Elastic and mechanical properties of carbon nanotubes

Goze, C.; Vaccarini, L.; Henrard, Luc; Bernier, P.; Hemandez, E.; Rubio, Ángel

doi:10.1016/s0379-6779(98)01071-6

Cited by 150 publications

(74 citation statements)

References 15 publications

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“…This may possibly be achieved by introducing more than one atomic species into the SWNT (e.g. boron nitride-carbon [B x N y C z ] hybrid nanotubes [21]). Alternatively, the nanohoneycombs of the type shown in Fig.…”

Section: Discussionmentioning

confidence: 99%

Can nanotubes display auxetic behaviour?

Yao

Alderson²,

Alderson

2008

Physica Status Solidi (b)

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Fully generalised analytical expressions for longitudinal Poisson's ratio are developed for armchair and zigzag Single‐Walled Nanotubes (SWNTs) using an energy equivalent approach. Deformation is assumed due to simultaneous bond stretching and bond angle variation in response to an applied axial load. A parametric study is then performed to explore under what circumstances SWNTs may exhibit auxetic (negative Poisson's ratio) response. In principle, auxetic behaviour can be achieved by modifying the hexagonal cell shape to adopt a re‐entrant geometry for the case of bond angle variation being the dominant deformation mechanism. Alternatively, altering the length of the characteristic bond oriented in an off‐axis direction to below a critical value or modifying the force constants governing the deformation modes so that bond stretching dominates for the conventional hexagonal cell shape can also lead to auxetic behaviour. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Section: Discussionmentioning

confidence: 99%

Can nanotubes display auxetic behaviour?

Yao

Alderson²,

Alderson

2008

Physica Status Solidi (b)

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“…The effective thickness of the CNT used is 0.4 nm (the theoretical value of the thickness of a single-walled CNT is approximately 0.34 nm [45]). These values for the dimensions of the CNT and material constants are chosen within the wide ranges of those for CNTs as reported in the literature [53,61,64,65,[75][76][77][78][79][80][81] and can be adjusted readily for a specific case in future simulations. For the interface conditions, perfect bonding between the CNT and matrix is assumed in all the cases studied.…”

Section: Numerical Examplesmentioning

confidence: 99%

Continuum Models of Carbon Nanotube-Based Composites Using the Boundary Element Method

Liu

Chen

2007

EJBE

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This paper presents some recent advances in the boundary element method (BEM) for the analysis of carbon nanotube (CNT)-based composites. Carbon nanotubes, formed conceptually by rolling thin graphite sheets, have been found to be extremely stiff, strong and resilient, and therefore may be ideal for reinforcing composite materials. However, the thin cylindrical shape of the CNTs presents great challenges to any computational method when these thin shell-like CNTs are embedded in a matrix material. The BEM, based on exactly the same boundary integral equation (BIE) formulation developed by Rizzo some forty years ago, turns out to be an ideal numerical tool for such simulations using continuum mechanics. Modeling issues regarding model selections, representative volume elements, interface conditions and others, will be discussed in this paper. Methods for dealing with nearly-singular integrals which arise in the BEM analysis of thin or layered materials and are crucial for the accuracy of such analyses will be reviewed. Numerical examples using the BEM and compared with the finite element method (FEM) will be presented to demonstrate the efficiency and accuracy of the BEM in analyzing the CNT-reinforced composites.

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“…Moreover, it is worth noting although many investigations on the Poisson's ratio of SWNTs have been conducted, there is no unique opinion that is widely accepted. For instance, Goze et al (1999) showed that the Poisson's ratio of (10,0), (20,0), (10,0) and (20,0) tubes are 0.275, 0.270, 0.247 and 0.256, respectively. Based on a molecular mechanics approach, Chang and Gao (2003) suggested that the Poisson's ratio for armchair and zigzag SWNTs will decrease with increase of tube diameters from 0.19 to 0.16, and 0.26 to 0.16, respectively.…”

Section: Young's Modulus and Poisson Ratio For Graphene Sheet And Swcntsmentioning

confidence: 99%