Erratum: Transversely isotropic elastic properties of single-walled carbon nanotubes [Phys. Rev. B<b>69</b>, 045414 (2004)]

Shen, Laifa; Li, Jackie

doi:10.1103/physrevb.81.119902

Cited by 37 publications

(71 citation statements)

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“…The approach used is that adopted in previous analytical models for auxetic behaviour in cellular structures, and also adopted by Shen and Li [17] and Wu et al [18] specifically for nanotubes. The derivation of the analytical expressions is included here for completeness, and the expressions themselves are thus natural extensions of the expressions developed in refs.…”

Section: Single-walled Nanotube Geometrymentioning

confidence: 99%

“…Modelling approaches that have been adopted to predict SWNT Poisson's ratio include: Molecular Dynamics [5]; Molecular Mechanics [13]; and analytical approaches based on geometry [14], lattice-dynamics [15] and energy equivalent considerations bridging molecular mechanics and continuum mechanics [16][17][18]. Finite Element modelling and an analytical model based on beam flexing have been employed to model the Poisson's ratio of tubular truss-like structures having the tessellating hexagon motif [19].…”

Section: Introductionmentioning

confidence: 99%

“…This paper reports a detailed parametric investigation into the Poisson's ratios of SWNTs. The energy equivalent approach of Shen and Li [17] is extended to consider generalised armchair and zigzag SWNTs and the circumstances under which the generalised analytical model predicts auxetic behaviour is explored.…”

Section: Introductionmentioning

confidence: 99%

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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: Single-walled Nanotube Geometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Can nanotubes display auxetic behaviour?

Yao

Alderson²,

Alderson

2008

Physica Status Solidi (b)

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“…In this work the Shen [1][2][3] analytical closed expressions are considered, derived by means of an energy approach in the framework of molecular mechanics. These expressions allow determining the sensitivity to the selected key parameters: the CNTs diameter and the number of walls.…”

Section: Closed Expressions For Transversely Isotropic Properties Of mentioning

confidence: 99%

“…Although most of the references found only report values for the longitudinal modulus, few references are related to the determination of the full set of transversely isotropic properties of SWCNT and MWCNT [1,[5][6].…”

Section: Introductionmentioning

confidence: 99%

Analysis of the elastic properties of CNTs and their effect in polymer nanocomposites

et al. 2018

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Abstract.A study about of the influence of CNTs elastic properties in polymer nanocomposites is presented. These properties are assumed to be dependent on the CNTs diameter and number of walls, identified as key characteristics of these reinforcements. The analysis is carried out using a micromechanical model based on the mean field homogenization theory for the prediction of the composite elastic properties of a MWCNT -epoxy resin system. A transversally isotropic elastic behavior has been considered for the CNTs based on values/dependencies reported in the literature. Interphase properties between the CNT and epoxy resin has been investigated by means of molecular dynamics simulations.

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Vibrational behavior of non‐uniform piezoelectric sandwich beams made of CNT‐reinforced polymer nanocomposite by considering the agglomeration effect of CNTs

et al. 2016

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The present work deals with natural frequency analysis of non‐uniform nanocomposite beams with surface‐bonded piezoelectric layers by considering the agglomeration effect of Carbon Nanotubes (CNTs). The material properties of the nanocomposite beam are predicted employing Eshelby–Mori–Tanaka approach based on an equivalent fiber and compared with available experimental data in the literature. The equation of motion is derived employing Hamilton's principle and Generalized Differential Quadrature technique as an efficient and accurate numerical tool is employed for free vibration analysis of the structures. Detailed parametric studies are carried out to examine influences of CNTs volume fraction, CNTs agglomeration, thickness of piezoelectric layers, piezoelectric constant, dielectric constant, boundary conditions etc., on the behavior of freely vibrating smart structure. Results represent that for some cases, consideration of agglomeration effect of CNTs is not required while for some other cases it has a significant role on the response. The numerical results also reveal that using thick piezoelectric layer does not necessarily improve the natural frequency of the structure. POLYM. COMPOS., 38:E553–E562, 2017. © 2016 Society of Plastics Engineers

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Erratum: Transversely isotropic elastic properties of single-walled carbon nanotubes [Phys. Rev. B69, 045414 (2004)]

Cited by 37 publications

References 0 publications

Can nanotubes display auxetic behaviour?

Can nanotubes display auxetic behaviour?

Analysis of the elastic properties of CNTs and their effect in polymer nanocomposites

Vibrational behavior of non‐uniform piezoelectric sandwich beams made of CNT‐reinforced polymer nanocomposite by considering the agglomeration effect of CNTs

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