Nonlocal scale effects on ultrasonic wave characteristics of nanorods

Narendar, S. ; Gopalakrishnan, S. (2010) Nonlocal scale effects on ultrasonic wave characteristics of nanorods Physica E: Low-dimensional Systems and Nanostructures, 42 (5). pp. 1601-1604. ISSN 1386-9477

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In this paper, the nonlocal elasticity theory has been incorporated into classical Euler–Bernoulli rod model to capture unique features of the nanorods under the umbrella of continuum mechanics theory. The strong effect of the nonlocal scale has been obtained which leads to substantially different wave behaviors of nanorods from those of macroscopic rods. Nonlocal Euler–Bernoulli bar model is developed for nanorods. Explicit expressions are derived for wavenumbers and wave speeds of nanorods. The analysis shows that the wave characteristics are highly over estimated by the classical rod model, which ignores the effect of small-length scale. The studies also shows that the nonlocal scale parameter introduces certain band gap region in axial wave mode where no wave propagation occurs. This is manifested in the spectrum cures as the region where the wavenumber tends to infinite (or wave speed tends to zero). The results can provide useful guidance for the study and design of the next generation of nanodevices that make use of the wave propagation properties of single-walled carbon nanotubes.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Nanorod; Nonlocal Elasticity; Escape Frequency; Spectrum; Dispersion; Wavenumber
ID Code:99084
Deposited On:03 Sep 2015 04:16
Last Modified:03 Sep 2015 04:16

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