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SPECIAL SECTION: SIMULATION AND EXPERIMENTAL STUDIES AND APPLICATIONS OF CARBON NANOTUBES AND GRAPHENES IN ENGINEERING AND MEDICINE: Guest Editorial

Buckling Instability of Carbon Nanotube Atomic Force Microscope Probe Clamped in an Elastic Medium

[+] Author and Article Information
Jin-Xing Shi

Interdisciplinary Graduate
School of Science and Technology,
Shinshu University,
3-15-1 Tokida,
Ueda-shi, 386-8567, Japan

Toshiaki Natsuki

e-mail: natsuki@shinshu-u.ac.jp

Qing-Qing Ni

Faculty of Textile Science and Technology,
Shinshu University,
3-15-1 Tokida,
Ueda-shi, 386-8567, Japan

1Corresponding author.

Manuscript received April 1, 2012; final manuscript received July 11, 2012; published online September 24, 2012. Assoc. Editor: Quan Wang.

J. Nanotechnol. Eng. Med 3(2), 020903 (Sep 24, 2012) (5 pages) doi:10.1115/1.4007215 History: Received April 01, 2012; Revised July 11, 2012

Carbon nanotubes (CNTs) can be used as atomic force microscope (AFM) probes due to their robust mechanical properties, high aspect ratio and small diameter. In this study, a model of CNTs clamped in an elastic medium is proposed as CNT AFM probes. The buckling instability of the CNT probe clamped in elastic medium is analyzed based on the nonlocal Euler–Bernoulli beam model and the Whitney–Riley model. The clamped length of CNTs, and the stiffness of elastic medium affect largely on the stability of CNT AFM probe, especially at high buckling mode. The result shows that the buckling stability of the CNT AFM probe can be largely enhanced by increasing the stiffness of elastic medium. Moreover, the nonlocal effects of buckling instability are investigated and found to be lager for high buckling mode. The theoretical investigation on the buckling stability would give a useful reference for designing CNT as AFM probes.

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Figures

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Fig. 1

(a) A proposed SWCNT AFM probe clamped in an elastic medium and (b) the analytical model for the clamped SWCNT

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Fig. 2

The first four buckling mode shapes of clamped SWCNT AFM probes, L2/L1 = 2

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Fig. 3

Relationship between the critical buckling stress and buckling modes for clamped SWCNTs with different length ratio L2/L1, e0a = 0 nm

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Fig. 4

Relationship between the critical buckling stress and buckling modes for SWCNTs clamped in different mediums, e0a = 0 nm and L2/L1 = 2

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Fig. 5

Effects of nonlocal scale parameters on the buckling stability of clamped SWCNTs, L2/L1 = 2

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