Study of non-local wave properties of nanotubes with surface effects

► Surface and small scale effects are taken into account to study wave propagation in nanotubes. ► The flexural wavenumbers with surface effects are high as compared to that without surface effects. ► With consideration of surface effects the flexural wavenumbers are showing a compressive nature. ► A anodic alumina nanotube with crystallographic of 〈1 1 1〉 direction are considered for the analysis.