Abstract 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 chair and zigzag graphene sheets are analyzed. The stability and bending modes of natural vibrations of zigzag and chair nanotubes are analyzed.

中文翻译：

---

石墨烯片和碳纳米管的机械性能、稳定性和屈曲（综述）

摘要 综述了致力于研究石墨烯和碳纳米管的机械性能、稳定性和屈曲的工作。这些结果大部分是通过分子动力学和分子力学获得的，这使得有效研究纳米结构的力学性能和稳定性成为可能。提供了有关石墨烯强度的数据，并分析了椅子和锯齿形石墨烯片的弯曲模式。分析了锯齿形和椅形纳米管固有振动的稳定性和弯曲模式。