Post-buckling of simply supported column made of nonlinear elastic materials obeying the generalized Ludwick constitutive law

DOI10.1002/ZAMM.201100081zbMath1317.74040OpenAlexW2008947452MaRDI QIDQ2897195

Wasuroot Saetiew, Somchai Chucheepsakul

Publication date: 9 July 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100081

zbMATH Keywords

shooting methodhysteresis loopsnap-through phenomenonlimit load point

Mathematics Subject Classification ID

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

Related Items (6)

Buckling of softening columns in a continuum damage mechanics perspective -- local versus non-local formulation ⋮ 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 deflection of curved elastic beams made of Ludwick type material ⋮ Large deflections and buckling loads of cantilever columns with constant volume ⋮ Generalized second moment of areas of regular polygons for Ludwick type material and its application to cantilever column buckling

Cites Work

• Large deflections of cantilever beams of non-linear elastic material under a combined loading
• Determining large deflections in rectangular combines loaded cantilever beams made of non-linear Ludwick type material by means of different arc length assumptions
• Elastica type buckling analysis of bars from nonlinearly elastic material
• Large deflections of cantilever beams of nonlinear materials of the Ludwick type subjected to an end moment
• Large deflections of point loaded cantilevers with nonlinear behaviour
• Large deflections of nonlinearly elastic non-prismatic cantilever beams made from materials obeying the generalized Ludwick constitutive law
• Buckling and post-buckling of a nonlinearly elastic column

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