Evaluation of nonlocal parameter for single-walled carbon nanotubes with arbitrary chirality

Eringen's nonlocal parameter is estimated for single-walled carbon nanotubes (SWCNTs) with arbitrary chirality. Analytical solution is presented by using molecular mechanics and nonlocal elasticity theory. The model is used to elucidate the effect of tube chirality, tube diameter, aspect ratio of the nanotube (length/diameter) and wave propagation mode shapes on the magnitude of the nonlocal parameter. The results show that, instead of a constant value for the nonlocal parameter reported in literature, the values of the nonlocal parameter vary with respect to different geometrical parameters of the SWCNTs.