Bifurcation of plane incompressible elastic membranes subjected to dead- load tractions
type: Item
instance of: scholarly article
title: Bifurcation of plane incompressible elastic membranes subjected to dead- load tractions
zbMATH Open document ID: 0604.73039
DOI: 10.1016/0020-7683(87)90058-8
author: B. George
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: An incomplete elastic membrane subjected to dead-load tractions is considered. General bifurcation criteria are obtained for homogeneous shape-change bifurcations, incremental modes of bifurcation and for the emergence of shear bands. The homogeneous mode of bifurcation is the first to occur and we show that incremental bifurcation modes may exist as secondary bifurcations. We find that shear bands may occur simultaneously with the incremental modes.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3976495
zbMATH Keywords: arbitrary form of the strain-energy function
zbMATH Keywords: equi-biaxial dead loading
zbMATH Keywords: post-bifurcation path
zbMATH Keywords: local incremental bifurcation mode
zbMATH Keywords: equations of small deformations superposed on large
zbMATH Keywords: incomplete elastic membrane
zbMATH Keywords: dead-load tractions
zbMATH Keywords: General bifurcation criteria
zbMATH Keywords: homogeneous shape- change bifurcations
zbMATH Keywords: incremental modes of bifurcation
zbMATH Keywords: shear bands
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90058-8
OpenAlex ID: W1980398218
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description: scientific article; zbMATH DE number 3976495