Dynamic behavior of single-layer graphene sheets subjected to a moving mass by using a nonlocal elasticity model and a molecular dynamics simulation

In this article, the study of the time history of the displacement of the central point of single-layer graphene nanosheets under the passage of moving mass has been studied. In order to analyze the passage of the nanoparticle on the graphene sheet, the non-local theory of elasticity was used and finally the governing equations were extracted by the special function expansion method. Also, by using molecular dynamics simulation, the time history of the displacement of the central point of single-layer graphene sheets under different boundary conditions and the passage of metal nanoparticles with different geometries (such as square cubes, spheres and blades) along the length and through the middle of these sheets, including There are parameters that are effective in changing the behavior of graphene, and the results of theoretical calculations have been compared with the relevant molecular dynamics simulations. In addition, the results of the molecular dynamics simulation for a single-layer graphene sheet have been compared with the results of the corresponding non-local elasticity theory, and a non-local coefficient has been proposed for the model. As a result, the comparison of the results obtained from the relevant theory and simulation will provide more confidence to validate the response of the graphene sheet.