ABSTRACT
Molecular Structural Mechanics (MSM) method is developed, applying beam elements to model bonded interactions between carbon atoms in atomic lattices of Single-Layer Graphene Sheets (SLGSs). A method is developed for the accurate adjustment of the geometric and material parameters of Bernoulli–Euler beam elements to reproduce reference mechanical moduli (2D Young’s modulus, Poisson’s ratio, and bending rigidity modulus) of graphene. The MSM method with advanced geometric and material parameter set of Bernoulli–Euler beam elements is implemented by means of the commercial MSC.Marc FE code. Computer simulations show that the free vibration frequencies and modes of a SLGS obtained by the standard molecular mechanics and MSM methods converge.
