Spectral finite element formulation for nanorods via nonlocal continuum mechanics

Narendar, S. ; Gopalakrishnan, S. (2011) Spectral finite element formulation for nanorods via nonlocal continuum mechanics Journal of Applied Mechanics, 78 (6). Article ID 061018-9 pages. ISSN 0021-8936

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Official URL: http://appliedmechanics.asmedigitalcollection.asme...

Related URL: http://dx.doi.org/10.1115/1.4003909

Abstract

In this article, the Eringen’s nonlocal elasticity theory has been incorporated into classical/local Bernoulli-Euler rod model to capture unique properties of the nanorods under the umbrella of continuum mechanics theory. The spectral finite element (SFE) formulation of nanorods is performed. SFE formulation is carried out and the exact shape functions (frequency dependent) and dynamic stiffness matrix are obtained as function of nonlocal scale parameter. It has been found that the small scale affects the exact shape functions and the elements of the dynamic stiffness matrix. The results presented in this paper can provide useful guidance for the study and design of the next generation of nanodevices that make use of the wave dispersion properties of carbon nanotubes.

Item Type:Article
Source:Copyright of this article belongs to American Society of Mechanical Engineers.
ID Code:102029
Deposited On:09 Mar 2018 10:36
Last Modified:09 Mar 2018 10:36

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