate. It is accepted that the deformation of the plate obeys the polyline hypothesis. Kirchhoff ՚s hypotheses are valid for thin load-bearing layers that take on the main load. A relatively thick lightweight filler is compressible in thickness, and the Timoshenko hypothesis is fulfilled in it. To derive a system of equilibrium equations, the principle of possible Lagrange displacements is applied. A general analytical solution of the corresponding boundary value problem is obtained. The change of displacements in the plate at different temperatures is numerically investigated.

Author Biographies

  • Eduard I. Starovoitov, Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus

    doctor of science (physics and mathematics), full professor; professor at the department of structural mechanics, geotechnics and building structures, faculty of industrial and civil engineering

  • Yuliya V. Shafiyeva, Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus

    PhD (physics and mathematics), docent; associate professor at the department of construction technologies, faculty of industrial and civil engineering

  • Gennady V. Moskvitin, A. A. Blagonravov Institute of Mechanical Engineering, Russian Academy of Sciences, 4 Malyj Haritonjevskij Lane, Moscow 101000, Russia

    doctor of science (engineering), full professor; head of the laboratory of reliability and durability under thermomechanical cyclic effect

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Published

2025-05-14

Issue

No. 1 (2025): Journal of the Belarusian State University. Mathematics and Informatics

Section

Theoretical and Applied Mechanics

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How to Cite

[1]
Starovoitov, E.I. et al. 2025. Deformation of a three-layer plate with a compressible filler in the temperature field. Journal of the Belarusian State University. Mathematics and Informatics. 1 (May 2025), 58–67.