Modeling the instability of carbon nanotubes: From continuum mechanics to molecular dynamics

被引：3

作者：

Wang Q. ^{[1
]}

Duan W.H. ^{[2
]}

Wang Q. ^{[1
]}

Liew K.M. ^{[4
]}

机构：

[1] Department of Mechanical and Manufacturing Engineering, University of Manitoba

[2] Department of Civil Engineering, Monash University

[3] Dalian Sanatorium of Shenyang Military Region

[4] Department of Building and Construction, City University of Hong Kong, Hong Kong

来源：

Journal of Nanotechnology in Engineering and Medicine | 2010年 / 1卷 / 01期

关键词：

Beamlike and shell-like buckling; Carbon nanotubes; Continuum mechanics; Molecular dynamics; Nanoscience;

D O I：

10.1115/1.3212820

中图分类号：

学科分类号：

摘要：

A hybrid continuum mechanics and molecular mechanics model is developed in this paper to predict the critical strain, stress, and buckling load of the inelastic buckling of carbon nanotubes. With the proposed model, the beamlike and shell-like buckling behav- ior of carbon nanotubes can be analyzed in a unified approach. The buckling solutions from the hybrid model are verified from molecular dynamics simulations via the MATERI- ALS STUDIO software package and from available research findings. The existence of the optimum diameter, at which the buckling load reaches its maximum, and the correlation of the diameter with the length of carbon nanotubes, as predicted by Liew et al. (2004, "Nanomechanics of Single and Multiwalled Carbon Nanotubes," Phys. Rev. B, 69(11), pp. 115429), are uncovered by the hybrid model. The simplicity and effectiveness of the proposed model are not only able to reveal the chiral and size-dependent buckling solutions for carbon nanotubes, but also enable a thorough understanding of the stability behavior of carbon nanotubes in potential applications. © 2010 by ASME.

引用

共 56 条

[31]

James R.D., Objective Structures, J. Mech. Phys. Solids, 54, 11, pp. 2354-2390, (2006)

[32]

Wang Q., Duan W.H., Liew K.M., He X.Q., Inelastic Buckling of Carbon Nanotubes, Appl. Phys. Lett, 90, 3, (2007)

[33]

Johnston B.G., (1966)

[34]

Timoshenko S., Theory of Elastic Stability, (1961)

[35]

Xiao T., Xu X.J., Liao K., Characterization of Nonlinear Elasticity and Elastic Instability in Single-Walled Carbon Nanotubes, J. Appl. Phys, 95, 12, pp. 8145-8148, (2004)

[36]

Chang T.C., Guo W.L., Guo X.M., Buckling of Multiwalled Carbon Nanotubes Under Axial Compression and Bending Via a Molecular Mechanics Model, Phys. Rev. B, 72, 6, (2005)

[37]

Chang T.C., Li G.Q., Guo X.M., Elastic Axial Buckling of Carbon Nanotubes Via a Molecular Mechanics Model, Carbon, 43, 2, pp. 287-294, (2005)

[38]

Wang Q., Liew K.M., Duan W.H., Modeling of the Mechanical Instability of Carbon Nanotubes, Carbon, 46, 2, pp. 285-290, (2008)

[39]

Adams G.B., Sankey O.F., Page J.B., Okeeffe M., Drabold D.A., Energetics of Large Fullerenes-Balls, Tubes, and Capsules, Science, 256, 5065, pp. 1792-1795, (1992)

[40]

Robertson D.H., Brenner D.W., Mintmire J.W., Energetics of Nanoscale Graphitic Tubules, Phys. Rev. B, 45, 21, pp. 12592-12595, (1992)

← 1 2 3 4 5 6 →