Low-velocity impact response of axially moving functionally graded graphene platelet reinforced metal foam plates

Abstract

This paper pays attention to the low-velocity impact response of axially moving graphene platelet (GPL) reinforced metal foam plates. Pores and graphene platelets (GPLs) can be unevenly or evenly distributed along the plate thickness direction. The equivalent Young's modulus is described by the Haplin-Tsai equation while the effective mass density and Poisson's ratio are calculated by the mixture rule. Based on the Hamilton's principle, governing equations and corresponding boundary conditions are established. Afterwards, the governing equations are transformed into a set of ordinary differential equations by using the Galerkin's method. In order to simulate the contact load, the time-dependent contact force between an axially moving GPL reinforced metal foam (GPLRMF) plate and an impactor is obtained by applying the single spring-mass model. The linearized contact law is introduced to acquire the contact force. The transverse central displacements of the plate are calculated by adopting the Duhamel integration. Results show that the foam distributions, the GPL patterns, the GPL weight fraction, the foam coefficient, the plate speed, the impactor mass and the impact velocity play important role on the impact response of axially moving GPLRMF plates.