Mechanical properties, stability, and correction of graphene sheets and carbon nanotubes (review)

A review of works devoted to the study of the mechanical properties, stability, and buckling of graphene and carbon nanotubes is presented. Most of these results are obtained by means of molecular dynamics and molecular mechanics, which make it possible to effectively investigate the mechanical properties and stability of nanostructures. The data on the strength of graphene are presented, and bending modes for armchair and zigzag graphene sheets are analyzed. The stability and bending modes of natural vibrations of zigzag and armchair nanotubes are analyzed.