# Core-tube morphology of multiwall carbon nanotubes

## TL;DR

This paper models the cross-sectional shapes of multiwalled carbon nanotubes under pressure, revealing how surrounding elastic media influence buckling and shape deformation, with implications for nanotube stability.

## Contribution

It introduces a two-dimensional elastic buckling model for MWNTs considering surrounding media, highlighting the impact on cross-sectional morphology.

## Key findings

- Inner tubes maintain circular or oval shapes without elastic media.
- Embedded elastic media induce corrugation modes in inner tubes.
- Shape changes depend on the number of shells in MWNTs.

## Abstract

The present paper investigates the cross-sectional morphology of Multiwalled Carbon Nanotubes (MWNTs) restrained radially and circumferentially by an infinite surrounding elastic medium, subjected to uniform external hydrostatic pressure. In this study, a two-dimensional plane strain model is developed, assuming no variation of load and deformation along the tube axis. We find some characteristic cross-sectional shapes from the elastic buckling analysis. The effect of the surrounded elastic medium on the cross-sectional shape which occurs due to pressure buckling is focused on by the comparison with the shape for no elastic medium case in our discussion. It is suggested that in no embedded elastic medium cases, the cross-sectional shapes of inner tubes maintain circle or oval; on the other hand, an embedded medium may cause inner tube corrugation modes especially when the number of shells for MWNTs is small.