An atomistic based non linear analysis of single walled carbon nanotubes is proposed, as a first step for building nanoscopically informed macroscopic continuum models capable of accurately representing the system's energy associated to the atoms relative position, as well as its microscopic geometric characteristics. The arch-length method is used to solve the equilibrium equations in terms of the displacements of each Carbon atom which is seen as a material point.
Aminpour, H., Genoese, A., Genoese, A., Rizzi, N.L., Salerno, G. (2015). A discrete numerical model for single walled carbon nanotubes. In Atti del XXII Congresso dell'Associazione Italiana di Meccanica Teorica ed Applicata.