Post-buckling stability of orthotropic, linear elastic, rectangular plates under biaxial loads
type: Item
instance of: scholarly article
title: Post-buckling stability of orthotropic, linear elastic, rectangular plates under biaxial loads
zbMATH Open document ID: 0603.73047
DOI: 10.1016/0020-7403(86)90021-4
author: Henry W. jun. Haslach
published in: International Journal of Mechanical Sciences
publication date: 1986-01-01T00:00:00Z
review text: The potential energy function in a neighborhood of the buckling point for a biaxially loaded, linear elastic, orthotropic, simply supported, rectangular plate is obtained from a perturbation analysis. The perfect system has two independent bifurcation parameters, the loads. The post- buckling behavior is stable, and a good estimate is found for the post- buckling deflection of the plate in terms of the loads. The orthotropic constitutive equations interacts with the biaxial loading to cause a bimodal buckling point for certain combinations of loads; this point is also stable. Away from the bimodal point, the equilibrium surface is described as a cusp cylinder. At the bimodal point, the equilibrium surface is a double cusp.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 3974432
zbMATH Keywords: linear strain energy density function
zbMATH Keywords: linear orthotropic stress-strain relation
zbMATH Keywords: Euler equations
zbMATH Keywords: polynomial expansion of energy function
zbMATH Keywords: critical load relations
zbMATH Keywords: unimodal post-buckling
zbMATH Keywords: potential energy function
zbMATH Keywords: biaxially loaded
zbMATH Keywords: linear elastic
zbMATH Keywords: simply supported
zbMATH Keywords: rectangular plate
zbMATH Keywords: two independent bifurcation parameters
zbMATH Keywords: post-buckling behavior is stable
zbMATH Keywords: estimate
zbMATH Keywords: post-buckling deflection
zbMATH Keywords: orthotropic constitutive equations
zbMATH Keywords: biaxial loading
zbMATH Keywords: bimodal buckling point
zbMATH Keywords: equilibrium surface
zbMATH Keywords: cusp cylinder
zbMATH Keywords: double cusp
MaRDI profile type: Publication
full work available at URL: 0020-7403(86)90021-4
OpenAlex ID: W1975085868
description: scientific article; zbMATH DE number 3974432