Stability and bifurcation of inflation of elastic cylinders

DOI10.1098/RSPA.2002.1024zbMath1050.74021OpenAlexW2021169219MaRDI QIDQ4470766

D. M. Haughton, Yi-Chao Chen

Publication date: 15 June 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2002.1024

zbMATH Keywords

second variation conditionincompressible hyperelastic materials

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (12)

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness ⋮ Buckling instability in arteries ⋮ A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids ⋮ Uniaxial nematic elastomers: constitutive framework and a simple application ⋮ A lower bound estimate of the critical load for compressible elastic solids ⋮ Infinitesimal stability of the equilibrium states of an incompressible, isotropic elastic tube under pressure ⋮ Stability of localized bulging in inflated membrane tubes under volume control ⋮ Stability and bifurcation of compressed elastic cylindrical tubes ⋮ Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids ⋮ On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials ⋮ A Comparison of Stability and Bifurcation Criteria for Inflated Spherical Elastic Shells ⋮ A comparison of stability and bifurcation criteria for a compressible elastic cube

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