The strain energy density of rubber-like shells
type: Item
instance of: scholarly article
title: The strain energy density of rubber-like shells
zbMATH Open document ID: 0554.73066
DOI: 10.1016/0020-7683(85)90105-2
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: Under the assumption that the state of a shell is described by the change in the first and second fundamental forms of its midsurface from an initially elastic isotropic state, an approximate strain energy density is derived, first using strictly two-dimensional arguments and then by descent from three dimensions assuming incompressibility. To within errors inherent in shell theory itself, it is shown that the strain energy density is the same as that of a plate of the same material.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 3883738
zbMATH Keywords: rubber-like shells
zbMATH Keywords: approximate strain energy density
zbMATH Keywords: strictly two- dimensional arguments
zbMATH Keywords: descent from three dimensions
zbMATH Keywords: incompressibility
author: J. G. Simmonds
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90105-2
OpenAlex ID: W1989309772
description: scientific article; zbMATH DE number 3883738