Postbuckling of an elastic plate in a rigid channel
type: Item
instance of: scholarly article
title: Postbuckling of an elastic plate in a rigid channel
zbMATH Open document ID: 0581.73056
DOI: 10.1016/0020-7403(86)90034-2
author: George G. Adams
author: Richard C. Benson
published in: International Journal of Mechanical Sciences
publication date: 1986-01-01T00:00:00Z
review text: The postbuckling of a thin, elastic plate in a frictional channel of rigid parallel walls is studied. Different modes of contact between the plate and the channel walls are identified and modelled using the theory of the elastica. Example results are presented which illustrate the sequence of deflections through which the postbuckled plate passes. Loading on the plate is also studied, and it is found that narrow channels arrest the initial buckling of the plate but permit a second stage of collapse at higher force levels. This work would have application to the design of automatic machinery for the handling of flexible elastic sheets such as film, cloth and paper.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
zbMATH DE Number: 3930469
zbMATH Keywords: cylindrical bending
zbMATH Keywords: quasi-static transport
zbMATH Keywords: obstacle
zbMATH Keywords: very flexible materials
zbMATH Keywords: jamming
zbMATH Keywords: postbuckling
zbMATH Keywords: thin, elastic plate
zbMATH Keywords: frictional channel
zbMATH Keywords: rigid parallel walls
zbMATH Keywords: Different modes of contact
zbMATH Keywords: sequence of deflections
zbMATH Keywords: Loading
zbMATH Keywords: narrow channels arrest the initial buckling
zbMATH Keywords: second stage of collapse at higher force levels
MaRDI profile type: Publication
full work available at URL: 0020-7403(86)90034-2
OpenAlex ID: W2011259464
description: scientific article; zbMATH DE number 3930469