Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-19T11:53:53.706Z Has data issue: false hasContentIssue false
  • English
  • Français

Molecular Dynamics Simulation of Double-Walled Carbon Nanotube Vibrations: Comparison With Continuum Elastic Theories

Published online by Cambridge University Press:  05 May 2011

S. Shayan-Amin ,
H. Dalir  and
A. Farshidianfar
S. Shayan-Amin*
Affiliation:
Center for Intelligent Machines, Department of Mechanical Engineering, McGill University, Montreal H3A 2A 7, Canada
H. Dalir*
Affiliation:
Multi-scale Design Optimization Group, Department of Mechanical Engineering, McGill University, Montreal H3A 2A 7, Canada
A. Farshidianfar*
Affiliation:
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
*
*Ph.D. candidate, corresponding author
**Research Associate
***Associate Professor
Get access

Abstract

Double-walled carbon nanotubes (DWNTs) are expected to be useful as elements in improving conventional polymer-based fibers and films. An extensive molecular dynamics simulation and continuum analyses are carried out to estimate the influence of matrix stiffness and the intertube radial displacements on free vibration of an individual DWNT. The effects of nanotube length and chirality are also taken into account. The continuum analyses are based on both Euler-Bernoulli and Timoshenko beam theories which considers shear deformation and rotary inertia and for both concentric and non-concentric assumptions considering intertube radial displacements and the related internal degrees of freedom. New intertube resonant frequencies are calculated. Detailed results are demonstrated for the dependence of resonant frequencies on the matrix stiffness. The results indicate that internal radial displacement and surrounding matrix stiffness could substantially affect resonant frequencies especially for longer doublewalled carbon nanotubes of larger innermost radius at higher resonant frequencies, and thus the latter does not keep the otherwise concentric structure at ultrahigh frequencies.

