Faculty of Textile Science and Technology, Shinshu University, 3-15-1 Tokida, Ueda-shi, 386-8567, Japan.
J Phys Condens Matter. 2012 Apr 4;24(13):135004. doi: 10.1088/0953-8984/24/13/135004. Epub 2012 Feb 28.
In this paper, we study the buckling properties of circular double-layered graphene sheets (DLGSs), using plate theory. The two graphene layers are modeled as two individual sheets whose interactions are determined by the Lennard-Jones potential of the carbon-carbon bond. An analytical solution of coupled governing equations is proposed for predicting the buckling properties of circular DLGSs. Using the present theoretical approach, the influences of boundary conditions, plate sizes, and buckling-mode shapes on the buckling behaviors are investigated in detail. The buckling stability is significantly affected by the buckling-mode shapes. As a result of van der Waals interactions, the buckling stress of circular DLGSs is much larger for the anti-phase mode than for the in-phase mode.
在本文中，我们使用板理论研究了圆形双层石墨烯片（DLGS）的屈曲特性。两层石墨烯被建模为两个独立的薄片，它们的相互作用由碳-碳键的 Lennard-Jones 势能决定。提出了一个耦合控制方程的解析解，用于预测圆形 DLGS 的屈曲特性。利用本理论方法，详细研究了边界条件、板尺寸和屈曲模态形状对屈曲行为的影响。屈曲稳定性受屈曲模态形状的显著影响。由于范德华相互作用，圆形 DLGS 的反相模态的屈曲应力比同相模态的大得多。
