Elastica type buckling analysis of bars from nonlinearly elastic material

DOI10.1016/0020-7462(87)90013-8zbMath0606.73045OpenAlexW2020948965MaRDI QIDQ1084923

J. G. Mallis, Anthony N. Kounadis

Publication date: 1987

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(87)90013-8

zbMATH Keywords

large deflectionsConditions of stabilitystrongly nonlinear differential equationbar axis shorteningbar slenderness ratiocritical state equilibriumindividual and coupling effectpost-buckling responsesimply supported, axially compressed, uniform bar

Mathematics Subject Classification ID

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

Related Items (7)

Post-buckling of simply supported column made of nonlinear elastic materials obeying the generalized Ludwick constitutive law ⋮ Buckling of softening columns in a continuum damage mechanics perspective -- local versus non-local formulation ⋮ The effects of material nonlinearity and compressibility in the buckling of nonlinear elastic systems ⋮ Stability analysis of nonlocal elastic columns with initial imperfection ⋮ Accurate analytical approximation to post-buckling of column with Ramberg-Osgood constitutive law ⋮ Flexural buckling and post-buckling of columns made of aluminium alloy ⋮ Large deflections and buckling loads of cantilever columns with constant volume

This page was built for publication: Elastica type buckling analysis of bars from nonlinearly elastic material