Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs)
Bending and vibration analysis of functionally graded trapezoidal nanocomposite plates reinforced with graphene nanoplatelets (GPLs)
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DOI：
10.1016/j.compstruct.2017.08.044
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发表时间：
2017-11
影响因子：
6.3
通讯作者：
Zhan Zhao;C. Feng;Yu Wang;Jie Yang
中科院分区：
文献类型：
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作者：
Zhan Zhao;C. Feng;Yu Wang;Jie Yang
采用有限元方法研究了一类新型功能梯度石墨烯纳米片增强梯形板的弯曲和振动行为。利用改进的Halpin-Tsai模型和混合规则确定了纳米复合材料的有效材料性质，包括杨氏弹性系数、质量密度和泊松比。研究了GPL的分布、浓度和尺寸以及板的几何形状对GPL增强功能梯形板静动力性能的影响。结果表明，添加少量GPL作为增强纳米膜可显著提高板材的刚度，且在板材上下表面附近分布更多表面积较大的GPL可获得最有效的增强效果。此外，与其他分布模式相比，具有这种分布模式的梯形板的弯曲和振动行为对GPL重量分数和板的几何形状更敏感。此外，还发现板的静力和动力挠度随着两个基准角的任何一个变小而趋于减小。
This paper investigates the bending and vibration behaviors of a novel class of functionally graded trapezoidal plates reinforced with graphene nanoplatelets (GPLs) by employing the finite element method. Modified Halpin-Tsai model and the rule of mixture are used to determine the effective material properties including Young’s modulus, mass density and Poisson’s ratio of the nanocomposites. A comprehensive parametric study is conducted to examine the effects of the distribution, concentration and dimension of GPL and the plate geometry on the static and dynamic behaviors of GPL reinforced functionally graded trapezoidal plates. The results demonstrate that adding a small amount of GPLs as reinforcing nanofillers can significantly enhance the stiffness of the plate and the most effective reinforcing effect can be achieved by distributing more GPLs with a larger surface area near the top and bottom surfaces of the plate. Also, the bending and vibration behaviors of trapezoidal plates with such a distribution pattern are more sensitive to the GPL weight fraction and plate geometry compared to the other distribution patterns. Moreover, it is found that the static and dynamic deflections of the plate tend to be lower as either of the two base angles becomes smaller.