Isogeometric dynamic instability analysis of FG graphene nanoplatelets reinforced plates with holes
摘要
In this work, the isogeometric analysis (IGA) is employed to study the dynamic instability characteristics of functionally graded (FG) multilayer graphene-reinforced composite plate with holes. The laminated nanocomposite plate is subjected to a periodic uniaxial in-plane load. The modified Halpin–Tsai scheme and rule of mixtures are utilized to evaluate the effective material properties of the nanocomposite plate. The third-order shear deformation theory (TSDT) of Reddy is used to describe the displacement field of the plate. Dynamic instability regions of graphene platelets reinforced composite (GPLRC) laminated plates with hole are approximated by applying the IGA and the Bolotin’s method. To demonstrate the capability of the developed formulation in predicting the dynamic instability behavior of GPLRC plates with central holes, several numerical examples are solved and compared with the existing solutions. Then, parametric studies are performed to examine the influences of significant parameters on instability zones of the functionally graded graphene platelet reinforced composite (FG-GPLRC) plates with circular/rectangular holes.