Mechanics of buckled carbon nanotubes on elastomeric substrates

J. Xiao; H. Jiang; D. Y. Khang; J. Wu; Y. Huang; J. A. Rogers

doi:10.1063/1.2968228

Mechanics of buckled carbon nanotubes on elastomeric substrates

J. Xiao, H. Jiang, D. Y. Khang, J. Wu, Y. Huang, J. A. Rogers

Research output: Contribution to journal › Article › peer-review

Abstract

The buckling of carbon nanotubes (CNTs) on elastomeric substrates is studied in this paper. Simple expressions of the buckle wavelength and amplitude and the critical strain for buckling are obtained analytically. For single-walled CNTs, the wavelength is proportional to the CNT radius to the 3/4 power, while it increases linearly with the number of walls for multiwalled CNTs. For two parallel CNTs on the surface of the elastomeric substrate, there exists a critical spacing below which the two CNTs interact and buckle together, adopting the same wavelength. This cobuckling wavelength is very close to the wavelength for the larger CNT to buckle independently, i.e., the larger tube dominates the coupled buckling.

Original language	English (US)
Article number	033543
Journal	Journal of Applied Physics
Volume	104
Issue number	3
DOIs	https://doi.org/10.1063/1.2968228
State	Published - 2008
Externally published	Yes

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General Physics and Astronomy

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10.1063/1.2968228

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title = "Mechanics of buckled carbon nanotubes on elastomeric substrates",

abstract = "The buckling of carbon nanotubes (CNTs) on elastomeric substrates is studied in this paper. Simple expressions of the buckle wavelength and amplitude and the critical strain for buckling are obtained analytically. For single-walled CNTs, the wavelength is proportional to the CNT radius to the 3/4 power, while it increases linearly with the number of walls for multiwalled CNTs. For two parallel CNTs on the surface of the elastomeric substrate, there exists a critical spacing below which the two CNTs interact and buckle together, adopting the same wavelength. This cobuckling wavelength is very close to the wavelength for the larger CNT to buckle independently, i.e., the larger tube dominates the coupled buckling.",

author = "J. Xiao and H. Jiang and Khang, {D. Y.} and J. Wu and Y. Huang and Rogers, {J. A.}",

note = "Funding Information: We thank K. Colravy for help with processing using facilities at the Frederick Seitz Materials Research Laboratory. This material is based upon work supported by the National Science Foundation under Grant Nos. NIRT-0403489 and DMI-0328162, the U. S. Department of Energy, Division of Materials Sciences under Award No. DEFG02-91ER45439, through the Frederick Seitz MRL and Center for Microanalysis of Materials at the University of Illinois at Urbana-Champaign. Y.H. acknowledges the financial support from National Natural Science Foundation of China (NSFC). H.J. acknowledges the support from NSF Grant No. CMMI-0700440.",

year = "2008",

doi = "10.1063/1.2968228",

language = "English (US)",

volume = "104",

journal = "Journal of Applied Physics",

issn = "0021-8979",

publisher = "American Institute of Physics",

number = "3",

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TY - JOUR

T1 - Mechanics of buckled carbon nanotubes on elastomeric substrates

AU - Xiao, J.

AU - Jiang, H.

AU - Khang, D. Y.

AU - Wu, J.

AU - Huang, Y.

AU - Rogers, J. A.

N1 - Funding Information: We thank K. Colravy for help with processing using facilities at the Frederick Seitz Materials Research Laboratory. This material is based upon work supported by the National Science Foundation under Grant Nos. NIRT-0403489 and DMI-0328162, the U. S. Department of Energy, Division of Materials Sciences under Award No. DEFG02-91ER45439, through the Frederick Seitz MRL and Center for Microanalysis of Materials at the University of Illinois at Urbana-Champaign. Y.H. acknowledges the financial support from National Natural Science Foundation of China (NSFC). H.J. acknowledges the support from NSF Grant No. CMMI-0700440.

PY - 2008

Y1 - 2008

N2 - The buckling of carbon nanotubes (CNTs) on elastomeric substrates is studied in this paper. Simple expressions of the buckle wavelength and amplitude and the critical strain for buckling are obtained analytically. For single-walled CNTs, the wavelength is proportional to the CNT radius to the 3/4 power, while it increases linearly with the number of walls for multiwalled CNTs. For two parallel CNTs on the surface of the elastomeric substrate, there exists a critical spacing below which the two CNTs interact and buckle together, adopting the same wavelength. This cobuckling wavelength is very close to the wavelength for the larger CNT to buckle independently, i.e., the larger tube dominates the coupled buckling.

AB - The buckling of carbon nanotubes (CNTs) on elastomeric substrates is studied in this paper. Simple expressions of the buckle wavelength and amplitude and the critical strain for buckling are obtained analytically. For single-walled CNTs, the wavelength is proportional to the CNT radius to the 3/4 power, while it increases linearly with the number of walls for multiwalled CNTs. For two parallel CNTs on the surface of the elastomeric substrate, there exists a critical spacing below which the two CNTs interact and buckle together, adopting the same wavelength. This cobuckling wavelength is very close to the wavelength for the larger CNT to buckle independently, i.e., the larger tube dominates the coupled buckling.

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Mechanics of buckled carbon nanotubes on elastomeric substrates

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