Post-buckling of a pressurized elastic sheet on a rigid surface
type: Item
instance of: scholarly article
title: Post-buckling of a pressurized elastic sheet on a rigid surface
zbMATH Open document ID: 0584.73047
DOI: 10.1016/0020-7403(85)90002-5
published in: International Journal of Mechanical Sciences
publication date: 1985-01-01T00:00:00Z
review text: An infinite elastic sheet, subject to axial forces, is pressurized on one side and constrained on the other side by a rigid flat surface. The post- buckling problem is solved by perturbation analysis and numerical integration. We find the buckling force of a perfect sheet is infinite. As displacement increases, the sheet undergoes three stages. In stage I the sheet does not touch itself and is in unstable equilibrium for constant axial force. The sheet in stage II has one point in contact with itself and is stable. Stage III is neutrally stable with one segment collapsed. A finite stability criterion is defined.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 3936635
zbMATH Keywords: infinite buckling force for perfect sheet
zbMATH Keywords: infinite elastic sheet
zbMATH Keywords: axial forces
zbMATH Keywords: pressurized on one side
zbMATH Keywords: constrained on the other side
zbMATH Keywords: rigid flat surface
zbMATH Keywords: post-buckling
zbMATH Keywords: perturbation
zbMATH Keywords: numerical integration
zbMATH Keywords: displacement increases
zbMATH Keywords: three stages
zbMATH Keywords: finite stability criterion
author: C. Y. Wang
MaRDI profile type: Publication
full work available at URL: 0020-7403(85)90002-5
OpenAlex ID: W2028914922
description: scientific article; zbMATH DE number 3936635