Combined torsional buckling of multi-walled carbon nanotubes coupling with axial loading and radial pressures
type: Item
instance of: scholarly article
title: Combined torsional buckling of multi-walled carbon nanotubes coupling with axial loading and radial pressures
zbMATH Open document ID: 1169.74021
author: B. E. Eshmatov
published in: International Journal of Solids and Structures
publication date: 2008-11-27T00:00:00Z
review text: Due to the fact that experimental research and molecular dynamics simulations of torsional buckling of multi-walled carbon nanotubes (MWNT) remain a formidable task, the authors study the torsional buckling of MWNT under combined torque, axial loading and radial pressure using a continuum mechanics model which takes into account the van der Waals interaction between adjacent tubes. In the presented analysis, the authors assume that the twist per unit length caused by the applied torque is identical for different layers of MWNT, i.e. the shear membrane force of each layer is related to its radius. A condition is derived for determination of the critical buckling torque, which includes the axial buckling and radial pressure. In particular, an explicit expression is obtained for combined torsional buckling. Numerical examples illustrate the effect of the axial stress (axial tensile stress or axial compressive stress), and the effect of internal pressure and external pressure on the critical buckling torque. Some results are compared with the results known in the literature.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74M25
zbMATH DE Number: 5374685
zbMATH Keywords: van der Waals forces
zbMATH Keywords: continuum mechanics model
zbMATH Keywords: critical buckling torque
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.ijsolstr.2007.11.009
OpenAlex ID: W2078226592
cites work: An atomistic-based finite deformation membrane for single layer crystalline films
cites work: Modeling of van der Waals force for infinitesimal deformation of multi-walled carbon nanotubes treated as cylindrical shells
cites work: A cohesive law for carbon nanotube/polymer interfaces based on the van der Waals force
cites work: Buckling characteristics of embedded multi-walled carbon nanotubes
cites work: Mechanics of deformation of single- and multi-wall carbon nanotubes
cites work: Curvature effects on axially compressed buckling of a small-diameter double-walled carbon nanotube
cites work: Axially compressed buckling of a double-walled carbon nanotube embedded in an elastic medium
cites work: Postbuckling of double-walled carbon nanotubes with temperature dependent properties and initial defects under combined axial and radial mechanical loads
cites work: Axially compressed buckling of pressured multiwall carbon nanotubes.
cites work: Buckling of embedded multi-walled carbon nanotubes under combined torsion and axial loading
cites work: Fracture Nucleation in Single-Wall Carbon Nanotubes Under Tension: A Continuum Analysis Incorporating Interatomic Potentials
cites work: An atomistic-based continuum theory for carbon nanotubes: analysis of fracture nucleation
DOI: 10.1016/J.IJSOLSTR.2007.11.009
description: scientific article; zbMATH DE number 5374685