Abstract

Nowadays, graphene is considered as one of the most ideal reinforcements for composite materials due to the outstanding mechanical properties. From the literature survey, it is found that the researches on interlaminar stress analysis of functionally graded graphene reinforced composite (FG-GRC) laminated structures are scarce in literature. If transverse shear deformations are unable to be described accurately, the reasonable design of FG-GRC laminated structures will meet severe challenges due to the differentiation of material properties at the adjacent layers. Thereby, such issue is less studied by using the efficient models, so an advanced mixed-form plate theory is to be proposed for transverse shear stress analysis of FG-GRC laminated plates. The proposed theory can meet beforehand compatible conditions of transverse shear stresses at the interfaces of adjacent laminates and only contains seven independent displacement variables. By applying the three- dimensional (3D) equilibrium equations and the Reissner mixed variational theorem (RMVT), the accurate transverse shear stresses are obtained. The 3D elasticity solutions and the results computed by using the chosen models are selected to appraise the capability of the proposed model. Numerical results show that the proposed plate model can yield accurately transverse shear stresses without any post-processing procedure. In addition, the effects of graphene volume fraction, graphene distribution pattern, lamination sequence, span-to-thickness ratio and aspect ratio on the displacements and stresses of the FG-GRC laminated plates are thoroughly investigated.

摘要

如今，石墨烯因其优异的力学性能被认为是复合材料最理想的增强材料之一。从文献调查中发现，功能梯度石墨烯增强复合材料（FG-GRC）叠层结构的层间应力分析研究在文献中很少见。如果横向剪切变形无法准确描述，FG-GRC层合结构的合理设计将面临相邻层材料特性差异的严峻挑战。因此，利用有效模型对该问题的研究较少，因此将提出一种先进的混合形式板理论用于FG-GRC层压板的横向剪应力分析。所提出的理论可以预先满足相邻层合板界面处横向剪应力的相容条件，并且仅包含七个独立的位移变量。通过应用三维 (3D) 平衡方程和 Reissner 混合变分定理 (RMVT)，可以获得准确的横向剪切应力。选择 3D 弹性解和使用所选模型计算的结果来评估所提出模型的能力。数值结果表明，所提出的板模型无需任何后处理程序即可产生准确的横向剪应力。此外，石墨烯体积分数、石墨烯分布模式、层压顺序、