Influence of long-range interatomic and interlayer interactions on dispersion of acoustic waves by multilayer graphene

Abstract

In this study, effects of the long-range interatomic and interlayer interactions on the dispersion of acoustic waves by multilayer graphene are investigated. A hybrid model that accounts for the long-range interatomic and interlayer interactions is developed. In the context of this model, the interatomic interactions are modeled based on the general nonlocal theory. The general nonlocal theory effectively models the dispersions of acoustic waves where it defines two independent nonlocal fields for the longitudinal and transverse acoustic waves. Interlayer interactions are defined to model the van der Waals interaction between the graphene layers. A new approach is proposed to determine the mechanical properties and the equivalent thickness of a single-layer graphene. The Young's modulus and Poisson's ratio of a single-layer graphene is obtained by ∼345MPa and ∼0.08, respectively. The equivalent thickness of a graphene sheet is determined by ∼0.057nm. An experimental validation for the dispersions of four-layer graphene is carried out where a good assent is observed. A parametric study is then presented to demonstrate the significant influence of the long-rang interatomic and interlayer interactions on the dispersion of incident acoustic waves by multilayer graphene.