Thermo force loading of an elastic-plastic a three-layer plate

Authors

  • Eduard I. Starovoitov Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus
  • Mikhail A. Zhuravkov Belarusian State University, 4 Niezaliezhnasci Avenue, Minsk 220030, Belarus
  • Alina V. Nesterovich Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus

Keywords:

circular three-layer plate, non-axisymmetric load, movement, plasticity
Supporting Agencies
This work was carried out within the framework of the assignment of the state programme of scientific research «Convergence-2025».

Abstract

The formulation of the boundary value problem of deformation of a circular three-layer plate in its plane under the action of an axisymmetric load and heat flow is herein given. The deformation of materials of thin bearing layers obeys the hypotheses of the theory of small elastic-plastic deformations. The relatively thick filler is assumed to be non-linearly elastic. A system of non-linear differential equilibrium equations is obtained. To derive it, the Lagrange’s variational principle was used. The corresponding iterative solution is obtained by direct integration. Numerical approbation of the analytical solution is carried out.

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

  • Mikhail A. Zhuravkov, Belarusian State University, 4 Niezaliezhnasci Avenue, Minsk 220030, Belarus

    doctor of science (physics and mathematics), full professor; head of the department of theoretical and applied mechanics, faculty of mechanics and mathematics

  • Alina V. Nesterovich, Belarusian State University of Transport, 34 Kirava Street, Gomiel 246653, Belarus

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

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Published

2023-12-13

Issue

No. 3 (2023): 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. 2023. Thermo force loading of an elastic-plastic a three-layer plate. Journal of the Belarusian State University. Mathematics and Informatics. 3 (Dec. 2023), 42–52.