A further study of the theory of elastic circular plates with non-Kirchhoff-Love assumptions
type: Item
instance of: scholarly article
title: A further study of the theory of elastic circular plates with non-Kirchhoff-Love assumptions
zbMATH Open document ID: 0839.73027
DOI: 10.1007/BF02451450
author: Xueping Ru
author: Wei-zang Chien
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1996-06-26T00:00:00Z
review text: Authors try to derive a refined theory for the state of stress and deformation of a linear-elastic and clamped circular plate under axisymmetric loading. Instead of using Kirchhoff-Love's assumptions, they postulate a linear transversal strain and a cubic transversal shear strain (with respect to the transversal coordinate). Starting from the basic equations of three-dimensional linear elasticity and introducing 8 resultant forces and moments respectively, they end up with 6 coupled ordinary differential equations whose solutions are given in closed form for an uniformly distributed load. The numerically evaluated deflection is shown to be larger than the corresponding one of the classical theory. Referee, however, is convinced that only the technique of asymptotic expansions with respect to the thickness-radius-ratio is able to give a reliable answer.
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 761201
zbMATH Keywords: clamped plate
zbMATH Keywords: axisymmetric loading
zbMATH Keywords: linear transversal strain
zbMATH Keywords: cubic transversal shear strain
reviewed by: Hans Bufler
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 761201