Critical Strain of Carbon Nanotubes: An Atomic-Scale Finite Element Study

[+] Author and Article Information
X. Guo, X. Q. He

Department of Building and Construction, City University of Hong Kong, Hong Kong, China

A. Y. Leung1

Department of Building and Construction, City University of Hong Kong, Hong Kong, Chinabcaleung@cityu.edu.hk

H. Jiang

Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ 85287-6106

Y. Huang

Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801


Author to whom correspondence should be addressed.

J. Appl. Mech 74(2), 347-351 (Feb 22, 2006) (5 pages) doi:10.1115/1.2198548 History: Received September 30, 2005; Revised February 22, 2006

This paper employs the atomic-scale finite element method (AFEM) to study critical strain of axial buckling for carbon nanotubes (CNTs). Brenner “second-generation” empirical potential is used to model covalent bonds among atoms. The computed energy curve and critical strain for (8, 0) single-walled CNT (SWNT) agree well with molecular dynamics simulations. Both local and global buckling are achieved, two corresponding buckling zones are obtained, and the global buckling behavior of SWNT with a larger aspect ratio approaches gradually to that of a column described by Euler’s formula. For double-walled CNTs with smaller ratio of length to outer diameter, the local buckling behavior can be explained by conventional shell theory very well. AFEM is an efficient way to study buckling of CNTs.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 4

Critical strain and fitting result by Eq. 1 for global buckling of (a) (5, 5), (b) (10, 10), and (c) (15, 15) SWNTs with different length

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Figure 5

Critical strain versus the diameter of SWNT with approximate aspect ratio of 7.6

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Figure 6

Critical strain versus the outer diameter of DWNT. The ratio of length to the corresponding outer diameter is kept as ∼4.5

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Figure 3

Critical strain versus aspect ratio for (a) (5, 5) SWNT with diameter of 0.678nm, (b) (10, 10) SWNT with diameter of 1.357nm, and (c) (15, 15) SWNT with diameter of 2.036nm

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Figure 2

(a) Morphology of (16, 0) SWNT after global buckling, (b) morphology of (7, 7) SWNT after local buckling. Two kinds of buckling for CNTs with different aspect ratios.

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Figure 1

Comparison among the strain energy curves for (8, 0) SWNT



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