Prediction of the overall moduli of layered silicate-reinforced nanocomposites—part I: basic theory and formulas
Prediction of the overall moduli of layered silicate-reinforced nanocomposites—part I: basic theory and formulas
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DOI：
10.1016/s0266-3538(03)00024-1
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发表时间：
2004-06
影响因子：
9.1
通讯作者：
Jianxiang Wang;R. Pyrz
中科院分区：
文献类型：
--
作者：
Jianxiang Wang;R. Pyrz
这部分介绍了预测层状硅酸盐增强聚合物纳米复合材料总模量的基本理论和公式。考虑到复合材料的形态和层状硅酸盐的各向异性，本文采用Mori-Tanaka方法推导了横观各向同性球体增强复合材料的总模量公式。然后，这些公式被用来检查的各向异性和纵横比的横观各向同性球体上的复合材料的整体模量的影响。结果表明，横观各向同性球体增强复合材料的整体模量主要受球体长轴方向刚度的影响，特别是在小纵横比和大纵横比的情况下。Mori-Tanaka方法的基础上的预测进行了比较，在文献中的各向同性薄扁球体的近似公式。结果发现，这些近似公式同意与Mori-Tanaka预测在低体积分数的增强。
This part of the two-part paper presents the basic theory and formulas for the prediction of the overall moduli of layered silicate-reinforced polymeric nanocomposites. In view of the morphology of the composites and the anisotropic nature of layered silicate, formulas for the overall moduli of composite materials reinforced with transversely isotropic spheroids are derived in this part using the Mori–Tanaka method. These formulas are then used to examine the influences of the anisotropy and aspect ratio of the transversely isotropic spheroids on the overall moduli of the composite materials. It is found that the overall moduli of the composite materials reinforced with transversely isotropic spheroids are predominated by the stiffness of the spheroids in the direction of their major axis, especially for the cases of small and large aspect ratios. The predictions based upon the Mori–Tanaka method are also compared with approximate formulas in the literature for isotropic thin oblate spheroids. It is found that these approximate formulas agree well with the Mori–Tanaka predictions at low volume fractions of the reinforcement.