Multiscale meshfree method for the analysis of carbon nanotube-based materials

摘要

In this paper, we present a new multiscalc meshfree approach for the mechanical analysis of carbon nanotubes and related nanostructures. By projecting the solution from direct molecular dynamics simulation onto its coarse-scale representation, a unique bridging scale decomposition of the displacement field is proposed. To approximate the curved surface at nanoscale, meshfree approximations are introduced to interpolate a single layer of atoms. Unlike the traditional shell or continuum element, the geometric constraint is only imposed in two-dimension. The high order continuity property of the meshfree shape functions guarantees the accuracy in describing the geometry of the atomic bond. Finally, we show the robustness of the method through a number of examples involving carbon nanotube-based structures.