Stability and vibration of pre-stressed compressible elastic plates
type: Item
instance of: scholarly article
title: Stability and vibration of pre-stressed compressible elastic plates
zbMATH Open document ID: 0801.73046
DOI: 10.1016/0020-7225(94)90133-3
author: D. G. Roxburgh
author: R. W. Ogden
published in: International Journal of Engineering Science
publication date: 1994-05-26T00:00:00Z
review text: The authors present plane incremental vibrations of a rectangular plate of a compressible isotropic elastic material subject to an underlying homogeneous pure strain. Specifically, for a general form of strain- energy function, equations governing the frequency of symmetric and antisymmetric modes of vibration are obtained. Stability criteria are analyzed for a general form of strain-energy function. The dynamic and static results are illustrated by numerical calculations for a number of simple strain-energy functions.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 561795
zbMATH Keywords: isotropic material
zbMATH Keywords: stability criteria
zbMATH Keywords: homogeneous pure strain
zbMATH Keywords: strain- energy function
zbMATH Keywords: frequency
reviewed by: J. Genin
MaRDI profile type: Publication
full work available at URL: 0020-7225(94)90133-3
OpenAlex ID: W2027861929
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description: scientific article; zbMATH DE number 561795