Buckling and postbuckling behavior of carbon nanotube‐reinforced composite (CNTRC) cylindrical shells with tangentially restrained edges exposed to preexisting temperature conditions and subjected to uniform external pressure are presented in this analytical study. Three temperature conditions considered are that uniform temperature rise, through‐the‐thickness temperature gradient, and in‐plane linear temperature distribution. Carbon nanotubes (CNTs) are reinforced into matrix phase through uniform or functionally graded distributions. The properties of CNTs and matrix are assumed to be temperature‐dependent and effective moduli of CNTRC are determined according to extended rule of mixture. Governing equations are based on the classical shell theory taking into account Von Karman‐Donnell nonlinearity and elasticity of tangential constraints of edges. Multi‐term solutions of deflection and stress function are assumed to satisfy simply supported boundary conditions and Galerkin method is applied to derive closed‐form expression of nonlinear pressure‐deflection relation from which critical buckling pressures and postbuckling paths are determined. A variety of numerical examples are given and interesting remarks are achieved. Due to practical situations of boundary edges and various temperature conditions, this paper aims to analyze separate and combined influences of tangential edge constraints and preexisting temperatures on thermomechanical postbuckling behavior of pressure‐loaded nanocomposite cylindrical shells.

中文翻译：

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切向边缘约束和不同温度条件下压力加载的CNT增强复合材料圆柱壳的热机械后屈曲

在此分析研究中，提出了碳纤维增强复合材料（CNTRC）圆柱壳的切屈约束边缘的屈曲和后屈曲行为，这些壳承受切向约束的边缘暴露于既有温度条件下，并且受到均匀的外压。考虑的三个温度条件是均匀的温度上升，整个厚度的温度梯度和平面内线性温度分布。碳纳米管（CNT）通过均匀或功能梯度分布增强为基质相。假定碳纳米管和基体的性质取决于温度，并根据混合物的扩展规律确定碳纳米管的有效模量。控制方程是基于经典壳理论的，其中考虑了Von Karman-Donnell的非线性和切线约束的弹性。假定挠度和应力函数的多项式解满足简单支持的边界条件，并应用Galerkin方法导出非线性压力-挠度关系的闭合形式，从而确定临界屈曲压力和屈曲后的路径。给出了各种数值示例，并获得了有趣的评论。由于边界边缘的实际情况和各种温度条件，本文旨在分析切向边缘约束和预先存在的温度对压力加载的纳米复合圆柱壳热机械后屈曲行为的单独和综合影响。假定挠度和应力函数的多项式解满足简单支持的边界条件，并应用Galerkin方法导出非线性压力-挠度关系的闭合形式，从而确定临界屈曲压力和屈曲后的路径。给出了各种数值示例，并获得了有趣的评论。由于边界边缘的实际情况和各种温度条件，本文旨在分析切向边缘约束和预先存在的温度对压力加载的纳米复合圆柱壳热机械后屈曲行为的单独和综合影响。假定挠度和应力函数的多项式解满足简单支持的边界条件，并应用Galerkin方法导出非线性压力-挠度关系的闭合形式，从而确定临界屈曲压力和屈曲后的路径。给出了各种数值示例，并获得了有趣的评论。由于边界边缘的实际情况和各种温度条件，本文旨在分析切向边缘约束和预先存在的温度对压力加载的纳米复合圆柱壳热机械后屈曲行为的单独和综合影响。