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NURBS-based postbuckling analysis of functionally graded carbon nanotube-reinforced composite shells

机译:基于NURBS的功能梯度碳纳米管增强复合材料壳的屈曲后分析

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摘要

An investigation into the postbuckling and geometrically nonlinear behaviors of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) shells is carried out in this study. The discrete nonlinear equation system is established based on non-uniform rational B-Spline (NURBS) basis functions and the first-order shear deformation shell theory (FSDT). The nonlinearity of shells is formed in the Total Lagrangian approach considering the von Karman assumption. The incremental solutions are obtained by using a modified Riks method. In the present formulation, the rule of mixture is used to estimate the effective material properties of FG-CNTRC shells. Effects of CNTs distribution, volume fraction and CNTs orientation on the postbuckling behavior of FG-CNTRC shells are particularly investigated. Exact geometries of shells are modeled by using NURBS interpolation. Several verifications are given to show the high reliability of the proposed formulation. Especially, some complex postbuckling curves of FG-CNTRC panels and cylinders are first provided that could be useful for future references. (C) 2019 Elsevier B.V. All rights reserved.
机译:本研究对功能梯度碳纳米管增强复合材料(FG-CNTRC)壳的屈曲后和几何非线性行为进行了研究。基于非均匀有理B样条(NURBS)基函数和一阶剪切变形壳理论(FSDT),建立了离散非线性方程组。考虑到冯·卡曼假设,在总拉格朗日方法中形成了壳体的非线性。通过使用改进的Riks方法获得增量解。在本配方中,混合规则用于估算FG-CNTRC壳的有效材料性能。特别研究了碳纳米管的分布,体积分数和碳纳米管的取向对FG-CNTRC壳屈曲后行为的影响。通过使用NURBS插值对壳的精确几何形状进行建模。进行了几次验证,以表明所提议配方的高度可靠性。特别是,首先提供了FG-CNTRC面板和圆柱体的一些复杂的后屈曲曲线,这些曲线可能对将来的参考很有用。 (C)2019 Elsevier B.V.保留所有权利。

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