Title

Wave propagation in carbon nanotubes via nonlocal continuum mechanics

Authors

Authors

Q. Wang

Comments

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Abbreviated Journal Title

J. Appl. Phys.

Keywords

TRANSVERSE VIBRATIONS; COMPOSITES; ELASTICITY; STIFFNESS; Physics, Applied

Abstract

Wave propagation in carbon nanotubes (CNTs) is studied with two nonlocal continuum mechanics models: elastic Euler-Bernoulli and Timoshenko beam models [Philos. Mag. 41, 744 (1921)]. The small-scale effect on CNTs wave propagation dispersion relation is explicitly revealed for different CNTs wave numbers and diameters by theoretical analyses and numerical simulations. The asymptotic phase velocities and frequency are also derived from nonlocal continuum mechanics. The scale coefficient in nonlocal continuum mechanics is roughly estimated for CNTs from the obtained asymptotic frequency. In addition, the applicability and comparison of the two nonlocal elastic beam models to CNTs wave propagation are explored through numerical simulations. The research findings are proved effective in predicting small-scale effect on CNTs wave propagation with a qualitative validation study based on the published experimental reports in this field. (c) 2005 American Institute of Physics.

Journal Title

Journal of Applied Physics

Volume

98

Issue/Number

12

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

6

WOS Identifier

WOS:000234339700054

ISSN

0021-8979

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