Chapter 7 - Mechanics of Multiwall Carbon Nanotubes: Unique Structures, Beam and Shell Models, Sliding and Friction

Abstract

Atomic lattice structures of multiwall carbon nanotubes (MWCNTs) are examined, along with an analysis of their unique material properties. Two distinct classes of porous MWCNTs and MWCNT membranes are discussed with their separation criteria. A formula for the correction to Poisson’s ratio in porous MWCNTs is presented. A unique nanoscale buckling phenomenon associated with short MWCNTs has been examined, along with the simultaneous beam- and shell-like buckling modes. Atomic potentials for MWCNTs have been reviewed, along with the expressions for the stresses. Solution of the thickness paradox for MWCNTs has been discussed, along with a review of different approaches for the equivalent-continuum models. Timoshenko beam model for MWCNTs has been presented, along with the formulae for the analysis of their bending and vibration. Interfacial sliding and friction of the internal walls in MWCNTs has been investigated. A nanoscale analog of Newton’s friction law has been presented, along with an interfacial friction model for MWCNTs.