Paper Title
Verification Of The Accuracy Of Analytical Models Of Hydrostatically Pressurized Buckling Of Single- And Multi-Walled Carbon Nanotubes

Abstract
This study focuses on the analysis of cross-sectional deformations of single- and multi-walled carbon nanotubes through molecular dynamics (MD) simulations. Shell theory is valid only within the linear elastic region, and cannot be considered to deal with large deformation behaviours beyond elastic approximation. Against this backdrop, we performed molecular dynamics simulations to explore buckling behaviour of carbon nanotubes under high pressure. We confirmed various large-amplitude deformation modes, in which the stable mode is strongly dependent on the diameter of the innermost tube and the number of concentric walls. In corrugation patterns, the cylindrical symmetry of the innermost tube is maintained even under high external pressure, while cylindrical symmetry is lost as deformation progresses. In addition, we quantitatively compared the critical pressure from MD simulations and continuum elastic approximation. Keywords- Carbon Nanotube, Molecular Dynamics Simulation, Thin Shell Theory Analysis, Cross-Sectional Buckling, Radial Corrugation.