Hyperelastic Finite Element Model for Single Wall Carbon Nanotubes in Tension

EI Saavedra-Flores, S Adhikari, MI Friswell (Swansea University) & F Scarpa (University of Bristol)

Computational Material Science, Vol. 50, No. 3, January 2011, pp. 1083-1087

Abstract

This paper investigates the hyperelastic behaviour of single wall carbon nanotubes (SWCNTs) by means of a finite element-based lattice approach. A one-term incompressible Ogden-type hyperelastic model is chosen to describe the mechanical response of SWCNTs under tensile loading. In order to determine the material constants of the model, numerical tests are conducted on a representative arrangement of carbon atoms, establishing equality between the Ogden strain-energy and the variation of the Terso-Brenner interatomic potential. The material constants determined here are then used in numerical simulations carried out on SWCNTs models. A very good predictive capability of the present model is found when the obtained results are compared to published data. A first important conclusion obtained from the present work suggests that a value of 0.147nm for the C-C bond equivalent diameter is suitable for the hyperelastic description of SWCNTs. A second important conclusion reveals a prediction of 0.51 for the breaking strain of SWCNTs under tension, which is in excellent agreement with results obtained from molecular dynamics simulations and continuum theory.

Paper Availability

This material has been published in the Computational Material Science, Vol. 50, No. 3, January 2011, pp. 1083-1087. Unfortunately the copyright agreement with Elsevier does not allow for the PDF file of the paper to be available on this website. However the paper is available from ScienceDirect - see the link below.


Link to paper using doi: 10.1016/j.commatsci.2010.11.005

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