Mechanics of nanowire/nanotube in-surface buckling on elastomeric substrates

J. Xiao*, S. Y. Ryu, Y. Huang, K. C. Hwang, U. Paik, J. A. Rogers

*Corresponding author for this work

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

A continuum mechanics theory is established for the in-surface buckling of one-dimensional nanomaterials on compliant substrates, such as silicon nanowires on elastomeric substrates observed in experiments. Simple analytical expressions are obtained for the buckling wavelength, amplitude and critical buckling strain in terms of the bending and tension stiffness of the nanomaterial and the substrate elastic properties. The analysis is applied to silicon nanowires, single-walled carbon nanotubes, multi-walled carbon nanotubes, and carbon nanotube bundles. For silicon nanowires, the measured buckling wavelength gives Young's modulus to be 140GPa, which agrees well with the prior experimental studies. It is shown that the energy for in-surface buckling is lower than that for normal (out-of-surface) buckling, and is therefore energetically favorable.

Original languageEnglish (US)
Article number085708
JournalNanotechnology
Volume21
Issue number8
DOIs
StatePublished - Feb 15 2010

Fingerprint

Nanotubes
Nanowires
Buckling
Mechanics
Silicon
Substrates
Carbon Nanotubes
Nanostructured materials
Carbon nanotubes
Wavelength
Bending (deformation)
Continuum mechanics
Single-walled carbon nanotubes (SWCN)
elastomeric
Elastic moduli
Stiffness
Experiments

ASJC Scopus subject areas

  • Bioengineering
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Electrical and Electronic Engineering

Cite this

Xiao, J. ; Ryu, S. Y. ; Huang, Y. ; Hwang, K. C. ; Paik, U. ; Rogers, J. A. / Mechanics of nanowire/nanotube in-surface buckling on elastomeric substrates. In: Nanotechnology. 2010 ; Vol. 21, No. 8.
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Mechanics of nanowire/nanotube in-surface buckling on elastomeric substrates. / Xiao, J.; Ryu, S. Y.; Huang, Y.; Hwang, K. C.; Paik, U.; Rogers, J. A.

In: Nanotechnology, Vol. 21, No. 8, 085708, 15.02.2010.

Research output: Contribution to journalArticle

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AU - Xiao, J.

AU - Ryu, S. Y.

AU - Huang, Y.

AU - Hwang, K. C.

AU - Paik, U.

AU - Rogers, J. A.

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AB - A continuum mechanics theory is established for the in-surface buckling of one-dimensional nanomaterials on compliant substrates, such as silicon nanowires on elastomeric substrates observed in experiments. Simple analytical expressions are obtained for the buckling wavelength, amplitude and critical buckling strain in terms of the bending and tension stiffness of the nanomaterial and the substrate elastic properties. The analysis is applied to silicon nanowires, single-walled carbon nanotubes, multi-walled carbon nanotubes, and carbon nanotube bundles. For silicon nanowires, the measured buckling wavelength gives Young's modulus to be 140GPa, which agrees well with the prior experimental studies. It is shown that the energy for in-surface buckling is lower than that for normal (out-of-surface) buckling, and is therefore energetically favorable.

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