Scale effect on wave propagation of double-walled carbon nanotubes

    Authors

    Q. Wang; G. Y. Zhou;K. C. Lin

    Comments

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    Abbreviated Journal Title

    Int. J. Solids Struct.

    Keywords

    carbon nanotubes; wave propagation; nonlocal continuum mechanics; Euler-Bernoulli beam; Timoshenko beam; cut-off frequency; asymptotic; velocity; dispersion relations; CONTINUUM MODELS; STIFFNESS; Mechanics

    Abstract

    Scale effect on transverse wave propagation in double-walled carbon nanotubes (D"Ts) is studied via nonlocal elastic continuous models. The nonlocal Euler-Bernoulli and Timoshenko beam models are proposed to study the small-scale effect on wave dispersion results for DWNTs with respect to the variation of D"T's wavenumbers and diameters by theoretical analyses and numerical simulations. The cut-off frequency, asymptotic phase velocity, and asymptotic frequency are also derived from the nonlocal continuum models. A rough estimation on the scale coefficient used in the nonlocal continuum models is proposed for the study of carbon nanotubes (CNTs) in the manuscript. The diameter-dependent dispersion relations for DWNTs via the nonlocal continuum models are observed as well. In addition, the applicability of the two beam models is explored by numerical simulations. The research work reveals the significance of the small-scale effect on wave propagation in multi-walled carbon nanotubes. (c) 2005 Elsevier Ltd. All rights reserved.

    Journal Title

    International Journal of Solids and Structures

    Volume

    43

    Issue/Number

    20

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    6071

    Last Page

    6084

    WOS Identifier

    WOS:000240782000009

    ISSN

    0020-7683

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