Impact analysis of CNT-reinforced composite plates based on Reddy's higher-order shear deformation theory using an element-free approach
Impact analysis of CNT-reinforced composite plates based on Reddy's higher-order shear deformation theory using an element-free approach
复制标题
基于 Reddy 高阶剪切变形理论的 CNT 增强复合材料板的无单元冲击分析
DOI：
10.1016/j.compstruct.2017.03.026
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发表时间：
2017
影响因子：
6.3
通讯作者：
Liew K. M.
中科院分区：
文献类型：
--
作者：
Selim B. A.;Zhang L. W.;Liew K. M.
据我们所知，研究功能梯度碳纳米管增强复合材料（CNTRC）板的冲击分析的现有文献非常有限，并且在使用任何无元素方法的情况下都缺失。本文提出了一种新的无单元IMLS-Ritz模型，结合Reddy的高阶剪切变形理论，研究了均匀分布和功能梯度分布的CNTRC板的冲击分析。采用改进的非线性赫兹接触律定义了CNTRC靶板与球面冲击器在冲击持续时间内的接触力。采用Newmark时间积分法辨识CNTRC板的动力响应和冲击器位移。采用两种Mori-Tanaka方法计算了随机取向和直线CNTs增强复合材料的有效材料性能。当前方法的准确性与现有的公开文献结果一致。进行了详细的参数研究，研究了CNTs分布、板宽厚比、冲击器初速度、冲击器半径和CNTs体积分数对结果的影响。此外，还比较了两种Mori-Tanka方法得到的结果。
To the best of our knowledge, the available literature investigating the impact analysis of functionally graded carbon nanotube reinforced composite (CNTRC) plates is very limited and missing in the case of utilizing any of the element-free methods. In this paper, a novel element-free IMLS-Ritz model in association with Reddy’s higher-order shear deformation theory is presented to study the impact analysis of CNTRC plates with both uniform and functionally graded carbon nanotubes (CNTs) distributions. The modified non-linear Hertz contact law is used to define the contact force between the CNTRC target plates and the spherical impactor during the impact duration. Newmark time integration method is employed to identify the dynamic response of the CNTRC plates and the impactor displacement. Two Mori–Tanaka methods are utilized to calculate the effective material properties of the composites reinforced with randomly oriented or aligned straight CNTs. The current approach accuracy is validated with the available open literature results showing a clear agreement. Detailed parametric studies are performed to study the effects of CNTs distributions, plate’s width-to-thickness ratio, impactor’s initial velocity, impactor’s radius and CNTs volume fraction on the results. Furthermore, a comparison between the results obtained by the two Mori-Tanka methods is presented.