In this study, stability loss research has been made for composite material containing a locally curved one double-walled carbon nanotube and one triple-walled carbon nanotube separately. The research has been made within the scope of piecewise-homogenous body model by the use of three-dimensional linearized theory of stability (TDLTS). The carbon nanotubes are resistant to tension, but as they contain large gaps in their structure, their resistance to compression is very low. For this reason, searching the behaviors of nanotubes under compression is very important. The van der Waals forces between the walls of the carbon nanotube have been considered. It has been thought that the referred composite material is under the effect of uniformly distributed normal forces in the direction of carbon nanotube at infinity. In the model, ideal contact conditions have been used between the nanotube and the matrix. In addition, the effect of increasing the number of layers of the nanotube on the critical load has been investigated. The results obtained from this study will be able to guide in the implementations relevant to modeling of mechanical behaviors of the addressed composite material. Thus, the limits required to be considered in the production of composite material containing double-walled and triple-walled nanotubes with local curvature have been obtained.

在这项研究中，已经对复合材料进行了稳定性损失研究，该复合材料分别包含局部弯曲的一个双壁碳纳米管和一个三壁碳纳米管。通过使用三维线性化稳定性理论（TDLTS），在分段均质体模型的范围内进行了研究。碳纳米管具有抗拉伸性，但是由于其结构中包含较大的空隙，因此其抗压缩性非常低。因此，寻找压缩状态下纳米管的行为非常重要。已经考虑了碳纳米管壁之间的范德华力。可以认为，所提及的复合材料在碳纳米管的无限远方向上受到均匀分布的法向力的作用。在模型中 在纳米管和基体之间已经使用了理想的接触条件。另外，已经研究了增加纳米管的层数对临界载荷的影响。从这项研究中获得的结果将能够指导与所提出的复合材料的力学行为建模相关的实现。因此，获得了在包含具有局部曲率的双壁和三壁纳米管的复合材料的生产中需要考虑的限制。从这项研究中获得的结果将能够指导与所提出的复合材料的力学行为建模相关的实现。因此，获得了在包含具有局部曲率的双壁和三壁纳米管的复合材料的生产中需要考虑的限制。从这项研究中获得的结果将能够指导与所提出的复合材料的力学行为建模相关的实现。因此，获得了在包含具有局部曲率的双壁和三壁纳米管的复合材料的生产中需要考虑的限制。