Buckling Analysis of Graphene Origami Metamaterial Beam
Graphene origami metamaterial has characteristics of negative Poisson's ratio,which can effectively improve the buckling resistance of the structure,and has a wide range of application potentials in aerospace and other engineering fields.In this paper,the graphene origami metamaterial beam is taken as the research object.Based on the principle of virtual work,according to the Euler beam theory and von-Karman's nonlinear strain displacement relationship,the nonlinear governing equation of the beam's buckling behavior under the in-plane load is established.The critical load of the buckling behavior of graphene origami metamaterial beam is calculated using the asymptotic numerical method,and the correctness of the theory and the algorithm in this paper is verified by comparing with the results in the published literature.Finally,the influences of graphene origami distribution,content,folding degree and boundary conditions on the nonlinear buckling behavior of graphene origami metamaterial beam structure are analyzed.The results show that the buckling critical load of the structure is the largest under the fixed boundary condition at both ends.The buckling critical load increases with the increase of graphene and graphene content on the surface of the structure,while decreases with the increase of folding degree.
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