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lsogeometric analysis of functionally graded carbon nanotube-reinforced composite plates using higher-order shear deformation theory

机译：使用高阶剪切变形理论的功能梯度碳纳米管增强复合板的等几何分析

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摘要

This paper presents a simple and effective formulation based on isogeometric analysis (IGA) and higher-order shear deformation theory (HSDT) to investigate the static and dynamic behavior of functionally graded carbon nano-reinforced composite plates. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) are assumed to be graded through the thickness direction according to several linear distributions of the volume fraction of carbon nanotubes. The governing equation is approximated according to the HSDT model using isogeometric elements based on Non-Uniform Rational B-Spline (NURBS) basis functions. This achieves naturally any desired degree of continuity through the choice of the interpolation order, so that the method easily fulfils the C-1-continuity requirement of the HSDT model. The accuracy and reliability of the proposed method is verified by comparing its numerical predictions with those of other available numerical approaches. (C) 2014 Elsevier Ltd. All rights reserved.
机译：本文提出了一种基于等几何分析（IGA）和高阶剪切变形理论（HSDT）的简单有效的配方，以研究功能梯度碳纳米增强复合板的静态和动态行为。假定功能梯度碳纳米管增强复合材料（FG-CNTRCs）的材料性能是根据碳纳米管体积分数的几种线性分布在厚度方向上进行分级的。根据基于非均匀有理B样条（NURBS）基函数的等几何元素，根据HSDT模型近似控制方程。通过选择插值顺序，自然可以达到任何期望的连续性程度，因此该方法可以轻松满足HSDT模型的C-1连续性要求。通过将其数值预测与其他可用数值方法的数值预测进行比较，验证了该方法的准确性和可靠性。 （C）2014 Elsevier Ltd.保留所有权利。

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