“…Graphene sheets, the two-dimensional carbon nanostructure, amazingly exhibit the electrical, mechanical, thermal and optical properties (Jomehzadeh et al, 2015) that have been considered as a promising material for a wide range of applications (Lebedeva et al, 2012) such as composites, chemical sensors, ultra capacitors, transparent electrodes, photovoltaic cells, bio-devices (Zandiatashbar et al, 2014) and the gigahertz oscillator suggested based on the telescopic oscillation of graphene layers (Lebedeva et al, 2012). It is of great importance to simulate mechanical behavior of single/muti-layered graphene sheets accurately due to this wide scope of applications.…”