A Nonlinear Mechanical Model for Tension of Bundles of Single-Walled Carbon Nanotubes


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Tensile strength distributions of multi-walled carbon nanotubes (MWNTs), single-walled carbon nanotube (SWNT) ropes and sub-bundles are studied by statistical approach based on the experimental data sets. It shows that the distributions can be adequately described by a two-parameter Weibull model. Considering further their nonlinear stress-strain behavior, the force-strain relation and tensile strength of SWNT bundles are studied. The Weibull modulus of the sub-bundles in a SWNT bundle can be estimated in terms of the maximum sustained force and the failure strain of the bundle. A SWNT bundle was subjected to tensile testing using a nano-mechanical testing device. The result suggests that the nonlinear behavior of SWNTs does affect the force-strain relation of SWNT bundles, mainly at large strain.



Key Engineering Materials (Volumes 334-335)

Edited by:

J.K. Kim, D.Z. Wo, L.M. Zhou, H.T. Huang, K.T. Lau and M. Wang




T. Xiao et al., "A Nonlinear Mechanical Model for Tension of Bundles of Single-Walled Carbon Nanotubes", Key Engineering Materials, Vols. 334-335, pp. 793-796, 2007

Online since:

March 2007




[1] H.M. Cheng, F. Li, X. Sun, S.D.M. Brown, M.A. Pimenta, A. Marucci, G. Dresselhaus, and M.S. Dresselhaus: Chem. Phys. Lett. 289 (1998), p.602.

[2] R. Andrew, D. Jacques, D. Qian, and E.C. Dickey: Carbon 39 (2001), p.1681.

[3] M.F. Yu, O. Lourie, M. Dyer, K. Moloni, T. Kelly, and R.S. Ruoff: Science 287 (2002), p.637.

[4] M.F. Yu, B.S. Files, S. Arepalli, and R.S. Ruoff: Phys. Rev. Lett. 84 (2000), p.5552.

[5] A.H. Barber, I. Kaplan-Ashiri, S.R. Cohen, R. Tenne, and H.D. Wagner: Compos. Sci. Technol. 65 (2005), p.2380.

[6] K. Liao, Y. Ren, and T. Xiao, in: Polymer Nanocomposites, edited by Y.W. Mai and Z.Z. Yu, Chapter 13, Woodhead Publishing (2006).

[7] H.M. Cheng, F. Li, G. Su, H.Y. Pan, L.L. He, X. Sun, and M.S. Dresselhaus: Appl. Phys. Lett. 72 (1998), p.3282.

[8] T. Xiao and K. Liao: Phys. Rev. B 66 (2002), p.153407.

[9] M.T. Heath: Scientific Computing: An Introductory Survey, Second Edition (McGraw- Hill, New York 2002).

[10] T. Xiao, Y. Ren, P. Wu, and K. Liao: submitted to Appl. Phys. Lett. (2006).

[11] T.W. Chou: Microstructural design of fiber composites (Cambridge University Press, Cambridge 1992).

[12] D.G. Harlow and S.L. Phoenix: J. Compos. Mater. 12 (1978), p.195 and p.314.

[13] P.C. Hemmer and A. Hansen: J. Appl. Mech. 59 (1992), p.909.

[14] W. Lee: Phys. Rev. E 50 (1994), p.3797.