Nonlocal beam model for axial buckling of carbon nanotubes with surface effect

作者:Sun, Yu Gang*; Yao, Xiao Hu; Liang, Ying Jing; Han, Qiang
来源:EPL, 2012, 99(5): 56007.
DOI:10.1209/0295-5075/99/56007

摘要

Small-size effect and surface effect are two of the most specific intrinsic properties of nanostructures, both of which are of great significance to the related applications. In this letter, the nonlocal Euler-Bernoulli beam model, together with surface elasticity and surface tension are implemented to investigate the buckling behavior of axially compressed carbon nanotubes. Explicit expression of solutions to the critical buckling loads corresponding to typical boundary conditions is presented. Through contrast to molecular dynamics results, it is vitally important to note that both small-size effect and surface effect have a profound consequence and should be taken into account thoroughly.