Elastic properties of single-walled carbon nanotubes in compression

Cornwell, C.F.; Wille, L. T.

doi:10.1016/s0038-1098(96)00742-9

Cited by 367 publications

(232 citation statements)

References 24 publications

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“…This finite elasticity theory for curved crystalline monolayers can in principle be combined with any atomistic model. We assume in the following potentials that fall within the bond-order formalism, 27 and consider the bond-order potentials for hydrocarbons developed by Brenner 28 which have been widely applied to study the mechanics of carbon nanotubes 6,19,52 including the nucleation of defects. 53,54 In these potentials, the energy is expressed in terms of bond lengths and angles as a sum over the bonds:…”

Section: Constitutive Law For Graphenementioning

confidence: 99%

Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule

2004

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A finite deformation continuum theory is derived from interatomic potentials for the analysis of the mechanics of carbon nanotubes. This nonlinear elastic theory is based on an extension of the Cauchy-Born rule called the exponential Cauchy-Born rule. The continuum object replacing the graphene sheet is a surface without thickness. The method systematically addresses both the characterization of the small strain elasticity of nanotubes and the simulation at large strains. Elastic moduli are explicitly expressed in terms of the functional form of the interatomic potential. The expression for the flexural stiffness of graphene sheets, which cannot be obtained from standard crystal elasticity, is derived. We also show that simulations with the continuum model combined with the finite element method agree very well with zero temperature atomistic calculations involving severe deformations.Peer ReviewedPostprint (published version

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Section: Constitutive Law For Graphenementioning

confidence: 99%

Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule

2004

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“…[3][4][5][6][7] Carbon SWNTs are expected to be useful in many different fields, such as field emission displays, supercapacitors, molecular computers, and ultrahigh strength materials. However, in order to obtain the optimal performance of SWNTs in various applications, high-purity carbon SWNTs will be required.…”

Section: Introductionmentioning

confidence: 99%

Purification and Characterization of Single-Wall Carbon Nanotubes (SWNTs) Obtained from the Gas-Phase Decomposition of CO (HiPco Process)

et al. 2001

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A purification method has been developed that provides for the removal of metal catalysts and impurity carbon from laser-oven-grown single-wall carbon nanotube (SWNT) material. The oxidation rate of SWNTs in air at elevated temperatures is correlated to the metal content of the sample. Sample purity is documented with SEM, TEM, electron microprobe analysis, Raman, and UV-vis-near-IR. We also note that the relative intensity of the electronic transitions in the near-infrared to the continuum absorption at 400 nm in the UV serves as a useful monitor of the perturbation of the sidewall π-electron density of SWNTs due to sidewall substitution and/or oxidation.

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] It has been reported 12 that a mere 1 wt % of CNTs embedded into a polystyrene matrix would lead to significant increases in the overall elastic modulus and strength by approximately 35%-42% and 25%, respectively. In view of such potential applications, there is a strong motivation to understand their structural properties.…”

Section: Introductionmentioning

confidence: 99%

Examining the effects of wall numbers on buckling behavior and mechanical properties of multiwalled carbon nanotubes via molecular dynamics simulations

Zhang

Wang

Tan

2008

Journal of Applied Physics

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Molecular dynamics simulations are performed on multiwalled carbon nanotubes ͑MWCNTs͒ under axial compression to investigate the effects of the number of walls and their van der Waals ͑vdW͒ interaction on the buckling behaviors and mechanical properties ͑Young's modulus and Poisson's ratio͒. The Brenner second-generation reactive empirical bond order and Lennard-Jones 12-6 potential have been adopted to describe the short-range bonding and long-range vdW atomic interaction within the carbon nanotubes, respectively. In the presence of vdW interaction, the buckling strain and Young's modulus of MWCNTs increase as the number of tubes is increased while keeping the outermost tube diameter constant, whereas Poisson's ratio was observed to decrease. On the other hand, when the MWCNTs are formed by progressively adding outer tubes while keeping the innermost tube diameter constant, Young's modulus and buckling strain were observed to decrease, whereas Poisson's ratio increases. The buckling load increases with increasing the number of walls due to the larger cross-sectional areas. Individual tubes of MWCNTs with a relatively large difference between the diameters of the inner and outer tubes buckle one at a time as opposed to simultaneously for MWCNTs with a relatively small difference in diameters.

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Elastic properties of single-walled carbon nanotubes in compression

Cited by 367 publications

References 24 publications

Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule

Finite crystal elasticity of carbon nanotubes based on the exponential Cauchy-Born rule

Purification and Characterization of Single-Wall Carbon Nanotubes (SWNTs) Obtained from the Gas-Phase Decomposition of CO (HiPco Process)

Examining the effects of wall numbers on buckling behavior and mechanical properties of multiwalled carbon nanotubes via molecular dynamics simulations

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