Approximation theory of three-dimensional elastic plates and its boundary conditions without using Kirchhoff-Love assumptions
type: Item
instance of: scholarly article
title: Approximation theory of three-dimensional elastic plates and its boundary conditions without using Kirchhoff-Love assumptions
zbMATH Open document ID: 0826.73030
DOI: 10.1007/BF02450521
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1995-06-06T00:00:00Z
review text: A plate theory is derived for a linear-elastic isotropic layer without using Kirchhoff-Love assumptions. The theory is based on the principle of stationary potential energy for a three-dimensional body, with relaxed geometric boundary conditions. By means of special trial functions and integration with respect to the thickness direction, the problem is reduced to a two-dimensional one, whose first order approximation is worked out particularly. This reduced problem is characterized by six unknown functions to be determined. The discussion of the boundary conditions is not satisfactory, and no reference is made to related papers in the literature.
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 761191
zbMATH Keywords: linear-elastic isotropic layer
zbMATH Keywords: principle of stationary potential energy
zbMATH Keywords: trial functions
zbMATH Keywords: integration
zbMATH Keywords: boundary conditions
author: Wei-zang Chien
reviewed by: Hans Bufler
MaRDI profile type: Publication
cites work: A further study of the theory of elastic circular plates with non-Kirchhoff-Love assumptions
description: scientific article; zbMATH DE number 761191