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Stability of a compressible elastic rod with imperfections

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Publication:1118453
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DOI10.1007/BF01253580zbMath0668.73043OpenAlexW2039894818MaRDI QIDQ1118453

Teodor M. Atanacković

Publication date: 1989

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01253580


zbMATH Keywords

concentrated forcesarbitrary intensityaxially loadedlinear constitutive lawsload imperfectionsshape imperfections


Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Fracture and damage (74R99) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)


Related Items

Twisted axially loaded rod with shear and compressibility ⋮ Secondary bifurcation of a compressible rod with spring-supports ⋮ Fluid conveying pipe with shear and compressibility



Cites Work

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  • Singularities and groups in bifurcation theory. Volume I
  • On the equilibrium configurations of compressible slender bars
  • Classification of one-state-variable bifurcation problems up to codimension seven
  • General solutions for plane extensible elasticae having nonlinear stress-strain laws


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