An analytical study on buckling of carbon nanotube reinforced composite (CNTRC) circular cylindrical shells and toroidal shell segments surrounded by elastic media, exposed to thermal environments and subjected to axial compression and combined mechanical loads is presented in this paper. Carbon nanotubes (CNTs) are reinforced into isotropic matrix through uniform and functionally graded distributions. Material properties of constituents are assumed to be temperature dependent and effective elastic moduli of CNTRC are estimated by an extended rule of mixture. Formulations are based on first order shear deformation theory taking into account interaction between the shell and surrounding medium. Two‐term solution of deflection is assumed to satisfy simply supported boundary conditions and Galerkin method is used to obtain closed‐form expressions of buckling loads. Numerical illustrations are given to analyze the effects of CNT volume fraction and distribution patterns, preexisting loads, surrounding elastic media and geometrical parameters on the stability of CNTRC shells. The proposed approach is simple and effective to evaluate buckling loads of moderately thick closed nanocomposite shells under different types of mechanical loads.

中文翻译：

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热环境中机械载荷作用下可剪切变形的FG‐CNTRC圆柱壳和环形壳段的屈曲

本文对碳纳米管增强复合材料（CNTRC）圆柱壳和被弹性介质包围，暴露于热环境并承受轴向压缩和组合机械载荷的环形壳的屈曲进行了分析研究。碳纳米管（CNT）通过均匀且功能梯度分布增强为各向同性基质。假定成分的材料特性取决于温度，并且通过扩展的混合规则来估算CNTRC的有效弹性模量。配方基于一阶剪切变形理论，考虑了壳层与周围介质之间的相互作用。假定挠度的两个条件解满足简单支持的边界条件，并且使用Galerkin方法获得屈曲载荷的闭合形式。给出了数值说明，以分析碳纳米管的体积分数和分布模式，预先存在的载荷，周围的弹性介质和几何参数对碳纳米管壳稳定性的影响。所提出的方法简单有效地评估了中等厚度的封闭纳米复合材料壳在不同类型的机械载荷下的屈曲载荷。