Equivalent Continuum Models for the Simulation of Mechanical Properties of Carbon Nanotube by Global-Local Homogenization Method

Article Preview

Abstract:

In this paper, the global-local homogenization method is applied for two kinds of equivalent continuum models to analyze the effective mechanical properties of single-walled carbon nano tube (CNT). The material and geometric parameters are provided by equating the molecular potential energy of nano-structure material with the strain energy of equivalent continuum tube and equivalent continuum frame. The results show that global-local homogenization method is effective to investigate the mechanical properties of single-walled nano-structure with a reasonable selection for equivalent continuum models (representative volume element RVE). The variations of the effective Young’s modulus with chiral parameters, thickness of models and poisson’s ratio of carbon nanotube are discussed for both zig-zag and armchair configurations. Comparing with the results from other classical methods, the homogenization method with equivalent continuum models can give moderate and stable results.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 97-101)

Pages:

2167-2170

Citation:

Online since:

March 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] N. Toshiaki, E. Morinobu, T. Kriengkamol, Carbon, 42 (2004), p.39.

Google Scholar

[2] C. F. Cornwell, L. T. Wille, Mater. Solid State Commun., 101 (1997), p.555.

Google Scholar

[3] E. Hernandez, C. Goze and P. Bernier, Phys. Rev. Lett., 80 (1998), p.4502.

Google Scholar

[4] B. I. Yakobson, C. J. Brabec and J. Bernholc, Phys. Rev. Lett., 61 (1996), p.2511.

Google Scholar

[5] X. L. Gao, K. Li, Int. J. Solids Struct. 40 (2003), p.7329.

Google Scholar

[6] C. Li, T. W. Chou, Int. J. Solids Struct. 40 (2003), p.2487.

Google Scholar