The derivation of a thick and thin plate formulation without ad hoc assumptions
type: Item
instance of: scholarly article
title: The derivation of a thick and thin plate formulation without ad hoc assumptions
zbMATH Open document ID: 0781.73040
DOI: 10.1007/BF00044515
author: Reinhard Piltner
published in: Journal of Elasticity
publication date: 1993-04-01T00:00:00Z
review text: For the plate formulation, appropriate three-dimensional elasticity solution representations for isotropic materials are constructed. No a priori assumptions for stress or displacement distributions over the thickness of the plate are made. The strategy used in the derivation is to separate functions of the thickness variable \(z\) from functions of the coordinates \(x\) and \(y\) lying in the midplane of the plate. Real and complex three-dimensional elasticity solution representations are used to obtain three types of functions of the coordinates \(x\), \(y\) and the corresponding differential equations.
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 147033
zbMATH Keywords: homogeneous and nonhomogeneous boundary conditions
zbMATH Keywords: bending
zbMATH Keywords: stretching
zbMATH Keywords: three-dimensional elasticity solution representations
zbMATH Keywords: isotropic materials
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00044515
OpenAlex ID: W2049068252
description: scientific article; zbMATH DE number 147033