Bending and buckling of carbon nanotubes under large strain
Abstract
The curling of a graphitic sheet to form carbon nanotubes produces a class of materials that seem to have extraordinary electrical and mechanical properties. In particular, the high elastic modulus of the graphite sheets means that the nanotubes might be stiffer and stronger than any other known material, with beneficial consequences for their application in composite bulk materials and as individual elements of nanometre-scale devices and sensors. The mechanical properties are predicted to be sensitive to details of their structure and to the presence of defects, which means that measurements on individual nanotubes are essential to establish these properties. Here we show that multiwalled carbon nanotubes can be bent repeatedly through large angles using the tip of an atomic force microscope, without undergoing catastrophic failure. We observe a range of responses to this high-strain deformation, which together suggest that nanotubes are remarkably flexible and resilient.
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Electroactive polymer (EAP) actuators are attractive mainly because of their large-strain discontinuous actuations driven by electrical field or current, easy control and low cost.
“The electroactive polymer (EAP) actuators, as new technological devices, are attractive mainly because of their large-strain discontinuous actuations driven by electrical field or current, easily control and low cost [124].”
From Shape-memory polymers for multiple applications in the materials world (2016) · cites this paper as [124]
Cites
Helical microtubules of graphitic carbon
Iijima, S. (1991) · Nature · doi:10.1038/354056a0 · Cited by 43,218 · see citing works
LANDAU, L. D., & LIFSHITZ, E. M. (1951) · Cited by 5,843 · see citing works
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 5,447 · see citing works
Science of fullerenes and carbon nanotubes
Ebert, L. B. (1997) · Carbon · doi:10.1016/s0008-6223(97)89618-2 · Cited by 4,503 · see citing works
Large-scale synthesis of carbon nanotubes
Ebbesen, T. W., & Ajayan, P. M. (1992) · Nature · doi:10.1038/358220a0 · Cited by 3,141 · see citing works
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 2,646 · see citing works
Nanotubes as nanoprobes in scanning probe microscopy
Dai, H., Hafner, J. H., Rinzler, A. G., et al. (1996) · Nature · doi:10.1038/384147a0 · Cited by 2,214 · see citing works
Elastic Properties of Carbon Nanotubes and Nanoropes
Lu, J. P. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.1297 · Cited by 1,640 · see citing works
Mechanical and thermal properties of carbon nanotubes
Ruoff, R. S., & Lorents, D. C. (1995) · Carbon · doi:10.1016/0008-6223(95)00021-5 · Cited by 1,385 · see citing works
Structural flexibility of carbon nanotubes
Iijima, S., Brabec, C., Maiti, A., & Bernholc, J. (1996) · The Journal of Chemical Physics · doi:10.1063/1.470966 · Cited by 1,250 · see citing works
Energetics of nanoscale graphitic tubules
Robertson, D. H., Brenner, D. W., & Mintmire, J. W. (1992) · Physical review. B, Condensed matter · doi:10.1103/physrevb.45.12592 · Cited by 980 · see citing works
Carbon Nanotubes: Preparation and Properties
Ebbesen, T. W. (1996) · Medical Entomology and Zoology · Cited by 684 · see citing works
High strain rate fracture and C-chain unraveling in carbon nanotubes
Yakobson, B. I., Campbell, M. P., Brabec, C. J., et al. (1997) · Computational Materials Science · doi:10.1016/s0927-0256(97)00047-5 · Cited by 516 · see citing works
Fully collapsed carbon nanotubes
Chopra, N. G., Benedict, L. X., Crespi, V. H., et al. (1995) · Nature · doi:10.1038/377135a0 · Cited by 498 · see citing works
Defects in Carbon Nanostructures
