Elastoplastic buckling of rectangular plates in biaxial compression/tension
type: Item
instance of: scholarly article
title: Elastoplastic buckling of rectangular plates in biaxial compression/tension
zbMATH Open document ID: 0953.74024
DOI: 10.1016/S0020-7403(98)00055-1
author: Zvi Zuckerman
author: David Durban
published in: International Journal of Mechanical Sciences
publication date: 2001-01-16T00:00:00Z
review text: Elastoplastic buckling of structures is much more complicated to analyse and to understand than nonlinear elastic buckling. The reason is that the critical load predictions strongly depend on which theory of plasticity, \(J_2\) flow theory or deformation theory, is used. This is also well-known as the plastic buckling paradox. In this clearly written paper, the usual single-load parameter buckling analysis is extended to the case where a rectangular plate is biaxially loaded by compression in one direction, and by tension in the direction orthogonal to the direction of compression. Critical loads are calculated both for \(J_2\) flow and deformation theories for various boundary conditions for the plate. The critical stresses are determined by using numerical solution of an eigenvalue problem for a range of plate geometry and loading ratio. Various different loading paths are compared to each other. Additionally, the authors obtain a striking contradiction in the buckling behaviour from the two competing theories, adding a new observation to the plastic buckling paradox.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74C05
zbMATH DE Number: 1389179
zbMATH Keywords: J(2) flow theory
zbMATH Keywords: deformation theory
zbMATH Keywords: plastic buckling paradox
zbMATH Keywords: rectangular plate
zbMATH Keywords: tension
zbMATH Keywords: compression
zbMATH Keywords: critical loads
zbMATH Keywords: critical stresses
zbMATH Keywords: eigenvalue problems
reviewed by: Hans Troger
MaRDI profile type: Publication
full work available at URL: s0020-7403(98)00055-1
OpenAlex ID: W2039708823
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description: scientific article; zbMATH DE number 1389179