The present study deals with the buckling and postbuckling performances of functionally graded graphene platelets reinforced composite (FG-GPLRC) plate under external electric field. The elastic and dielectric properties of GPLRC are evaluated by effective medium theory (EMT) while the Poisson's ratio is calculated by rule of mixture. The GPL distribution throughout the thickness of the structure is described by an average volume fraction and a slope factor describing functionally graded distribution. The equations governing the buckling behaviors of FG-GPLRC plate are derived on the basis of principle of virtual work and Mindlin-Reissner plate theory using von Kármán strains. Differential quadrature method (DQM) is then used to discretize the equations and direct iteration method is used to numerically solve the discrete differential equations. The results advise that the stability of FG-GPLRC plate is correlated to several factors, including the average volume fraction of GPLs, functionally graded distribution, slope factor and the parameters of the electric field. The stability of the FG-GPLRC plates could be artificially varied via adjusting parameters of external electric field. The current research is envisaged to offer supportive information to the design of smart GPLRC structures.

本研究涉及功能梯度石墨烯薄片增强复合材料 (FG-GPLRC) 板在外部电场下的屈曲和后屈曲性能。GPLRC 的弹性和介电性能通过有效介质理论 (EMT) 进行评估，而泊松比则通过混合规则计算。整个结构厚度的 GPL 分布由平均体积分数和描述功能梯度分布的斜率因子描述。控制 FG-GPLRC 板屈曲行为的方程是基于虚功原理和 Mindlin-Reissner 板理论，使用 von Kármán 应变推导出来的。然后使用微分正交法 (DQM) 对方程进行离散化，并使用直接迭代法对离散微分方程进行数值求解。结果表明，FG-GPLRC 板的稳定性与几个因素相关，包括 GPL 的平均体积分数、功能梯度分布、斜率因子和电场参数。FG-GPLRC 板的稳定性可以通过调整外部电场参数来人为地改变。目前的研究旨在为智能 GPLRC 结构的设计提供支持信息。FG-GPLRC 板的稳定性可以通过调整外部电场参数来人为地改变。目前的研究旨在为智能 GPLRC 结构的设计提供支持信息。FG-GPLRC 板的稳定性可以通过调整外部电场参数来人为地改变。目前的研究旨在为智能 GPLRC 结构的设计提供支持信息。