Effects of layer number and initial pressure on continuum-based buckling analysis of multi-walled carbon nanotubes accounting for van der Waals interaction  

作　　者：Xinlei LI Jianfei WANG 

机构地区：[1]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures,Faculty of Materials and Manufacturing,Beijing University of Technology,Beijing 100124,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2022年第12期1857-1872,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 12072003);the Beijing Natural Science Foundation of China (No. 1222001)。

摘　　要：The structural instability of multi-walled carbon nanotubes(MWCNTs) has captured extensive attention due to the unique characteristic of extremely thin hollow cylinder structure. The previous studies usually focus on the buckling behavior without considering the effects of the wall number and initial pressure. In this paper, the axial buckling behavior of MWCNTs with the length-to-outermost radius ratio less than 20 is investigated within the framework of the Donnell shell theory. The governing equations for the infinitesimal buckling of MWCNTs are established, accounting for the van der Waals(vd W) interaction between layers. The effects of the wall number, initial pressure prior to buckling, and aspect ratio on the critical buckling mode, buckling load, and buckling strain are discussed, respectively. Specially, the four-walled and twenty-walled CNTs are studied in detail, indicating the fact that the buckling instability may occur in other layers besides the outermost layer. The obtained results extend the buckling analysis of the continuum-based model, and provide theoretical support for the application of CNTs.

关 键 词：multi-walled carbon nanotubes(MWCNTs) buckling load cylindrical shell model instability region buckling mode 

分 类 号：TQ127.11[化学工程—无机化工] TB383.1[一般工业技术—材料科学与工程] O344.1[理学—固体力学]