Large deflections of nonlinearly elastic non-prismatic cantilever beams made from materials obeying the generalized Ludwick constitutive law

DOI10.1007/S11012-009-9209-ZzbMath1258.74125OpenAlexW2156821999MaRDI QIDQ1937641

Yanyan Li

Publication date: 1 March 2013

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-009-9209-z

zbMATH Keywords

large deflectionsmaterial and geometrical nonlinearitiesnon-prismatic beamsgeneralized Ludwick constitutive law

Mathematics Subject Classification ID

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

Related Items (10)

Large displacement behaviour of tapered cantilever Euler-Bernoulli beams made of functionally graded material ⋮ Post-buckling of simply supported column made of nonlinear elastic materials obeying the generalized Ludwick constitutive law ⋮ Large deflections of tapered functionally graded beams subjected to end forces ⋮ Inelastic deformations of stainless steel leaf springs -- experiment and nonlinear analysis ⋮ Elastic wave propagation in weakly nonlinear media and metamaterials: a review of recent developments ⋮ Effect of material nonlinearity on large deflection of variable-arc-length beams subjected to uniform self-weight ⋮ Large deflection of curved elastic beams made of Ludwick type material ⋮ Large deflection of a nonlinear, elastic, asymmetric Ludwick cantilever beam subjected to horizontal force, vertical force and bending torque at the free end ⋮ A simple method for determining large deflection states of arbitrarily curved planar elastica ⋮ Primary resonance of coupled cantilevers subjected to magnetic interaction

Cites Work

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• Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces
• Large deflections of cantilever beams of nonlinear materials of the Ludwick type subjected to an end moment
• Global buckling load of a nonlinearly elastic bar
• Buckling and post-buckling of a nonlinearly elastic column
• Large elastic deformations of isotropic materials. I. Fundamental concepts

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