Inflation and eversion of spherical shells of a special compressible material
type: Item
instance of: scholarly article
title: Inflation and eversion of spherical shells of a special compressible material
zbMATH Open document ID: 0773.73057
DOI: 10.1007/BF00041145
author: J. G. Murphy
published in: Journal of Elasticity
publication date: 1993-08-30T00:00:00Z
review text: A study is made of the qualitative features of the inflation of a shell of the so-called material of type II. This material has a strain energy function which is linear in \(i_ 1\), \(i_ 3\) and arbitrary in \(i_ 2\), where \(i_ 1\), \(i_ 2\), and \(i_ 3\) are the three principal invariants of the stretch tensors. For a specific form of the arbitrary function, a closed-form solution to the equations of equilibrium describing spherical eversion can also be found. By using this solution, a comparison can be made between the qualitative features of the regular and everted shells under internal pressure.
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 370405
zbMATH Keywords: material of type II
zbMATH Keywords: strain energy function
zbMATH Keywords: equations of equilibrium
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00041145
OpenAlex ID: W1976304265
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description: scientific article; zbMATH DE number 370405