自碳纳米管被发现以来,以其独特的结构和奇特的物理化学特征,引起世界上许多科学家的关注,文章介绍了碳纳米管近年来在建立弹性能模型的理论研究进展。从Lenosky等提出的单层弯曲石墨碳的弹性能模型过渡到适用于碳纳米管的二维连续弯曲弹性能模型,以及与此模型对应的杨氏模量、泊松比和等效壁厚;进一步退化成与Kirchhoff弹性杆理论相吻合的完整的一维包含面内形变的模型,并对由此得到的超级螺旋形及尚待解决的问题进行了讨论。 Since the discovery of carbon nanotubes, with its unique structure and peculiar physicochemical characteristics, it attracted the attention of many scientists in the world. The article introduced the research progress of carbon nanotubes in establishing elastic energy model in recent years. From the elastic energy model of monolayer bent graphitic carbon proposed by Lenosky et al., To the two-dimensional continuous bending elastic energy model suitable for carbon nanotubes and the Young’s modulus, Poisson’s ratio and equivalent wall thickness corresponding to this model; Further degenerates into a complete one-dimensional model containing in-plane deformations consistent with the Kirchhoff elastic-rod theory, and discusses the resulting super-spiral and the problems to be solved.