Numerical phase-field vibration analysis of cracked functionally graded GPL-RC plates

The main objective of this study is the phase-field (PF) vibration analysis of cracked functionally graded graphene platelets-reinforced composite (FG GPL-RC) plates considering stationary cracks. Mindlin's plate model and phase-field approach are used to express the governing equations. The plate is numerically modeled using the variational finite difference (FD) method. Various convergence studies are provided to show the performance of the introduced numerical model. Different cracked patterns are regarded to investigate the linear vibration of cracked nanocomposite plates. The numerical results clearly demonstrate that the phase-field model can be effectively employed to simulate the vibration behavior of cracked nanocomposite plates.