This article is cited in 1 paper

Bending of a thin plate in a high pressure field

M. A. Il'gamov<sup>abc

a</sup> Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia
^b Institute of Mechanics and Engineering – Subdivision of the Federal State Budgetary Institution of Science "Kazan Scientific Center of the Russian Academy of Sciences", Kazan, Russia
^c Mavlyutov Institute of Mechanics, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa, Russia

Abstract: A linear theory of static cylindrical bending of a thin plate is constructed without using Kirchhoff's hypotheses. The transverse shear, thickness compression and the resulting longitudinal force are taken into account. Taking into account the change in the areas of both surfaces during bending, the transverse distributed force is determined. It is assumed that the average pressure on the plate is several orders of magnitude greater than the pressure drop. Bending under conditions of plane deformed and stressed states is considered.

Keywords: elastic plate, pressure, static bending, Kirchhoff's hypotheses.

UDC: 534.113

Received: 28.02.2023
Revised: 03.05.2023
Accepted: 26.06.2023

DOI: 10.15372/PMTF202315269

 English version: Journal of Applied Mechanics and Technical Physics, 2024, 64:6, 1100–1107

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