Keywords

Carbon nanotubesMolecular dynamicsContinuum modelsVibrational analysis.
Type
Articles
Information
Journal of Mechanics , Volume 25 , Issue 4 , December 2009 , pp. 337 - 343
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Bachtold, A., Hadley, P.Nakanishi, T. and Dekker, C., “Logic Circuits with Carbon Nanotube Transistors,” Science, 294, pp. 1317–1320 (2001).CrossRefGoogle Scholar
2.Derycke, V., Martel, R., Appenzeller, J. and Avouris, P., “Carbon Nanotube Inter- and Intramolecular Logic Gates,” Nanoletters, 1, pp. 453–456 (2001).CrossRefGoogle Scholar
3.Lusti, H. R. and Gusev, A. A., “Finite Element Predictions for the Thermoelastic Properties of Nanotube Reinforced Polymers,” Model Simulat. Mater. Sci. Eng., 12, pp. 107–119 (2004).CrossRefGoogle Scholar
4.Lau, K. T. and Hui, H., “The Revolutionary Creation of New Advanced Materials—Carbon Nanotube,” Composite B, 33, pp. 263–277 (2003).CrossRefGoogle Scholar
5.Wong, E. W., Sheehan, P. E. and Lieber, C. M., “Nanobeam Mechanics: Elasticity, Strength, and Toughness of Nanorods and Nanotubes,” Science, 277, pp. 1971–1975 (1997).CrossRefGoogle Scholar
6.Falvo, M. R., Clary, G. J., Taylor, R. M., Chi, V., Brooks, F. P. and Washburn, S., “Bending and Buckling of Carbon Nanotubes Under Large Strain,” Nature, 389, pp. 582–584 (1997).CrossRefGoogle Scholar
7.Xiaohu, Y. and Qiang, H., “Torsional Buckling and Postbuckling Equilibrium Path of Double-Walled Carbon Nanotubes,” Compos. Sci. Technol., DOI 10.1016/j.compscitech.2007.05.025.Google Scholar
8.Wang, Q., Quek, S. and Varadan, V., “Torsional Buckling of Carbon Nanotubes,” Physics Letters A, 367, pp. 135– 39(2007).CrossRefGoogle Scholar
9.Treacy, M., Ebbesen, T. and Gibson, J., “Exceptionally High Young'S Modulus Observed for Individual Carbon Nanotubes,” Nature, 381, pp. 678–680 (1996).CrossRefGoogle Scholar
10.Guoxin, C., Xi, C. and Kysar, W., “Thermal Vibration and Apparent Thermal Contraction of Single-Walled Carbon Nanotubes,” J. Mech. Phys. Solids, 54, pp. 1206–1236 (2006).Google Scholar
11.Yoon, J., Ru, C. and Mioduchowski, A., “Vibration of an Embedded Multiwall Carbon Nanotube,” Compos. Sci. Technol., 63, pp. 1533–1542 (2003).CrossRefGoogle Scholar
12.Sun, C. and Liu, K., “Vibration of Multi-Walled Carbon Nanotubes with Initial Axial Loading,” Solid State Communications, 143, pp. 202–207 (2007).CrossRefGoogle Scholar
13.Wang, X. and Cai, H., “Effects of Initial Stress on NonCoaxial Resonance of Multi-Wall Carbon Nanotubes,” Acta. Materialia, 54, pp. 2067–2074 (2006).CrossRefGoogle Scholar
14.Yoon, J., Ru, C. and Mioduchowski, A., “Vibration and Instability of Carbon Nanotubes Conveying Fluid,” Compos. Sci. Technol., 65, pp. 1326–1336 (2005).CrossRefGoogle Scholar
15.Ahlers, F., Fletcher, N., Ebbecke, J. and Janssen, B., “Surface Acoustic Wave Driven Quantized Current Transport,” Curr. Appl. Phys., 4, pp. 529–533 (2004).CrossRefGoogle Scholar
16.Smith, B. and Luzzi, D., “Formation Mechanism of Fullerene Peapods and Coaxial Tubes: A Path for Large Scale Synthesis,” Chem. Phys. Lett., 321, pp. 169–174 (2000).CrossRefGoogle Scholar
17.Bandow, S., Takizawa, M., Hirahara, K., Yudasaka, M. and Iijima, S., “Raman Scattering Study of Double Wall Carbon Nanotubes Derived from the Chains of Fullerenes in Single-Wall Carbon Nanotubes,” Chem. Phys. Lett., 337, pp. 48–54 (2001).CrossRefGoogle Scholar
18.Thostenson, E., Li, W., Wang, D., Ren, Z. and Chou, T., “Carbon Nanotube/Carbon Fibers Hybrid Multiscale Composites,” Appl. Phys. Lett., 91, pp. 6034–6036 (2002).Google Scholar
19.Rueckers, T., Kim, K., Joselevich, E., Tseng, G., Cheung, C. and Lieber, C., “Carbon Nanotube-Based Nonvolatile Random Access Memory for Molecular Computing,” Science, 289, pp. 94–97 (2000).CrossRefGoogle Scholar
20.Cumings, J. and Zettel, A., “Low-Friction Nanoscale Linear Bearing Realized from Multiwall Carbon Nanotubes,” Science, 289, pp. 602–604 (2000).CrossRefGoogle Scholar
21.Zheng, Q. and Jiang, Q., “Multiwalled Carbon Nanotubes as Gigahertz Oscillators,” Phys. Rev. Lett., 88, pp. 045503-1-045503-3 (2002).CrossRefGoogle Scholar
22.Legoas, S. B., Coluci, V. R., Braga, S. F., Coura, P. Z., Dantas, S. O. and Galva, D. S., “Molecular-Dynamics Simulations of Carbon Nanotubes as Gigahertz Oscillators,” Phys. Rev. Lett., 90, pp. 055504-1-055504-4 (2003).CrossRefGoogle Scholar
23.Brenner, D. W., “Empirical Potential for Hydrocarbons for Use in Simulating the Chemical Vapor Deposition of Diamond Films,” Phys. Rev. B, 42, pp. 9458–9471 (1990).CrossRefGoogle Scholar
24.Girifalco, L. A., Hodak, M. and Lee, R. S., “Carbon Nanotubes, Buckyballs, Ropes, and a Universal Graphitic Potential,” Phys. Rev. B, 62, pp. 13104–13110 (2000).CrossRefGoogle Scholar
25.Lanir, Y. and Fung, Y., “Fiber Composite Columns Under Compressions,” J. Compos. Mater., 6, pp. 387–401 (1972).CrossRefGoogle Scholar
26.Hahn, H. and Williams, J., “Compression Failure Mechanisms in Unidirectional Composites,” Composite Materials: Testing and Design, 7, pp. 115–139 (1984).Google Scholar
27.Lourie, O., Cox, D. and Wagner, H., “Buckling and Collapse of Embedded Carbon Nanotubes,” Phys. Rev. Lett., 81, pp. 1638–1641 (1998).CrossRefGoogle Scholar
28.Kasumov, A., Bouchiat, H., Reulet, B., Stephan, O., Khodos, I. and Gorbatov, Y., “Conductivity and Atomic Structure of Isolated Multiwalled Carbon Nanotubes,” Europhysics Letters, 43, pp. 89–94 (1998).CrossRefGoogle Scholar
29.Cowper, G., “The Shear Coefficient in Timoshenko 'S Beam Theory,” J. Appl. Mech. ASME, 12, pp. 335–340 (1966).CrossRefGoogle Scholar