Low-velocity impact analysis of functionally graded porous circular plate reinforced with graphene platelets

In this study, the low-velocity impact analysis of functionally graded (FG) porous circular plate reinforced with graphene platelets based on the first-order shear deformation theory is presented for the first time. The governing equations are derived using Hamilton's principle. A modified Hertzian contact law is used to model the contact force between the annular plate and the impactor. FEM approach in conjunction with the Picard method is employed to solve the governing equations of the plate under low-velocity impact. The results of the present study are compared with previous studies, and a good agreement can be seen between the results. The effects of different parameters such as porosity distribution and porosity coefficients, various GPL patterns and the weight fractions of Nano-filler on the contact force and transverse displacement of the circular plate are investigated. The results show that the effect of porosity distribution on the time history of contact force and transient central deflection of the structure is more than other parameters.