Two-dimensional elastica model for describing the flexural behavior of single-walled carbon nanotubes

DOI10.1007/s10659-016-9587-0zbMath1354.74126OpenAlexW2501080797WikidataQ56561652 ScholiaQ56561652MaRDI QIDQ506679

M. R. Delfani

Publication date: 1 February 2017

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-016-9587-0

zbMATH Keywords

single-walled carbon nanotubeflexural behaviortwo-dimensional elastica

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Kinematics of deformation (74A05)

Cites Work

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• A novel nonlinear constitutive relation for graphene and its consequence for developing closed-form expressions for Young's modulus and critical buckling strain of single-walled carbon nanotubes
• An atomistic-based finite deformation membrane for single layer crystalline films
• A study on the bending stiffness of single-walled carbon nanotubes and related issues
• Predicting the elastic properties of single-walled carbon nanotubes
• Effects of orthotropy and variation of Poisson's ratio on the behaviour of tubes in pure flexure
• Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads
• The Brazier effect for finite length composite cylinders under bending
• A mixed variational principle and its application to the nonlinear bending problem of orthotropic tubes. I: Development of general theory and reduction to cylindrical shells. II: Application to nonlinear bending of circular cylindrical tubes
• Postbuckling prediction of double-walled carbon nanotubes under hydrostatic pressure
• The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials.
• Continuum models of multi-walled carbon nanotubes
• Mechanical properties of single-walled carbon nanotubes based on higher order Cauchy-Born rule
• Buckling analysis of multi-walled carbon nanotubes: a continuum model accounting for van der Waals interaction
• Effective in-plane stiffness and bending rigidity of armchair and zigzag carbon nanotubes
• Longitudinally inhomogeneous deformation patterns in isotropic tubes under pure bending
• Finite pure bending of circular cylindrical tubes
• Theory of Shell Structures

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