Buckling analysis and small scale effect of biaxially compressed graphene sheets using non-local elasticity theory.

In this paper, buckling analysis of biaxially compressed graphene sheets with non-local elasticity theory is reported. The equations of motion for graphene sheet are derived using non-local local elasticity theory. Levy's approach has been used to solve the governing equations for various boundary conditions of the graphene sheet. Present results from Levy's solution agree with the results for all edges simply supported available in the literature. Further, the effect of the (i) non-local parameter, (ii) size of the graphene sheet and (iii) various boundary conditions on the critical buckling loads of the graphene sheets are investigated. It is observed that non-local parameter and boundary conditions significantly influence the critical buckling loads of the small size graphene sheets. [ABSTRACT FROM AUTHOR]