Biaxial Buckling of Single Layer Graphene Sheet Based on Nonlocal Plate Model and Molecular Dynamics Simulation

Document Type: Original Article


Department of Mechanic Engineering,university of mohaghagh ardabili


The biaxial buckling behavior of single-layered graphene sheets (SLGSs) is studied in the present work. To consider the size-effects in the analysis, Eringen’s nonlocal elasticity equations are incorporated into classical plate theory (CLPT). A Generalized Differential Quadrature Method (GDQM) approach is utilized and numerical solutions for the critical buckling loads are obtained. Then, molecular dynamics (MD) simulations are performed for a series of zigzag SLGSs with different side-lengths and with various boundary conditions, the results of which are matched with those obtained by the nonlocal plate model to numerical the appropriate values of nonlocal parameter relevant to each type of boundary conditions. It was revealed that nonlocal elasticity theory can extimate the biaxial buckling response of SLGSs with great accuracy using the proposed values for the nonlocal parameter. which is comparable to the results of MD simulation. This analysis showed that the importance of the small length scale is dependent on the boundary conditions of SLGS.