Analysis of plastic buckling of steel plates
type: Item
instance of: scholarly article
title: Analysis of plastic buckling of steel plates
zbMATH Open document ID: 0793.73037
DOI: 10.1016/0020-7683(93)90043-7
author: Tetsuro Inoue
author: Ben Kato
published in: International Journal of Solids and Structures
publication date: 1993-05-16T00:00:00Z
review text: Plasticity in steel is characterized by an appreciable amount of plastic flow (in the yield plateau range) which precedes strain hardening. This study is devoted to an analytical evaluation of the effective plastic shear modulus of fully yielded steel plates at the instant of buckling. It is assumed that yielding of steel follows the Tresca yield criterion and that plastic deformation of a steel plate is caused by slips. The Tresca yield criterion provides lower bending stiffness than that obtained from the von Mises yield criterion, but it does not lower the plastic shear modulus of the material at any point on the yield plateau. A new theory is proposed here that assumes a nonuniform distribution of slips depending on the orientation of an infinite number of possible slip planes at each point in the plate. The twisting of the plate is then accompanied by distorsion of its sectional shape, and this mode of buckling is shown to provide a considerable reduction in the effective plastic shear modulus. Applying this sectional stiffness and solving the differential equilibrium equation lead to a lower bifurcation strength, which provides much better correlations with experimental results than previous predictions.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 168873
zbMATH Keywords: yield plateau range
zbMATH Keywords: effective plastic shear modulus
zbMATH Keywords: Tresca yield criterion
zbMATH Keywords: slips
zbMATH Keywords: twisting
zbMATH Keywords: distorsion
zbMATH Keywords: bifurcation
reviewed by: Girish Kumar Ramaiah
MaRDI profile type: Publication
full work available at URL: 0020-7683(93)90043-7
OpenAlex ID: W2033043655
description: scientific article; zbMATH DE number 168873