用Mori-Tanaka方法评估不完全碳-碳纺织复合材料的均匀导热系数
Evaluation of homogenized thermal conductivities of imperfect carbon-carbon textile composites using the Mori-Tanaka method
摘要：
本文提出了一种三尺度均匀化方法来估算多孔碳-碳织物复合材料的有效导热系数。在每个尺度上-纤维束水平（微观尺度）、纱线水平（介观尺度）和层合物水平（宏观尺度）-采用基于Mori-Tanaka平均方案的两步均匀化过程。这涉及在没有孔隙的情况下首先评估有效性质。在下一步骤中，将椭圆形孔引入到新的、通常正交各向异性的基质中，以提供由聚合物前体热转化成碳基质而产生的卷曲空隙和横向和分层裂纹的存在。其他来源的缺陷也归因于制造过程，包括不均匀的纹理的增强，考虑到通过直方图的倾斜角沿纤维束路径测量连同一个特定形状的等效椭圆形夹杂物。分析表明，一个合理的协议的数值预测与实验测量可以实现。
英文摘要：
Three-scale homogenization procedure is proposed in this paper to provide estimates of the effective thermal conductivities of porous carbon-carbon textile composites. On each scale - the level of fiber tow (micro-scale), the level of yarns (meso-scale) and the level of laminate (macro-scale) - a two step homogenization procedure based on the Mori-Tanaka averaging scheme is adopted. This involves evaluation of the effective properties first in the absence of pores. In the next step, an ellipsoidal pore is introduced into a new, generally orthotropic, matrix to make provision for the presence of crimp voids and transverse and delamination cracks resulting from the thermal transformation of a polymeric precursor into the carbon matrix. Other sources of imperfections also attributed to the manufacturing processes, including non-uniform texture of the reinforcements, are taken into consideration through the histograms of inclination angles measured along the fiber tow path together with a particular shape of the equivalent ellipsoidal inclusion. The analysis shows that a reasonable agreement of the numerical predictions with experimental measurements can be achieved.
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