基于非局部弹性理论的单壁碳纳米管轴向受压屈曲研究

Buckling of a single wall carbon nanotube under an axial pressure based on the nonlocal elastic theory

基于非局部弹性理论,在考虑小尺度效应影响的情况下,建立了单壁碳纳米管在均匀轴向外部压力下的壳体模型.得到了单壁碳纳米管的轴向受压屈曲的临界条件,验证了小尺度效应对纳米管轴向受压屈曲的影响.经典的壳体模型理论由于没有考虑小尺度效应影响而导致碳纳米管轴向屈曲临界压力值偏高.

A shallow shell model is developed for the elastic buckling of a single wall carbon nanotube under a uniform external axial pressure by using the nonlocal elastic theory. Effects of the small size scale are incorporated in the formulation. Critical conditions are given under the axial buckling pressure for a single-wall carbon nanotube. Influences of the small size scale on the axial buckling pressure are found. It is concluded that the axial buckling pressure for a carbon nanotube could be overestimated by the classic shell model without considering the effect of the small size scale.