An elastica model that predicts radial corrugations in a double- walled carbon nanotube

作者：Bagwell Ross; Leta James; Golovaty Dmitry; Wilber J Patrick^*

来源：European Journal of Mechanics - A: Solids , 2015, 54: 74-83.

DOI：10.1016/j.euromechsol.2015.05.014

• Elastic ring
• Radial load
• Carbon nanotube

In this paper we study a variation on the classical problem of a ring subject to a uniform radial load. An initially circular elastic ring, modeled as an elastica, is concentric with a second circular ring, which is rigid and is either outside or inside the elastic ring. On each point of the elastic ring, the rigid ring exerts a nonuniform radial load that depends on the distance between the point and the rigid ring. The two rings can be viewed as a continuum description of the cross-section of a double-walled carbon nanotube. The force between the elastic ring and the rigid ring is a continuum approximation to the van der Waals interaction between atoms on the two walls of the double-walled tube. We use this model to study the buckling of the elastic ring as the radius of the rigid ring is varied. Our model predicts radial corrugations, a type of deformation studied recently in (Shima and Sato, 2008, 2009; Shima et al., 2010).

• 出版日期2015-12