Determination of effective thermal expansion coefficients of unidirectional fibrous nanocomposites

Determination of effective thermal expansion coefficients of unidirectional fibrous nanocomposites
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单向纤维纳米复合材料有效热膨胀系数的测定

DOI:
10.1007/s00033-016-0706-3
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发表时间:
2016-08
影响因子:
2
通讯作者:
Gao Cun-Fa
Gao Cun-Fa
中科院分区:
数学3区
文献类型:
--
作者:
Dai Ming;Schiavone Peter;Gao Cun-Fa

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我们提出一种高效的数值格式(基于复变函数技术)来计算含单向周期性纤维的复合材料的有效热膨胀系数。此外,纤维的力学行为包含……
We present an efficient numerical scheme (based on complex variable techniques) to calculate the effective thermal expansion coefficients of a composite containing unidirectional periodic fibers. Moreover, the mechanical behavior of the fibers incorporates interface effects allowing the ensuing analytical model of the composite to accommodate deformations at the nanoscale. The resulting ‘nanocomposite’ is subjected to a uniform temperature variation which leads to periodic deformations within the plane perpendicular to the fibers and uniform deformations along the direction of the fibers. These deformation fields are determined by analyzing a representative unit cell of the composite subsequently leading to the corresponding effective thermal expansion coefficients. Numerical results are illustrated via several physical examples. We find that the influence of interface effects on the effective thermal expansion coefficients (in particular that corresponding to the transverse direction in the plane perpendicular to the fibers) decays rapidly as the fibers become harder. In addition, by comparing the results obtained here with those from effective medium theories, we show that the latter may induce significant errors in the determination of the effective transverse thermal expansion coefficient when the fibers are much softer than the matrix and the fiber volume fraction is relatively high.
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