Explicit analytical expressions for the critical buckling stresses in a monolayer graphene sheet based on nonlocal elasticity

2012 ◽  
Vol 152 (2) ◽  
pp. 56-59 ◽  
Author(s):  
R. Ansari ◽  
H. Rouhi
Keyword(s):  
Graphene Sheet ◽  
Nonlocal Elasticity ◽  
Monolayer Graphene ◽  
Analytical Expressions

scholarly journals О декорировании зигзагообразной кромки эпитаксиального графена

2019 ◽  
Vol 61 (1) ◽  
pp. 186
Author(s):  
С.Ю. Давыдов
Keyword(s):  
Electronic Structure ◽  
Graphene Sheet ◽  
Cluster Model ◽  
Dipole Interaction ◽  
Metal Substrate ◽  
Zigzag Edge ◽  
Occupation Numbers ◽  
Local Densities ◽  
Analytical Expressions

AbstractTwo approaches are proposed to the problem of the coupling of adsorbed particles with atoms of a zigzag edge of graphene formed on a metal substrate. The first approach is based on the Kalkstein and Soven scheme, which makes it possible to determine the electronic structure of a semi-infinite graphene sheet. The second approach is based on a cluster model of a zigzag edge. Analytical expressions are obtained for the local densities of the system’s states and the occupation numbers of a carbon adatom and an adparticle. The case of an isolated adparticle is considered in detail, and a method of taking into account the dipole–dipole interaction of particles aligned along the edge is proposed.

scholarly journals Simulated Nanoscale Peeling Process of Monolayer Graphene Sheet: Effect of Edge Structure and Lifting Position

2010 ◽  
Vol 2010 ◽  
pp. 1-12 ◽  
Author(s):  
Naruo Sasaki ◽  
Hideaki Okamoto ◽  
Shingen Masuda ◽  
Kouji Miura ◽  
Noriaki Itamura
Keyword(s):  
Graphene Sheet ◽  
Atomic Scale ◽  
Monolayer Graphene ◽  
Lattice Period ◽  
Force Curve ◽  
Stick Slip ◽  
Edge Structure ◽  
Sliding Motion ◽  
Peeling Process ◽  
Surface Contact

The nanoscale peeling of the graphene sheet on the graphite surface is numerically studied by molecular mechanics simulation. For center-lifting case, the successive partial peelings of the graphene around the lifting center appear as discrete jumps in the force curve, which induce the arched deformation of the graphene sheet. For edge-lifting case, marked atomic-scale friction of the graphene sheet during the nanoscale peeling process is found. During the surface contact, the graphene sheet takes the atomic-scale sliding motion. The period of the peeling force curve during the surface contact decreases to the lattice period of the graphite. During the line contact, the graphene sheet also takes the stick-slip sliding motion. These findings indicate the possibility of not only the direct observation of the atomic-scale friction of the graphene sheet at the tip/surface interface but also the identification of the lattice orientation and the edge structure of the graphene sheet.

scholarly journals Strong Coupling of Surface Plasmon Polaritons in Monolayer Graphene Sheet Arrays

2012 ◽  
Vol 109 (7) ◽  
Author(s):  
Bing Wang ◽  
Xiang Zhang ◽  
Francisco J. García-Vidal ◽  
Xiaocong Yuan ◽  
Jinghua Teng
Keyword(s):  
Graphene Sheet ◽  
Strong Coupling ◽  
Surface Plasmon ◽  
Surface Plasmon Polaritons ◽  
Monolayer Graphene ◽  
Plasmon Polaritons

scholarly journals Inelastic scattering in a monolayer graphene sheet: A weak-localization study

2008 ◽  
Vol 78 (12) ◽  
Author(s):  
Dong-Keun Ki ◽  
Dongchan Jeong ◽  
Jae-Hyun Choi ◽  
Hu-Jong Lee ◽  
Kee-Su Park
Keyword(s):  
Inelastic Scattering ◽  
Graphene Sheet ◽  
Weak Localization ◽  
Monolayer Graphene ◽  
Localization Study

Cylindrical Bending Vibration of Multiple Graphene Sheet Systems Embedded in an Elastic Medium

2019 ◽  
Vol 19 (04) ◽  
pp. 1950035
Author(s):  
Chih-Ping Wu ◽  
Yen-Jung Chen
Keyword(s):  
Elastic Medium ◽  
Elasticity Theory ◽  
Plane Strain ◽  
Graphene Sheet ◽  
Nonlocal Elasticity ◽  
Nonlocal Elasticity Theory ◽  
Mode Shapes ◽  
Cylindrical Bending ◽  
Bending Vibration ◽  
Motion Equations

Based on the Eringen nonlocal elasticity theory and multiple time scale method, an asymptotic nonlocal elasticity theory is developed for cylindrical bending vibration analysis of simply-supported, [Formula: see text]-layered, and uniformly or nonuniformly-spaced, graphene sheet (GS) systems embedded in an elastic medium. Both the interactions between the top and bottom GSs and their surrounding medium and the interactions between each pair of adjacent GSs are modeled as one-parameter Winkler models with different stiffness coefficients. In the formulation, the small length scale effect is introduced to the nonlocal constitutive equations by using a nonlocal parameter. The nondimensionalization, asymptotic expansion, and successive integration mathematical processes are performed for a typical GS. After assembling the motion equations for each individual GS to form those of the multiple GS system, recurrent sets of motion equations can be obtained for various order problems. Nonlocal multiple classical plate theory (CPT) is derived as a first-order approximation of the current nonlocal plane strain problem, and the motion equations for higher-order problems retain the same differential operators as those of nonlocal multiple CPT, although with different nonhomogeneous terms. Some nonlocal plane strain solutions for the natural frequency parameters of the multiple GS system with and without being embedded in the elastic medium and their corresponding mode shapes are presented to demonstrate the performance of the asymptotic nonlocal elasticity theory.

scholarly journals Temperature-dependent negative Poisson’s ratio of monolayer graphene: Prediction from molecular dynamics simulations

2019 ◽  
Vol 8 (1) ◽  
pp. 415-421 ◽  
Author(s):  
Yin Fan ◽  
Yang Xiang ◽  
Hui-Shen Shen
Keyword(s):  
Molecular Dynamics ◽  
Graphene Sheet ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Monolayer Graphene ◽  
Pristine Graphene ◽  
Negative Poisson’S Ratio ◽  
Temperature Dependent ◽  
Free Standing ◽  
Negative Poisson's Ratio

Abstract A temperature-dependent intrinsic property of monolayer graphene, the negative Poisson’s ratio (NPR), is investigated in the present study. The classical molecular dynamics (MD) method is employed and the Erhart-Albe hybrid potential, i.e. the combination of the reactive empirical bond order (REBO) and the Tersoff potentials, is used for the graphene sheet in the numerical simulation. In the simulation process, the graphene sheet is assumed to be free standing with in-plane periodical boundary condition and under an ambient temperature up to 1000 K. Our study shows that the graphene NPR is decreased with the increase of temperature. Besides, we also perform the simulation of the graphene negative temperature expansion coefficient (NTEC) as an indirect validation of the present MD model. The characteristics of the nonlinear variations for both the NPR and the NTEC of a pristine graphene sheet are investigated. Our MD results at low temperature (0.1 K) further prove the intrinsic and anisotropic property of NPR for graphene.

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