Effect of van der Waals forces on axial buckling of a double-walled carbonnanotube

An elastic model is presented to study infinitesimal buckling of a double-w alled carbon nanotube under axial compression. A simple formula is derived for the critical axial strain, which clearly indicates the role of the van der Waals forces between the inner and outer tubes characterized by two par ameters. In particular, the analysis shows that inserting an inner tube int o a single-walled nanotube does not increase the critical axial strain as c ompared to the single-walled nanotube under otherwise identical conditions, despite the fact that the total critical axial force of the double-walled nanotube could be increased due to an increase in the cross-sectional area. (C) 2000 American Institute of Physics. [S0021-8979(00)03210-2].