The Vibration And Thermal Buckling Of Functionally Graded Graphene Reinforced Composite Laminates

Graphene is a kind of excellent two-dimensional nanomaterial with excellent mechanical properties.It is widely used as a filler for nanofunctional gradient materials.Functionally graded graphene reinforced composites(FG-GRC)have shown excellent performance in the fields of energy storage,liquid crystal devices,electronic devices,biomaterials,sensing materials and catalyst carriers,and have extremely broad application prospects.In this paper,the vibration characteristic and thermal buckling of FG-GRC laminate were investigated by the meshless kp-Ritz method.Based on the first-order shear deformation theory and Hamilton principle,the discrete governing equations were obtained by the meshless method.The main contents are as follows:(1)The vibration characteristic of FG-GRC laminate was studied.The natural frequencies of laminated plates were calculated by Matlab programming.The effects of graphene volume fraction,boundary conditions,temperature,distribution of graphene and width-to-thickness ratio on natural frequencies of laminated plates were investigated.(2)The thermal buckling equation of an orthotropic plate was derived,and then studied the thermal buckling of the rod structure and the simply supported laminated plate by the analytical method.(3)Considering that the mechanical properties of graphene and substrate are related to temperature,this paper proposed two kinds of iterative paths to calculate the thermal buckling temperature of FG-GRC laminates,which is simple and effective.There are two ways of temperature change,which are uniform variation and gradient variation along the plate thickness.At last,Matlab software programing was used to calculate the buckling temperature.The effects of the initial temperature,graphene distribution,width-to-thickness ratio,and aspect ratio on the thermal buckling behavior of the laminated plate were investigated.