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    Mechanical properties of graphene cantilever from atomic force microscopy and density functional theory

    , Article Nanotechnology ; Volume 21, Issue 18, Article number 185503 , 2010 ; 09574484 Rasuli, R. (Reza) ; Iraji Zad, A. (Azam) ; Ahadian, M. M ; Sharif University of Technology
    Abstract
    We have studied the mechanical properties of a few-layer graphene cantilever (FLGC) using atomic force microscopy (AFM). The mechanical properties of the suspended FLGC over an open hole have been derived from the AFM data. Force displacement curves using the Derjaguin–Müller–Toporov (DMT) and the massless cantilever beam models yield a Young modulus of Ec ~ 37, Ea ~ 0.7 TPa and a Hamakar constant of ~ 3 × 10 − 18 J. The threshold force to shear the FLGC was determined from a breaking force and modeling. In addition, we studied a graphene nanoribbon (GNR), which is a system similar to the FLGC; using density functional theory (DFT). The in-plane Young's modulus for the GNRs were calculated... 

    Mechanical properties of graphene cantilever from atomic force microscopy and density functional theory

    , Article Nanotechnology ; Volume 21, Issue 18 , 2010 ; 09574484 (ISSN) Rasuli, R ; Iraji Zad, A ; Ahadian, M. M ; Sharif University of Technology
    2010
    Abstract
    We have studied the mechanical properties of a few-layer graphene cantilever (FLGC) using atomic force microscopy (AFM). The mechanical properties of the suspended FLGC over an open hole have been derived from the AFM data. Force displacement curves using the Derjaguin-Müller-Toporov (DMT) and the massless cantilever beam models yield a Young modulus of Ec ∼ 37, Ea ∼ 0.7TPa and a Hamakar constant of ∼ 3 × 10 -18J. The threshold force to shear the FLGC was determined from a breaking force and modeling. In addition, we studied a graphene nanoribbon (GNR), which is a system similar to the FLGC; using density functional theory (DFT). The in-plane Young's modulus for the GNRs were calculated from...