Abstract

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.

摘要

本研究的主要目的是考虑静止裂纹的破裂功能梯度石墨烯薄片增强复合材料 (FG GPL-RC) 板的相场 (PF) 振动分析。Mindlin 的板模型和相场方法用于表达控制方程。使用变分有限差分 (FD) 方法对板进行数值建模。提供了各种收敛性研究来显示引入的数值模型的性能。不同的裂纹模式被用来研究裂纹纳米复合板的线性振动。数值结果清楚地表明，相场模型可以有效地用于模拟破裂纳米复合材料板的振动行为。