Wave propagation in carbon nanotubes via nonlocal continuum mechanics

Research output: Journal Publications and ReviewsRGC 62 - Review of books or of software (or similar publications/items)peer-review

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Original languageEnglish
Article number124301
Journal / PublicationJournal of Applied Physics
Issue number12
Publication statusPublished - 2005
Externally publishedYes


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. © 2005 American Institute of Physics.