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Research Papers

Dramatic Effect of the Utilized Theory on Frequency Distribution Function of Carbon Nanotubes

[+] Author and Article Information
Isaac Elishakoff

Fellow ASME
Department of Ocean and
Mechanical Engineering,
Florida Atlantic University,
Boca Raton, FL 33431-0991
e-mail: elishako@fau.edu

Yannis Bekel

Ecole Centrale Paris,
Châtenay-Malabry 92290, France

Thomas Gomez

Département Génie Civil,
Ecole Polytech Clermont-Ferrand,
Université Blaise Pascal,
Aubière 63170, France

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received June 26, 2012; final manuscript received March 28, 2013; accepted manuscript posted May 6, 2013; published online September 16, 2013. Assoc. Editor: Wei-Chau Xie.

J. Appl. Mech 81(2), 021002 (Sep 16, 2013) (5 pages) Paper No: JAM-12-1263; doi: 10.1115/1.4024402 History: Received June 26, 2012; Revised March 28, 2013; Accepted May 06, 2013

In this study, we investigate the modal density of double-walled carbon nanotubes. Emphasis is placed on the effect of the utilized theory. Specifically, we compare the modal density obtained via classical Bernoulli–Euler theory with that obtained by employing the refined Bresse–Timoshenko theory with nonlocal and surface effects taken into account. We show that the effect of refinements is dramatic.

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