An analytical solution for transverse thermal conductivities of unidirectional fibre composites with thermal barrier
An analytical solution for transverse thermal conductivities of unidirectional fibre composites with thermal barrier
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DOI：
10.1088/0022-3727/35/15/309
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发表时间：
2002-07
期刊：
影响因子：
--
通讯作者：
Mingqing Zou;Bo-ming Yu;Duan-ming Zhang
中科院分区：
文献类型：
--
作者：
Mingqing Zou;Bo-ming Yu;Duan-ming Zhang
本文基于电类比技术和柱状纤维-方形堆积阵列单胞模型(C-S模型)，导出了具有热障的单向纤维复合材料横向导热系数的解析表达式。给出了纤维与基质之间有热障和无热障时的解析表达式。结果表明，在无热障的情况下，理论计算结果与已有的有限差分法分析模型和诺模图吻合较好，并与已有的实验数据吻合较好。此外，考虑热障的分析预测与实验数据吻合较好，且比有限元方法具有更高的精度。从而验证了具有热障的单向纤维复合材料横向导热系数解析解的有效性。
In this paper, an analytical expression for transverse thermal conductivities of unidirectional fibre composites with thermal barrier is derived based on the electrical analogy technique and on the cylindrical filament-square packing array unit cell model (C-S model). The present analytical expressions both with and without thermal barrier between fibre and matrix are presented. The present theoretical predictions without thermal barrier are found to be in excellent agreement with the existing analytical model and nomogram from the finite difference method (FDM), and in good agreement with existing experimental data. Furthermore, the present analytical predictions with thermal barrier can best fit the experimental data and can provide a higher accuracy than the finite element method (FEM). The validity of the present analytical solution is thus verified for transverse thermal conductivities of unidirectional fibre composites with thermal barrier.