Research On Mechanical Behavior Of Graphene Reinforced Composite Material Plates

Composite with graphene and its derivatives as reinforcement have attracted extensive attention.Graphene as a reinforcement material has excellent reinforcement properties.Adding a few GPLs composed of several layers of graphene nanoplatelet to the pure matrix can significantly improve the mechanical properties of the composite.In this paper,graphene reinforced composite plates are taken as the research object,and a graphene distribution pattern to a sandwich-like structure is proposed and compared with the enhancement effect of the functionally graded graphene distribution pattern.Based on the first-order shear deformation theory and the classical laminate theory,the mechanical behaviors of graphene reinforced composite plates with different GPLs distribution patterns was studied.The modified Halpin-Tsai model and the mixing criterion are used to estimate the equivalent Young's modulus,density and Poisson's ratio of the composite plates,and the motion control equation of the graphene reinforced composite plates is established on the basis of the Hamiltonian principle.According to the different distribution patterns of GPLs,it can be divided into two types: functionally graded graphene reinforced composite plates and sandwich-like graphene reinforced composite plates:(1)The nonlinear dynamic behavior of the functionally graded graphene reinforced composite plates under transverse loading was studied.Using the Galerkin method to discretize the nonlinear motion control equations of the graphene-reinforced composite plates,the second-order ordinary differential equations are obtained,and use fourth-order Runge-Kutta method and multi-scale method to solve the calculation,and get the sweep response,the impact response and the force amplitude response of the functionally graded graphene reinforced composite plates under different parameters,and the trends of its variation with different parameters was analyzed.(2)The free vibration behavior of sandwich-like graphene reinforced composite plates was studied.Based on the classic laminate theory,the motion control equations of the composite plates was discretized by the Galerkin method,and the natural frequencies of the composite plates under quadrilateral simply supported and quadrilateral fixed boundary conditions was calculated.The effects of the number of layers and the weight fraction of graphene on its natural frequency.At the same time,the effects of different matrix materials on the natural frequency of the sandwich-like distribution graphene reinforced composite plates was studied,and the ratio of the natural frequency to the matrix density with different parameters was analyzed.(3)The nonlinear mechanical behavior of sandwich-like graphene reinforced composite plates was studied.The Galerkin method was used to discretize the motion control partial differential equation of the graphene reinforced composite plates into a second-order ordinary differential equation,and then the fourth-order Runge-Kutta method was used to solve it to calculate the composite plates.The dimensionless natural frequency,static bending behavior and sweep response of the sandwich-like graphene reinforced composite plates and the functionally graded graphene reinforced composite plates was compared.In addition,using the Navier method,the in-plane normal stress and interlaminar shear stress of the graphene reinforced composite plates was numerically calculated.