Buckling Analysis of a Five-walled CNT with Nonlocal Theory

A continuum model is presented to study vdW interaction on buckling analysis of multi-walled walled carbon nanotube. In previous studies, only the vdW interaction between adjacent two layers was considered and the vdW interaction between the other two layers was neglected. The results show that the vdW interaction cofficients are dependent on the change of interlayer spacing and the radii of tubes. With increase of radii the vdW coefficients approach a constant value. The numerical results show that the effect of vdW interaction on the critical strain for a doublewalled CNT is negligible when the radius is large enough for the both the cases of before and after buckling.




References:
[1] X.Q. He, S. Kitipornchai, K.M. Liew,.2004. Buckling analysis of multiwalled
carbon anotubes: a continuum model accounting for van der
Waals interaction, int .J. Mech. Phys. 53 (2005) 303-326.
[2] Ru, C.Q., 2001. Axially compressed buckling of a double-walled carbon
nanotube embedded in an elastic medium. J. Mech. Phys.Solids 49,
1265-1279.
[3] Y.Q. Zhang, G.R. Liu, X. Han, Effect of small length scale on elastic
buckling of multiwalled arbon nanotube under radial pressure.Phys.lett.
A349(2006) 370-376.
[4] Saito, R., Dresselhous, G., Dresselhous, M.S.,1998. Physical properties
of carbon nonotubes.Imperial College