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研究了含非均匀界面相纤维增强复合材料的宏观等效传热性能。将热导率沿径向连续变化的界面相离散为多个热导率均匀的同心圆柱层,采用广义自洽法和复变函数理论,推导了复合材料宏观等效热导率的解析递推公式,并由递推公式给出了均匀界面相和理想零厚度界面的封闭公式。理想零厚度界面复合材料的热导率与已有理论结果一致。理想零厚度界面和非均匀界面相模型的计算结果与实验数据比较表明,当纤维体积分数较小时,2种模型的预测结果与实验数据吻合均较好,当体积分数较大时,与实验数据相比,非均匀界面相模型的精度大大高于理想零厚度界面模型的精度。本文中给出的递推公式亦可用于计算多涂层纤维增强复合材料的热导率。
The macroscopic equivalent heat transfer performance of fiber reinforced composites with non-uniform interface phase was studied. The discontinuous interfacial phase along the radial direction is dispersed into several concentric cylindrical layers with uniform thermal conductivity. The generalized self-consistent method and the complex variable function theory are used to derive the analytic recursion of the macroscopic equivalent thermal conductivity Formula, and the closed formula of uniform interface phase and ideal zero thickness interface is given by recurrence formula. The thermal conductivity of ideal zero-thickness interfacial composites is consistent with the theoretical results. The results of the ideal zero thickness interface and the non-uniform interface phase model show that when the volume fraction of fiber is small, the predicted results of the two models are in good agreement with the experimental data. When the volume fraction is large, the experimental data In contrast, the accuracy of the non-uniform interface phase model is much higher than that of the ideal zero-thickness interface model. The recursion formulas given in this paper can also be used to calculate the thermal conductivity of multi-coated fiber-reinforced composites.