Wave propagation in periodically supported nanoribbons: a nonlocal elasticity approach

Allegri, G., Scarpa, F., Chowdhury, R. and Adhikari, S. (2013) Wave propagation in periodically supported nanoribbons: a nonlocal elasticity approach. Journal of Vibration and Acoustics, 135(4), 041017. (doi: 10.1115/1.4023953)

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Abstract

We develop an analytical formulation describing propagating flexural waves in periodically simply supported nanoribbons by means of Eringen's nonlocal elasticity. The nonlocal length scale is identified via atomistic finite element (FE) models of graphene nanoribbons with Floquet's boundary conditions. The analytical model is calibrated through the atomistic finite element approach. This is done by matching the nondimensional frequencies predicted by the analytical nonlocal model and those obtained by the atomistic FE simulations. We show that a nanoribbon with periodically supported boundary conditions does exhibit artificial pass-stop band characteristics. Moreover, the nonlocal elasticity solution proposed in this paper captures the dispersive behavior of nanoribbons when an increasing number of flexural modes are considered.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Adhikari, Professor Sondipon
Authors: Allegri, G., Scarpa, F., Chowdhury, R., and Adhikari, S.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Journal of Vibration and Acoustics
Publisher:American Society of Mechanical Engineers
ISSN:1048-9002

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