Complete solution of elastica for a clamped-hinged beam, and its applications to a carbon nanotube

DOI10.1007/s00707-006-0402-zzbMath1117.74032OpenAlexW2160631119MaRDI QIDQ2641488

Yozo Mikata

Publication date: 20 August 2007

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

Full work available at URL: https://digital.library.unt.edu/ark:/67531/metadc776999/

zbMATH Keywords

Young's moduluspost-buckling solution

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Related Items (12)

Exact solutions for the buckling and postbuckling of shear-deformable beams ⋮ Curvature arising in shape memory polymer sheets via light absorption ⋮ Elliptic integral solution of the extensible elastica with a variable length under a concentrated force ⋮ Stability analysis of nonlocal elastic columns with initial imperfection ⋮ Stability of inflectional elasticae centered at vertices or inflection points ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads ⋮ A continuum mechanics based derivation of Reissner's large-displacement finite-strain beam theory: the case of plane deformations of originally straight Bernoulli-Euler beams ⋮ Postbuckling behavior of variable-arc-length elastica connected with a rotational spring joint including the effect of configurational force ⋮ Critical points of the clamped-pinned elastica ⋮ Exact solutions for the buckling and postbuckling of a shear-deformable cantilever subjected to a follower force ⋮ A review on buckling and postbuckling of thin elastic beams ⋮ Unnamed Item

Cites Work

• The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials.
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium
• Unnamed Item

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