Wave Propagation in Periodically Supported Nanoribbons: A Nonlocal Elasticity Approach

Giuliano Allegri, Fabrizio Scarpa, R Chowdhury, Sondipon Adhikari

Research output: Contribution to journalArticle (Academic Journal)peer-review

14 Citations (Scopus)


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.
Original languageEnglish
Article number041017
Number of pages8
JournalJournal of Vibration and Acoustics
Issue number4
Publication statusPublished - 2013


  • Elasticity, Wave propagation, Waves, Engineering simulation, Finite element analysis, Boundary-value problems, Frequency, Graphene


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