Can nanotubes display auxetic behaviour?

Can nanotubes display auxetic behaviour?

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 axia...

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Veröffentlicht in:Physica Status Solidi (b) 2008-11, Vol.245 (11), p.2373-2382
Hauptverfasser: Yao, Yong Tao, Alderson, Andrew, Alderson, Kim Lesley
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62.20.dj
62.23.−c
81.07.De
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Mechanical and acoustical properties of condensed matter
Mechanical properties of nanoscale materials
Physics
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container_title Physica Status Solidi (b)
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creator Yao, Yong Tao
Alderson, Andrew
Alderson, Kim Lesley
description 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)
doi_str_mv 10.1002/pssb.200880266
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subjects 62.20.dj
62.23.−c
81.07.De
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Mechanical and acoustical properties of condensed matter
Mechanical properties of nanoscale materials
Physics
title Can nanotubes display auxetic behaviour?
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