Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves
type: Item
instance of: scholarly article
title: Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves
zbMATH Open document ID: 0788.73025
DOI: 10.1007/BF01174791
author: Juan-Miguel Gracia
published in: Acta Mechanica
publication date: 1993-10-18T00:00:00Z
review text: The paper presents the propagation of nonlinear axisymmetric wave in compressible hyperelastic circular cylindrical rods made of homogeneous isotropic materials and subjected to axial-radial deformations. For the compressible Mooney-Rivlin material, the equations of motion are obtained using the Hamilton's principle. The equations of motion are written in non-dimensional form. On the basis of the equation valid asymptotically for axial and radial displacements, the second-order solitary wave solutions are obtained.
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74J20
zbMATH DE Number: 429377
zbMATH Keywords: homogeneous isotropic materials
zbMATH Keywords: axial-radial deformations
zbMATH Keywords: Mooney-Rivlin material
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: second-order solitary wave
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01174791
OpenAlex ID: W2048589247
description: scientific article; zbMATH DE number 429377