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

摘要

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 non-local parameter.