Bending,Buckling And Vibration Of Functionally Graded Graphene-Reinforced Porous Plates

Functionally graded graphene-reinforced material is a new type of nanocomposites,which has the characteristics of light weight,high stiffness,high strength and high temperature resistance.It is the development trend of new composite materials in the future.Therefore,studying the bending,buckling,dynamic stability and vibration characteristics of functionally graded graphene-reinforced plates in different engineering environments has important theoretical significance and engineering value for popularizing its applications in aerospace,civil construction,and traffic engineering.The present study focuses on the following aspects:(1)The modified Halpin-Tsai micromechanics model,the rule of mixture,and the typical mechanical properties of open-cell metal foams are used to determine the effective properties of the plates.Based on composite thin plate theory,the elastic mechanics model of FG-GPLs porous plates on elastic foundation is established.The central deflection of plates under transverse uniformly distributed load is calculated by using Galerkin method.The effects of dispersion patterns,weight fraction and geometric parameters of graphene nanoplatelets,porosity coefficients,porosity distributions elastic foundation parameters and boundary conditions on static bending deflection are analyzed.(2)The critical buckling loads and unstable regions of FG-GPLs porous plates on elastic foundation under axial in-plane static and dynamic loads are determined by using Galerkin method and Bolotin method.The effects of dispersion patterns and weight fraction of graphene nanoplatelets,porosity coefficients,porosity distributions,elastic foundation parameters and boundary conditions on the critical buckling load and unstable region are discussed.(3)The free vibration and dynamic response of FG-GPLs porous plates on viscoelastic foundation are studied.The effects of viscoelastic foundation parameters,porosity distributions,porosity coefficients,dispersion patterns and weight fraction of graphene nanoplatelets and boundary conditions on the natural frequencies and central transient deflections are investigated.(4)Taking the bridge deck structure and the body panel structure of high-speed train as examples,the advantages and disadvantages of FG-GPLs plate and common steel plates in bending,buckling,dynamic stability and vibration characteristics are compared,so as to provide guidance for the practical application of FG-GPLs plate.Based on the theoretical analysis results of this paper,the corresponding program package is compiled by computer language,and a large number of more accurate numerical results are calculated.The results show that the plate having less pores and more graphene nanoplatelets on the top and bottom surfaces has the greatest stiffness,so this type of plate can resist bending deformation and vibration more effectively,and has the best buckling bearing capacity and dynamic stability.The effective stiffness of the plate decreases with the increase of porosity coefficient,but increases with the increase of weight fraction of graphene nanoplatelets.The increase of the shear and compression parameters of the foundation can improve the overall stiffness of the plates,while the viscosity of the foundation can reduce the natural frequencies and dynamic deflection of the plates.The mechanical properties of FG-GPLs plate are better than those of common steel plates.Porosity distributions and dispersion patterns of graphene nanoplatelets are important factors affecting the stiffness and strength of FG-GPLs plate.The research results of this paper enrich the study of bending,buckling,dynamic stability and vibration of FG-GPLs plates,and are of great significance to the popularization and application of FG-GPLs plates in traffic engineering.