Nonlinear bending of circular sandwich plates
type: Item
instance of: scholarly article
title: Nonlinear bending of circular sandwich plates
zbMATH Open document ID: 0612.73065
DOI: 10.1007/BF01876778
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1981-01-01T00:00:00Z
review text: Fundamental equations and boundary conditions of nonlinear axisymmetrical bending theory for circular sandwich plates with a soft core are derived by means of variational methods. Especially in the case of very thin faces, the preceding fundamental equations and boundary conditions are considerably simplified. For example, a circular sandwich plate with edges clamped but free to slip under the action of uniform lateral loads is considered. A more accurate solution of this problem has been obtained by means of the modified iteration method.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 3991012
zbMATH Keywords: nonlinear axisymmetrical bending
zbMATH Keywords: circular sandwich plates
zbMATH Keywords: soft core
zbMATH Keywords: very thin faces
zbMATH Keywords: fundamental equations
zbMATH Keywords: boundary conditions
zbMATH Keywords: edges clamped
zbMATH Keywords: free to slip
zbMATH Keywords: uniform lateral loads
zbMATH Keywords: modified iteration method
author: Renhuai Liu
MaRDI profile type: Publication
cites work: THERMAL DEFLECTION OF A CIRCULAR SANDWICH PLATE
cites work: Circular sandwich plate under radial compression and thermal gradient
cites work: Nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment
cites work: Note on the Membrane Theory of Shell of Revolution
full work available at URL: https://doi.org/10.1007/bf01876778
OpenAlex ID: W2003315468
description: scientific article; zbMATH DE number 3991012