Abstract
Carbon nanotube (CNT) is a new generation of nanoscale material. This chapter presents a new multiscale 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 in2D . The high order continuity property of the meshfree shape functions guarantees the accuracy in describing the geometry of the atomic bond. The chapter highlights the robustness of the method through a number of examples involving carbon nanotube-based structures.
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