The finite elastodynamics of hyperelastic thin tubes

DOI10.1016/0020-7462(80)90043-8zbMath0441.73076OpenAlexW1973200582MaRDI QIDQ1143222

J. A. Baker, Colin Rogers

Publication date: 1980

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(80)90043-8

zbMATH Keywords

displacement fieldexact solutioncanonical formfree oscillationMooney-Rivlin materialsextension of Pinney's theoremfour-parameter class of strain energy potentialsHeaviside loading problemshyperelastic tubenon-linear equation governing large amplitude oscillation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (4)

Lie-theoretical generalization and discretization of the Pinney equation ⋮ Nonlinear radial oscillations of a transversely isotropic hyperelastic incompressible tube ⋮ Nonlinear periodic oscillation of a cylindrical microvoid centered at an isotropic incompressible Ogden cylinder ⋮ Lie symmetry analysis and approximate solutions for nonlinear radial oscillations of an incompressible Mooney-Rivlin cylindrical tube

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