Nonlinear bending of Reissner-Mindlin plates with free edges under transverse and in-plane loads and resting on elastic foundations
type: Item
instance of: scholarly article
title: Nonlinear bending of Reissner-Mindlin plates with free edges under transverse and in-plane loads and resting on elastic foundations
zbMATH Open document ID: 0971.74051
DOI: 10.1016/S0020-7403(98)00060-5
published in: International Journal of Mechanical Sciences
publication date: 2000-03-07T00:00:00Z
review text: A nonlinear bending analysis is presented for a rectangular Reissner-Mindlin plate resting on a two-parameter (Pasternak-type) elastic foundation with free edges subject to a combined transverse partially distributed load and compressive edge loading. The formulations are based on the Reissner-Mindlin plate theory considering the first-order shear deformation effect, and including the plate-foundation interaction. The analysis uses a mixed Galerkin-perturbation technique to determine the load-deflection curves and load-bending moment curves. Finally, the author studies a number of effects, among them the effects of foundation stiffness, transverse shear deformation, loaded area, the plate aspect ratio and initial compressive load.
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 1389184
zbMATH Keywords: two-parameter elastic foundation
zbMATH Keywords: rectangular Reissner-Mindlin plate
zbMATH Keywords: compressive edge loading
zbMATH Keywords: first-order shear deformation effect
zbMATH Keywords: plate-foundation interaction
zbMATH Keywords: mixed Galerkin-perturbation technique
zbMATH Keywords: load-deflection curves
zbMATH Keywords: load-bending moment curves
author: Hui-Shen Shen
reviewed by: J. Genin
MaRDI profile type: Publication
full work available at URL: s0020-7403(98)00060-5
OpenAlex ID: W1980807667
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description: scientific article; zbMATH DE number 1389184