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Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates

机译：功能梯度碳纳米管增强复合纳米板的尺寸依赖性等几何分析

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摘要

This paper presents an effective and simple computational formulation based on isogeometric analysis (IGA) and generalized higher-order shear deformation theory (GHSDT) to study size-dependent analysis of functionally graded carbon nano-reinforced composite (FG-CNTRC) nanoplates. The material properties of FG-CNTRC are assumed to be graded through the thickness direction according to four special distributions of carbon nanotubes (CNTs). The differential nonlocal equations are utilized to take into account size effects. The nonlocal governing equations are approximated according to IGA based on GHSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of FG-CNTRC nanoplates. Carbon nanotube volume fraction and nonlocal effects on responses of FG-CNTRC nanoplates with different volume fractions are studied. Numerical results prove high accuracy and reliability of the present method in comparison with other available numerical approaches. (C) 2017 Elsevier Ltd. All rights reserved.
机译：本文提出了一种基于等几何分析（IGA）和广义高阶剪切变形理论（GHSDT）的有效而简单的计算公式，以研究功能梯度碳纳米增强复合材料（FG-CNTRC）纳米板的尺寸依赖性分析。假设FG-CNTRC的材料特性是根据碳纳米管（CNT）的四个特殊分布在厚度方向上分级的。微分非局部方程用于考虑尺寸影响。非局部控制方程根据基于GHSDT的IGA近似，自然满足FG-CNTRC纳米板弱形式的高阶导数连续性要求。研究了碳纳米管的体积分数和非局部效应对不同体积分数的FG-CNTRC纳米板响应的影响。与其他可用的数值方法相比，数值结果证明了本方法的高精度和可靠性。 （C）2017 Elsevier Ltd.保留所有权利。

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