Infinitesimal stability of the equilibrium states of an incompressible, isotropic elastic tube under pressure

DOI10.1007/s10659-011-9321-xzbMath1293.74225OpenAlexW1994418438MaRDI QIDQ1937103

Millard F. jun. Beatty

Publication date: 11 February 2013

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-011-9321-x

zbMATH Keywords

Gent modelMooney-Rivlin modelOgden modelshear response functionradial vibrationinflated cylindrical tube

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of dynamical problems in solid mechanics (74H55) Shells (74K25)

Related Items (2)

Small superimposed radial oscillations for a class of damaged limited elastic tubes ⋮ Effect of damage on the free radial oscillations of an incompressible isotropic tube

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and bifurcation of finite deformations of elastic cylindrical membranes. I: Stability analysis
• Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity
• Stability and vibrations of elastic thick-walled cylindrical and spherical shells subjected to pressure
• Small amplitude radial oscillations of an incompressible, isotropic elastic spherical shell
• Large amplitude oscillations of a tube of incompressible elastic material
• On Constitutive Models for Limited Elastic, Molecular Based Materials
• Pressure maximum behavior in inflation of incompressible elastic hollow spheres and cylinders
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity
• Stability and bifurcation of inflation of elastic cylinders

This page was built for publication: Infinitesimal stability of the equilibrium states of an incompressible, isotropic elastic tube under pressure