The torsional buckling of a cruciform column under compressive load with a vertex plasticity model

DOI10.1016/j.ijsolstr.2010.08.017zbMath1202.74064OpenAlexW2111912594MaRDI QIDQ615732

M. Schurig, Albrecht Bertram

Publication date: 6 January 2011

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2010.08.017

zbMATH Keywords

torsionelastoplasticitybucklingplasticityvon-Karman-theory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Bifurcation and buckling (74G60)

Uses Software

• ABAQUS
• Python

Cites Work

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• An incremental elastic-viscoplastic theory indicating a reduced modulus for non-proportional buckling
• A general theory of uniqueness and stability in elastic-plastic solids
• Plate buckling in the plastic range
• Plastic buckling of circular tubes under axial compression. II: Analysis
• A class of plastic constitutive equations with vertex effect. I. General theory
• A class of phenomemological corner theories of plasticity
• Shear band formation in plane strain
• Localized necking in thin sheets
• A general framework for the numerical solution of problems in finite elasto-plasticity
• An alternative approach to finite plasticity based on material isomorphisms
• Yield anisotropy effects on buckling of circular tubes under bending
• Micromechanical analysis of the development of a yield vertex in polycrystal plasticity
• About the plastic buckling of the cruciform column
• Elastic/plastic buckling of thick plates

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