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Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number
Open accessAbstract
The complete energy expression of a deformed single-walled carbon nanotube (SWNT) is derived in the continuum limit from the local density approximation model proposed by Lenosky et al. [Nature (London) 355, 333 (1992)] and is shown to be consistent with the classic shell theory by which Young's modulus, the Poisson ratio, and the effective wall thickness of SWNT's are obtained as $Y=4.70 \mathrm{TPa},$ $\ensuremath{\nu}=0.34,$ and $h=0.75 \mathrm{\AA{}},$ respectively. The elasticity of a multiwalled carbon nanotube (MWNT) is investigated as the combination of the above SWNT's of layer distance $d=3.4 \mathrm{\AA{}}$ and the effective Young's modulus of the MWNT is found to be an apparent function of the number of layers, N, varying from 4.70 to 1.04 TPa for $N=1$ to $\ensuremath{\infty}.$
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Cites
Helical microtubules of graphitic carbon
Iijima, S. (1991) · Nature · doi:10.1038/354056a0 · Cited by 43,098
Exceptionally high Young's modulus observed for individual carbon nanotubes
Treacy, M. M. J., Ebbesen, T. W., & Gibson, J. M. (1996) · Nature · doi:10.1038/381678a0 · Cited by 5,428
Nanobeam Mechanics: Elasticity, Strength, and Toughness of Nanorods and Nanotubes
Wong, E. W., Sheehan, P. E., & Lieber, C. M. (1997) · Science · doi:10.1126/science.277.5334.1971 · Cited by 4,810
Physical Properties of Carbon Nanotubes
Saito, R., Dresselhaus, G., & Dresselhaus, M. S. (1998) · IMPERIAL COLLEGE PRESS eBooks · doi:10.1142/9781860943799 · Cited by 4,808
Differential geometry of curves and surfaces
(2011) · Choice Reviews Online · doi:10.5860/choice.48-3330 · Cited by 3,706
Nanomechanics of Carbon Tubes: Instabilities beyond Linear Response
Yakobson, B. I., Brabec, C. J., & Bernholc, J. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.2511 · Cited by 2,642
Young’s modulus of single-walled nanotubes
Krishnan, A., Dujardin, E., Ebbesen, T. W., Yianilos, P. N., & Treacy, M. M. J. (1998) · Physical Review B · doi:10.1103/physrevb.58.14013 · Cited by 1,667
Elastic Properties of Carbon Nanotubes and Nanoropes
Lu, J. P. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.1297 · Cited by 1,636
Bending and buckling of carbon nanotubes under large strain
Falvo, M. R., Clary, G. J., Taylor, R. M., Chi, V., Brooks, F. P., Washburn, S., & Superfine, R. (1997) · Nature · doi:10.1038/39282 · Cited by 1,475
Elastic Properties of C and BxCyNz Composite Nanotubes
Hernandez, E. R., Goze‐Bac, C., Bernier, P., & Rubio, Á. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.4502 · Cited by 1,288
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Metadata
- Authors
- Tu, Z.-C., & Ou-Yang, Z.-C.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2002-06-11
- Volume
- 65
- Issue
- 23
- ISSN
- 0163-1829 (ISSN-L)
- 1095-3795
- OpenAlex
- W1512954309
- Cited by
- 335
- References
- 26
- FWCI
- 9.83
- Type
- journal article
- Language
- en
- Open access
- green
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- Tu, Z.-C., & Ou-Yang, Z.-C. (2002). Single-walled and multiwalled carbon nanotubes viewed as elastic tubes with the effective Young’s moduli dependent on layer number. Physical Review B. https://doi.org/10.1103/physrevb.65.233407
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