碳纳米管（Carbon Nanotube，CNT）增强功能梯度薄板的超高弹性模量、低密度及纤维结构等特点，使其具有广泛的应用前景，但是材料组成结构的复杂性给建模带来了难处。基于Reissner-Mindlin假设，建立碳纳米管增强功能梯度复合材料薄板结构的线性有限元模型，分别分析CNT增强体的分布形式、体积率、边界条件及结构的几何尺寸等因素对该功能梯度复合材料薄板结构性能的影响。通过四边简支及均匀面载荷下的板结构响应数据验证了所建模型的准确性。利用所建模型对CNT增强功能梯度薄板结构进行了几何线性的计算与仿真。研究表明：随着CNT增强体体积率的增加，FGM薄板的形变量减小； X型分布的功能梯度板的形变量最小，O型分布的薄板形变量最大，均一及V型分布产生的形变量大小介于两者之间；当薄板宽厚比小于50时，FGM板变形量趋于稳定且较小。
薛婷
,
秦现生
,
张顺琦
,
李鹏程
,
张书扬
. 碳纳米管增强功能梯度复合材料薄板建模与分析[J]. 机械工程学报, 2018
, 54(16)
: 93
-100
.
DOI: 10.3901/JME.2018.16.093
Carbon nanotube (CNT) has a wide range of applications because of high elastic modulus, low density and fiber structure. Due to the complexity of structural composition, it has brought difficulties to the modeling. Based on the Reissner-Mindlin hypothesis, the linear finite element analysis of the carbon nanotube-reinforced gradient composite plates is established. The effects of distribution form, volume ratio of the CNT reinforcement and geometric parameters of the plates on composite structure are verified respectively. The accuracy of the model is verified by the experiment of the plate structure under simple support and uniform load. The geometrical linear calculation and simulation of CNT-strengthened functionally graded plates are carried out using this model. The results show that the deformation of FGM plate decreases with the increase of the volume fraction of CNT, among different distribution forms, deformation of X-shaped functional distribution form is the smallest, and that of O-shaped functional distribution form is the largest, and that of uniformed distribution form and V-shaped distribution form are in the middle; when the side to thickness ratio is less than 50, FGM plate deformation tends to be stable and small.
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