多孔纺织复合材料有效导热系数的评价
Evaluation of Effective Thermal Conductivities of Porous Textile Composites
摘要：
采用非耦合多尺度均匀化方法计算了高孔隙率平纹编织C/C复合材料的有效导热系数。考虑到几何复杂性的材料系统在各个尺度上，通过一个合适的代表性的体积元素（RVE），周期性的单位细胞，利用图像分析提供的信息，一个真正的复合系统在每个尺度上的建设。两种不同的解决方案的程序进行了检查。第一个借鉴了经典的一阶均匀化技术，假设稳态条件和周期性分布的波动部分的温度场。第二种方法涉及瞬态流问题的解决方案。虽然更复杂，后一种方法允许在多孔系统中的传热的详细模拟。有效的导热系数的层压板来自这两种方法，通过一致的均匀化在个别尺度上，然后与实验获得的。一个合理的接近个别结果之间的协议，然后促进使用所提出的多尺度计算方法结合图像分析的真实材料系统。
英文摘要：
An uncoupled multi-scale homogenization approach is used to estimate the effective thermal conductivities of plain weave C/C composites with a high degree of porosity. The geometrical complexity of the material system on individual scales is taken into account through the construction of a suitable representative volume element (RVE), a periodic unit cell, exploiting the information provided by the image analysis of a real composite system on every scale. Two different solution procedures are examined. The first one draws on the classical first order homogenization technique assuming steady state conditions and periodic distribution of the fluctuation part of the temperature field. The second approach is concerned with the solution of a transient flow problem. Although more complex, the latter approach allows for a detailed simulation of heat transfer in the porous system. Effective thermal conductivities of the laminate derived from both approaches through a consistent homogenization on individual scales are then compared with those obtained experimentally. A reasonably close agreement between individual results then promotes the use of the proposed multi-scale computational approach combined with the image analysis of real material systems.
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