NONLOCAL FLUGGE SHELL MODEL FOR THERMAL BUCKLING OF MULTI-WALLED CARBON NANOTUBES WITH LAYERWISE BOUNDARY CONDITIONS

作者：Ansari R^*; Rouhi H

来源：Journal of Thermal Stresses, 2012, 35(4): 326-341.

DOI：10.1080/01495739.2012.663683

• Flugge shell model
• Multi-walled carbon nanotubes
• Rayleigh-Ritz method
• Small scale effect
• Thermal buckling

Presented herein is the thermal buckling analysis of multi-walled carbon nanotubes on the basis of nonlocal Flugge shell model capturing small scale effects. Based upon the continuum mechanics, a multiple-shell model is adopted in which the nested tubes are coupled with each other through the van der Waals interlayer interaction. The utilized van der Waals model incorporating the interlayer interactions between any two layers, whether adjacent or non-adjacent is curvature dependent. To analytically solve the problem, the Rayleigh-Ritz method was implemented to the variational form equivalent to the Flugge type equations. The present analysis provides the possibility of considering different combinations of layerwise boundary conditions. It is shown that the shell-like thermal buckling is significantly sensitive to the nonlocal parameter variation, whereas the column-like thermal buckling remains unaffected when the nonlocal parameter is varied.

• 出版日期2012