**2.13 Elastic and fracture characteristics of graphene – silicon nanosheet composites**

Graphene and its composites find application in various fields of aerospace, bioelectric sensors, bio engineering, electronics, energy technology, and lithium batteries due to appreciable electrical, mechanical and thermal properties. The single layer graphene sheets (SLG) needs an appropriate substrate which should not alter the properties of graphene. In this research, an efficient method was developed for evaluating nonlinear stress strain behavior and fracture strength of graphene – silicon nanosheet composites. Nonlinear finite element model [15] had been evolved to obtain constitutive model of the problem which are computed using molecular dynamics (MD) simulations. Graphene is modeled as multilinear elastic and silicon is simulated as isotropic material. Using this model nonlinear behavior of graphene, silicon and their stress strain curve including inflection point leading to failure had been arrived. The results of stress strain curves and elastic modulus and the critical stress of single layer graphene (SLG), silicon nanosheet and their composites with different thickness of silicon nanosheet agrees with that of the molecular dynamics [15].
