Wave propagation in graphene platelet-reinforced metal foam double-layer plates

Compared with conventional single-plate structures, double-layer plate configurations have gained widespread engineering applications owing to their enhanced compressive performance and vibration damping capabilities. Building upon Reddy's higher-order plate theory, this study develops an innovative spring-coupled bilayer model to examine wave propagation phenomena in graphene platelet-reinforced metal foam (GPLRMF) composite plates. Three distinct kinematic modes are investigated: in-phase, anti-phase (out-of-phase), and single-plate-fixed boundary conditions. The research framework comprises three key aspects: First, a refined displacement field formulation is established using higher-order shear deformation theory (HSDT). Second, the governing wave equation is derived through the Lagrangian variational principle. Finally, comprehensive parametric studies are conducted to evaluate the influences of material characteristics (GPL distribution patterns, porosity types), geometric parameters, thermal effects, and interfacial spring stiffness on wave propagation characteristics. The findings demonstrate that the GPL-C distribution pattern combined with Type-I porosity achieves superior wave propagation performance compared to other configurations. This work provides theoretical insights for designing tunable wave manipulation devices in advanced composite structures.