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Buckling of pressurized functionally graded carbon nanotube reinforced conical shells

机译：加压功能梯度碳纳米管增强锥形壳的屈曲

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摘要

A linear buckling analysis is presented for nanocomposite conical shells reinforced with single walled carbon nanotubes (SWCNTs) subjected to lateral pressure. Material properties of functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shell are assumed to be graded across the thickness and are obtained based on the modified rule of mixture. Governing equilibrium equations of the shell are obtained based on the Donnell shell theory assumptions consistent with the first order shear deformation shell theory. General form of the equilibrium equations and the complete set of boundary conditions are obtained based on the concept of virtual displacement principle. Shell is assumed to be under lateral pressure. Prebuckling load of the shell is estimated based on the linear membrane analysis. Stability equations of the shell are extracted via the adjacent equilibrium criterion. Resulting stability equations are discreted by suitable trigonometric functions in circumferential direction and generalized differential quadrature method in axial direction. An eigenvalue problem is established to obtain the buckling pressure and circumferential buckling mode of the conical shell. It is shown that, CNTs volume fraction and CNTs distribution law are important factors on the buckling mode and buckling load of the FG-CNTRC conical shells. (C) 2015 Elsevier Ltd. All rights reserved.
机译：线性屈曲分析提出了纳米复合锥壳用单壁碳纳米管（SWCNTs）承受侧向压力增强。假定功能梯度的碳纳米管增强复合材料（FG-CNTRC）锥形壳的材料特性沿厚度方向是渐变的，并且是根据混合物的修正规则获得的。基于与一阶剪切变形壳理论一致的Donnell壳理论假设，获得了壳的支配平衡方程。根据虚拟位移原理的概念，获得了平衡方程的一般形式和完整的边界条件。假定壳承受侧向压力。基于线性膜分析来估计壳体的预屈曲载荷。通过相邻的平衡准则提取壳体的稳定性方程。通过合适的三角函数在圆周方向上离散所得的稳定性方程，并在轴向上通过广义微分正交方法将其分解。建立特征值问题以获得圆锥壳的屈曲压力和周向屈曲模式。结果表明，碳纳米管的体积分数和碳纳米管的分布规律是影响FG-CNTRC锥形壳屈曲模式和屈曲载荷的重要因素。 （C）2015 Elsevier Ltd.保留所有权利。

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