Bending of a Thin Plate in a High Pressure Field
M. A. Il’gamov1,2,3
1Mechanical Engineering Research Institute, Russian Academy of Sciences, Moscow, Russia
2Institute of Mechanics and Engineering - Subdivision of the Federal State Budgetary Institution of Science В«Kazan Scientific Center of the Russian Academy of Sciences», Kazan, Russia
3Mavlyutov Institute of Mechanics, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa, Russia
Keywords: elastic plate, pressure, static bending, Kirchhoff's hypotheses
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.
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