Unduloid-Like Equilibrium Shapes of Single-Wall Carbon Nanotubes Under Pressure

Abstract

In this work, a continuum model is used to determine in analytic form a class of unduloid-like equilibrium shapes of single-wall carbon nanotubes subjected to uniform hydrostatic pressure. The parametric equations of the profile curves of the foregoing shapes are presented in explicit form by means of elliptic functions and integrals.