Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube
type: Item
instance of: scholarly article
title: Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube
zbMATH Open document ID: 0976.34034
author: D. P. Mason
author: N. Roussos
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-10-23T00:00:00Z
review text: Axisymmetric radial oscillations of an infinitely long, hyperelastic cylindrical tube of Mooney-Rivlin material are considered. This leads to a nonlinear, second-order differential equation. By means of a Lie symmetry analysis nonlinear superposition can be applied in this case. Some approximate solution is also proposed.
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 22E70
zbMATH DE Number: 1471619
zbMATH Keywords: finite elasticity
zbMATH Keywords: Lie point symmetries
zbMATH Keywords: symmetry breaking
zbMATH Keywords: limiting oscillations
zbMATH Keywords: first integral
zbMATH Keywords: nonlinear superposition
reviewed by: I. V. Andrianov
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6748
OpenAlex ID: W2067628320
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DOI: 10.1006/JMAA.2000.6748
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description: scientific article; zbMATH DE number 1471619