Mechanical Behavior Analysis Of Bilayer Graphene Based On Elementfree Kp-Ritz Method

Carbon,as one of the basic elements of natural life organism,has been the focus of researchers.Materials composed of carbon elements are numerous,such as diamond and graphite,which are well-known.Although the same as the crystal structure of carbon,but because they are allotropes of carbon,their properties are very different.n 1985,H Kroto,J Heath and other found C,because of its structure is similar to British football,was named football ene.Driven by the study of soccer football,Sumio Iijima,a Japanese scholar,discovered carbon nanotubes in 1991,which can be thought of as curled from graphene sheets.In 2004,carbon crystals with single atomic thickness were found.Because of their excellent toughness,strength,conductivity,thermal conductivity and other properties,graphene has become the material star in twenty-first Century.In this paper,the mechanical behavior of graphene was studied based on the theory of non－local elasticity and the method of element-free particles.The main work is as follows:1.the buckling behavior of bilayer graphene with medium is studied;2.the buckling behavior of bilayer graphene under thermal environment is studied;3.the vibration of bilayer graphene under thermal environment is studied;the specific work is summarized as follows:(1)the buckling behavior of bilayer graphene based on Pasternak elastic medium under biaxial compression was studied.The critical buckling load of bilayer graphene under biaxial compression was calculated.The effects of boundary condition,aspect ratio,graphene size,nonlocal parameter and elastic medium parameters on the buckling behavior of bilayer graphene are also analyzed.(2)The thermal buckling behavior of bilayer graphene based on Pasternak type elastic medium under thermal environment was investigated.The critical buckling temperature of bilayer graphene under various conditions was calculated.The effects of boundary conditions,nonlocal parameters and aspect ratio on the buckling behavior are also analyzed.(3)The vibration behavior of bilayer graphene based on Pasternak type elastic medium under thermal environment was studied.The natural frequencies of each mode of the bilayer graphene under various conditions was calculated.