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A continuum model of a multilayer nanosheet
Authors:N F Morozov  P E Tovstik  T P Tovstik
Institution:1.St. Petersburg State University,St. Petersburg,Russia;2.Institute for Problems in Mechanical Engineering,Russian Academy of Sciences,St. Petersburg,Russia
Abstract:A continuum model for describing the bending and free vibrations of a crystalline graphite sheet consisting of graphene layers is proposed. Graphene is modeled by a two-dimensional layer having a finite rigidity under extension and bending. The interval between graphene layers through which their Van-der-Waals interaction occurs is modeled by a fictitious layer with relatively low rigidity. In the solution, formulas describing the bending of a multilayer sheet with alternating rigid and soft layers are used.
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