Zhou, O. Z., Fleming, R. M., MURPHY, D. W., et al. (1994) · Science · doi:10.1126/science.263.5154.1744 · Cited by 478 · see citing works
Energetics of carbon nano-tubes
Sawada, S., & Hamada, N. (1992) · Solid State Communications · doi:10.1016/0038-1098(92)90911-r · Cited by 195 · see citing works
Bifurcation and localization instabilities in cylindrical shells under bending—II. Predictions
Ju, G. T., & Kyriakides, S. (1992) · International Journal of Solids and Structures · doi:10.1016/0020-7683(92)90140-o · Cited by 194 · see citing works
Taylor, R. M., Robinett, W., Chi, V. L., Brooks, F. P., Wright, W. V., Williams, R. S., & Snyder, E. (1993) · ACM SIGGRAPH Conference (SIGGRAPH) · doi:10.1145/166117.166133 · Cited by 178 · see citing works
Self-citationZoom-Invariant Vision of Figural Shape: The Mathematics of Cores
Pizer, S. M., Eberly, D. H., Morse, B. S., & Fritsch, D. (1996) · Carolina Digital Repository (University of North Carolina at Chapel Hill) · doi:10.17615/gd04-qq42 · Cited by 141 · see citing works
Flexibility of graphene layers in carbon nanotubes
Després, J. F., Daguerre, E., & Lafdi, K. (1995) · Carbon · doi:10.1016/0008-6223(95)91118-q · Cited by 134 · see citing works
Surface modification tools in a virtual environment interface to a scanning probe microscope
Finch, M. T., Chi, V. L., Taylor, R. M., et al. (1995) · ACM Symposium on Interactive 3D Graphics (I3D) · doi:10.1145/199404.199406 · Cited by 38 · see citing works
Self-citationOn local buckling of thin shells
Axelrad, E. L. (1985) · International Journal of Non-Linear Mechanics · doi:10.1016/0020-7462(85)90033-2 · Cited by 35 · see citing works
Stimulated Cores and their Applications in Medical Imaging
Fritsch, D., Eberly, D. H., Pizer, S. M., et al. (1994) · Cited by 28 · see citing works
Lieber, C. M. (1997) · APS · Cited by 1 · see citing works
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Load transfer in carbon nanotube epoxy composites
Schadler, L. S., Giannaris, S. C., & Ajayan, P. M. (1998) · Applied Physics Letters · doi:10.1063/1.122911 · Cited by 1,657 · see citing works
Shape-memory polymers for multiple applications in the materials world
Pilate, F., Toncheva, A., Dubois, P., & Raquez, J.-M. (2016) · European Polymer Journal · doi:10.1016/j.eurpolymj.2016.05.004 · Cited by 332 · see citing works
The asbestos-carbon nanotube analogy: An update
Kane, A. B., Hurt, R. H., & Gao, H. (2018) · Toxicology and Applied Pharmacology · doi:10.1016/j.taap.2018.06.027 · Cited by 106 · see citing works
Neural interfaces engineered via micro- and nanostructured coatings
Chen, N., Tian, L., Patil, A. C., Peng, S., Yang, I. H., Thakor, N. V., & Ramakrishna, S. (2017) · Nano Today · doi:10.1016/j.nantod.2017.04.007 · Cited by 74 · see citing works
- Authors
- Falvo, M. R., Clary, G. J., Taylor, R. M., Chi, V., Brooks, F. P., Washburn, S., & Superfine, R.
- Affiliations
- University of North Carolina at Chapel Hill (US)
- Corresponding author
- Superfine, R.
- Venue
- Nature
- Published
- 1997-10
- Volume
- 389
- Issue
- 6651
- Pages
- 582-584
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W1982519899
- Cited by
- 1,475
- References
- 24
- Citations by year
- 2026: 12 · 2025: 10 · 2024: 13 · 2023: 20 · 2022: 30 · 2021: 30 · 2020: 31 · 2019: 29 · 2018: 49 · 2017: 56 · 2016: 58 · 2015: 48 · 2014: 68 · 2013: 76 · 2012: 58
- FWCI
- 34.90
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Carbon Nanotubes in Composites
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Force Microscopy Techniques and Applications
- Keywords
- carbon nanotubes, multi-walled carbon nanotubes, bending, buckling, large strain deformation, resilience engineering, mechanical properties, nanotube defects
- MeSH terms
- Carbon, Elasticity, Graphite, Microscopy, Atomic Force
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