Fully collapsed carbon nanotubes

Chopra, Nasreen G.; Benedict, Lorin X.; Crespi, Vincent H.; Cohen, Marvin L.; Louie, Steven G.; Zettl, A.

doi:10.1038/377135a0

Cited by 483 publications

(368 citation statements)

References 17 publications

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“…First measurements of interlayer cohesive energy in MWNTs are based on TEM observations by Chopra et al (1995) who discovered that in certain cases MWNTs can collapse, forming ribbons (figure 9). This collapse is driven by a decrease in energy due to interlayer attraction that is balanced by an increase in curvature at the edges of the collapsed nanotube (figure 9b).…”

Section: (C ) Mechanical Measurements: Interlayer Forcementioning

confidence: 99%

Nanomechanics of carbon nanotubes

Kis

Zettl

2008

Phil. Trans. R. Soc. A.

110

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Some of the most important potential applications of carbon nanotubes are related to their mechanical properties. Stiff sp 2 bonds result in a Young's modulus close to that of diamond, while the relatively weak van der Waals interaction between the graphitic shells acts as a form of lubrication. Previous characterization of the mechanical properties of nanotubes includes a rich variety of experiments involving mechanical deformation of nanotubes using scanning probe microscopes. These results have led to promising prototypes of nanoelectromechanical devices such as high-performance nanomotors, switches and oscillators based on carbon nanotubes.

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Section: (C ) Mechanical Measurements: Interlayer Forcementioning

confidence: 99%

Nanomechanics of carbon nanotubes

Kis

Zettl

2008

Phil. Trans. R. Soc. A.

110

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“…However, they are applicable in other situations, such as boron-nitride nanotubes and other thin ÿlms. Since the discovery of these crystalline tubes in 1991, many studies have focused on their unique mechanical properties, through experiments (Yu et al, 2000;Chopra et al, 1995;Yu et al, 2001b), molecular dynamics (MD) and molecular mechanics (MM) simulations (Bernholc et al, 1998;Gao et al, 1998) and ÿrst-principles calculations (Zhou et al, 2001;Maiti, 2000). Although molecular simulations seem well suited to study these systems, they are not completely satisfactory; they are computationally very demanding and the output often requires considerable post-processing to be useful.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, they are restricted to small strains. However, experiments (Chopra et al, 1995) and ÿrst-principles calculations (Maiti, 2000) show that carbon nanotubes undergo very large deformations, with highly nonlinear behavior and still remain elastic, with stable bonds and intact bond topology. Experiments of nanotubes severely deformed with an AFM tip (Falvo et al, 1997) show the resilience and exibility of these molecules; they recover elastically from extremely bent and buckled conÿgurations.…”

Section: Introductionmentioning

confidence: 99%

“…Continuum models have been used to explain experimental observations on the transverse stability of nanotubes (Chopra et al, 1995;Yu et al, 2001a). These are extremely simpliÿed models but bring insights as well as quantitative information on the relevant physical phenomena.…”

Section: Introductionmentioning

confidence: 99%

“…There is experimental evidence (Chopra et al, 1995;Bernholc et al, 1998;Falvo et al, 1997) of the existence of such buckled conÿgurations.…”

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confidence: 99%

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An atomistic-based finite deformation membrane for single layer crystalline films

Arroyo

Belytschko

2002

Journal of the Mechanics and Physics of Solids

323

241

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A general methodology to develop hyper-elastic membrane models applicable to crystalline ÿlms one-atom thick is presented. In this method, an extension of the Born rule based on the exponential map is proposed. The exponential map accounts for the fact that the lattice vectors of the crystal lie along the chords of the curved membrane, and consequently a tangent map like the standard Born rule is inadequate. In order to obtain practical methods, the exponential map is locally approximated. The e ectiveness of our approach is demonstrated by numerical studies of carbon nanotubes. Deformed conÿgurations as well as equilibrium energies of atomistic simulations are compared with those provided by the continuum membrane resulting from this method discretized by ÿnite elements.

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