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Buckling Analysis of Carbon Nanotubes – a molecular mechanics approach using the finite element framework
Author(s) -
Hollerer Stefan
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110102
Subject(s) - buckling , carbon nanotube , finite element method , bifurcation , eigenvalues and eigenvectors , nonlinear system , continuum mechanics , materials science , molecular dynamics , deformation (meteorology) , interatomic potential , mechanics , structural engineering , physics , composite material , computational chemistry , chemistry , engineering , quantum mechanics
In this work, a molecular mechanics model embedded in the finite element framework is applied to analyze the buckling behaviour of carbon nanotubes. Within this model a specific finite element is set up for the underlaying interatomic potential describing the behaviour of the multi particle system. The model relies on the fully nonlinear description of the interatomic potential and the atomic kinematics. Stability points of the system are located by an accompanying eigenvalue analysis and the bifurcation point is detected using a bisection algorithm. To follow the nonlinear load‐deformation path in the area of postbuckling a branch switch is performed. With the help of this molecular mechanics model, the response of carbon nanotubes on different loading conditions with respect to buckling is studied. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)