We investigated  single walled Carbon Nanotube under an axially directed compressive line loading applied at both of its edges. The expected buckling behavior was studied by means  of a molecular computation approach [1-2]. We formulated a global potential and searched for its minimum to obtain the equilibrium configuration. Beside  the main parameter,  viz.  the value of the load, we were looking for  a   second parameter - the diameter of the tube.  We were able to define the critical value of the diameter, for which the coincident case of local shell buckling was determined.

[1] D.W. Brenner, Empirical potential for hydrocarbons for use in simulating the chemical vapor deposition of diamond films, Phys. Rev. B 42, 9458–9471 (1990).

[2] A. Proykova and H. Iliev, Simulated Stress and Stretch of SWCNT, in Proceedings of SIMS 2004 Copenhagen, Denmark, September 23–24, 2004, Editors: B. Elmegaard, J. Sporring, K. Erleben, K. Sorensen. Technical University of Denmark, Lyngby 2004.

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