Compressive Instability of Carbon Nanotubes


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Based on both molecular mechanics and computational structural mechanics, a three-dimensional (3D) equivalent beam element is developed to model a C-C covalent bond on carbon nanotubes (CNTs) whereas the van der Waals forces between atoms in the different walls of multi-walled CNTs are described using a rod element. The buckling characteristics of CNTs are conveniently analyzed by using the traditional finite element method (FEM) of a 3D beam and rod model, termed as molecular structural mechanics approach (MSMA). Moreover, to model the CNTs with large length or large diameter, the validity of Euler’s beam buckling theory and a shell model with proper properties defined from the results of MSMA is investigated. The predicted results by this simple continuum mechanics approach agree well with the reported experimental data.



Key Engineering Materials (Volumes 353-358)

Edited by:

Yu Zhou, Shan-Tung Tu and Xishan Xie




N. Hu et al., "Compressive Instability of Carbon Nanotubes", Key Engineering Materials, Vols. 353-358, pp. 2187-2190, 2007

Online since:

September 2007




[1] M. Meyyappan: Carbon Nanotubes: Science and Applications, CRC press, LLC (2004).

[2] H. Dai et al.: Nature Vol. 384 (1996), p.147.

[3] S. Akita et al.: Jpn. J. Appl. Phys. Vol. 39 (2000), p.7086.

[4] A. Sears and R.C. Batra: Phys. Rev. B Vol. 69 (2004), p.235406.

[5] C. Li and T.W. Chou: Int. J. Solids and Struct. Vol. 40 (2003), p.2487.

[6] J.F. Waters et al.: Appl. Phys. Lett. Vol. 87 (2005), p.103109.

[7] N. Hu et al.: Proc. Royal Soc. Series A Vol. 461 (2005), p.1685.

[8] N. Hu et al.: Comput. Meth. Appl. Mech. Engrg. Vol. 171 (1999), p.87.

[9] SSRC (Structure Stability Research Council), Guide to Stability Design Criteria for Metal Structures, John, Wiley & Sons (1976) Table 2 Comparison of results of Euler's theory and experiments.

[3] Fig. 4 Comparison of results of MSMA, FEM shell model and Timoshenko's theory Table 1 Parameters of carbon nanotube specimens.

[3] .

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