On the Reissner theory of bending of elastic plates
type: Item
instance of: scholarly article
title: On the Reissner theory of bending of elastic plates
zbMATH Open document ID: 0606.73054
DOI: 10.1007/BF01876747
author: Tiande Miao
author: Chang Jun Chen
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1980-01-01T00:00:00Z
review text: The Reissner equations of elastic plates are rederived on the basis of the incomplete generalized variational principle of complementary energy. The stress function \(\psi\) is naturally obtained from the variational calculation with Lagrange multipliers. The structure of solutions of the Reissner equations is thus defined. On the basis of these discussions, a simplified theory has been put forward, in which the equations of equilibrium involving the shearing influence can be reduced to a fourth order differential equation similar to those of the classical theory of plates.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 3980633
zbMATH Keywords: bending deformations
zbMATH Keywords: Reissner equations
zbMATH Keywords: elastic plates
zbMATH Keywords: incomplete generalized variational principle of complementary energy
zbMATH Keywords: stress function
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: equations of equilibrium
zbMATH Keywords: shearing influence
zbMATH Keywords: fourth order differential equation
MaRDI profile type: Publication
cites work: On the Theory of Bending of Elastic Plates
cites work: Q5845521
cites work: On bending of elastic plates
cites work: Effect of Shear Deformations on the Bending of Rectangular Plates
cites work: A simplified Reissner theory for plate bending
cites work: Q5722857
description: scientific article; zbMATH DE number 3980633