具有不完全微观结构的平纹编织复合材料的均匀化：II部分--实际材料的分析
Homogenization of plain weave composites with imperfect microstructure: Part II--Analysis of real-world materials
摘要：
提出了一种两层统计等效的周期性单胞模型，用于预测平纹编织多层碳-碳纺织复合材料的宏观响应。在描述这些材料系统的最典型的几何缺陷时，在（Zeman和Šejnoha，International Journal of Solids and Structures，41（2004），pp. 6549- 6571）进行了实质性修改，现在允许纺织织物的各个层在所有三个方向上嵌套和相互移位。然而，本配方的最有价值的资产被认为是通过在晶胞的两层之间引入的扁球形空隙的系统反映可忽略的中尺度孔隙率的影响的可能性。数值预测的有效热导率和弹性刚度和它们的比较与现有的实验室数据和使用Mori-Tanaka平均方案得出的结果支持本方法的可信度，大约一样多的可靠性，发现从纳米压痕测试直接进行分析的复合材料样品的局部机械性能。
英文摘要：
A two-layer statistically equivalent periodic unit cell is offered to predict a macroscopic response of plain weave multilayer carbon-carbon textile composites. Falling-short in describing the most typical geometrical imperfections of these material systems the original formulation presented in (Zeman and Šejnoha, International Journal of Solids and Structures, 41 (2004), pp. 6549--6571) is substantially modified, now allowing for nesting and mutual shift of individual layers of textile fabric in all three directions. Yet, the most valuable asset of the present formulation is seen in the possibility of reflecting the influence of negligible meso-scale porosity through a system of oblate spheroidal voids introduced in between the two layers of the unit cell. Numerical predictions of both the effective thermal conductivities and elastic stiffnesses and their comparison with available laboratory data and the results derived using the Mori-Tanaka averaging scheme support credibility of the present approach, about as much as the reliability of local mechanical properties found from nanoindentation tests performed directly on the analyzed composite samples.
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