In order to clarify the edge and interface effect on the adhesion energy between graphene (Gr) and its substrate, a theoretical model is proposed to study the interaction and strain distribution of Gr/Si system in terms of continuum medium mechanics and nanothermodynamics. We find that the interface separation and adhesion energy are determined by the thickness of Gr and substrate. The disturbed interaction and redistributed strain in the Gr/Si system induced by the effect of surface and interface can make the interface adhesion energy decrease with increasing thickness of Gr and diminishing thickness of Si. Moreover, our results show that the smaller area of Gr is more likely to adhere to the substrate since the edge effect improves the active energy and strain energy. Our predictions can be expected to be a guide for designing high performance of Gr-based electronic devices.

为了阐明边缘和界面对石墨烯（Gr）与其衬底之间的粘附能的影响，提出了一个理论模型，从连续介质力学和纳米热力学的角度研究Gr / Si体系的相互作用和应变分布。我们发现界面分离和粘附能由Gr和基底的厚度决定。表面和界面效应在Gr / Si体系中产生的扰动相互作用和重分布应变可以使界面附着能随着Gr厚度的增加和Si厚度的减小而减小。而且，我们的结果表明，由于边缘效应改善了有功能量和应变能，因此较小面积的Gr更有可能粘附在基板上。