in this paper, the radial breathing mode (rbm) frequencies of multi-walled carbon nanotubes (mwcnts) are obtained based on the multiple-elastic thin shell model. for this purpose, mwcnt is considered as a multiple concentric elastic thin cylindrical shells, which are coupled through van der waals (vdw) forces between two adjacent tubes. lennard-jones potential is used to calculate the vdw forc...