This paper presents a simple and effective analytical approach to investigate buckling behavior of carbon nanotube-reinforced composite (CNTRC) cylindrical shells and toroidal shell segments surrounded by elastic media and subjected to elevated temperature, lateral pressure and thermomechanical load. The properties of constituents are assumed to be temperature-dependent, and effective properties of CNTRC are estimated according to extended rule of mixture. Carbon nanotubes (CNTs) are reinforced into matrix material such in a way that their volume fraction is varied in the thickness direction according to functional rules. Formulations are established within the framework of first-order shear deformation theory taking surrounding elastic media and tangential elasticity of edges into consideration. The solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions, and Galerkin method is used to derive expressions of buckling loads. In thermal buckling analysis, an iteration algorithm is employed to evaluate critical temperatures. The effects of CNT volume fraction and distribution patterns, degree of in-plane edge constraints, geometrical parameters, preexisting loads and surrounding elastic foundations on the critical loads of nanocomposite shells are analyzed through a variety of numerical examples.

中文翻译：

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具有切向约束边缘的可剪切变形FG-CNTRC圆柱壳和环形壳段的热和热机械屈曲

本文提出了一种简单有效的分析方法来研究碳纳米管增强复合材料（CNTRC）圆柱壳和被弹性介质包围并承受高温，侧向压力和热机械载荷的环形壳段的屈曲行为。假定成分的特​​性与温度有关，并且根据混合物的扩展规则估算CNTRC的有效特性。碳纳米管（CNT）被增强到基质材料中，以使它们的体积分数根据功能规则在厚度方向上变化。在一阶剪切变形理论的框架内建立了公式，其中考虑了周围的弹性介质和边缘的切向弹性。假定挠度和应力函数的解满足简单支持的边界条件，并使用Galerkin方法导出屈曲载荷的表达式。在热屈曲分析中，采用迭代算法评估临界温度。通过各种数值例子分析了碳纳米管的体积分数和分布模式，面内边缘约束程度，几何参数，既有载荷以及周围弹性基础对纳米复合材料壳临界载荷的影响。