Finite deformation of single-walled carbon nanocones under axial compression using a temperature-related multiscale quasi-continuum model

Abstract

A temperature-related multiscale quasi-continuum (QC) model is presented herein for the investigation of the finite deformation behaviors, especially buckling and post-buckling, of open-tip single-walled carbon nanocones (SWCNCs) in thermal environments. The hyper-elastic constitutive model is established with the use of so-called temperature-related higher-order Cauchy–Born (THCB) rule as the kinematic description for the deformation of SWCNCs. The corresponding meshless computational scheme is developed to accomplish the numerical simulation of the deformation responses of SWCNCs. The numerical results reveal that the present approach is effective and efficient for the prediction of the buckling behaviors of SWCNCs at finite temperature. It is found that the buckling and post-buckling of SWCNCs are strongly dependent on the rotation angle of cutting lines, the top radius, the height and the apex angle. The mechanical properties and buckling of SWCNCs with large top radius and apex angle are close to those of graphene.