Global bifurcation in nonlinear elasticity with an application to barrelling states of cylindrical columns

DOI10.1023/B:ELAS.0000005562.30458.43zbMath1072.74028OpenAlexW4232497877MaRDI QIDQ1431596

Errol L. Montes-Pizarro, Timothy J. Healey

Publication date: 11 June 2004

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

Full work available at URL: https://doi.org/10.1023/b:elas.0000005562.30458.43

zbMATH Keywords

Blatz-Ko materialcomplementing conditionGreen-Hadamard material

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items

Local bifurcation analysis of a second-gradient model for deformations of a rectangular slab, Taylor-like bifurcations for a compressible isotropic elastic tube, A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids, ANALYTICAL SOLUTIONS FOR THE POST-BUCKLING STATES OF AN INCOMPRESSIBLE HYPERELASTIC LAYER, Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: asymptotic solution and mechanism, On the algebraic Riccati equations of finite elastostatics, Violation of the complementing condition and local bifurcation in nonlinear elasticity, Classical injective solutions in the large in incompressible nonlinear elasticity, Stability and bifurcation of compressed elastic cylindrical tubes, Shear-driven planar Couette and Taylor-like instabilities for a class of compressible isotropic elastic solids, Localized thickening of a compressed elastic band, Global bifurcation of anti-plane shear fronts, Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism, The flip side of buckling, The complementing and Agmon's conditions in finite elasticity, On bifurcation in finite elasticity: Buckling of a rectangular rod