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含非均匀界面相纤维增强复合材料热传导性能预测的递推公式
引用本文:陈富利,蒋持平.含非均匀界面相纤维增强复合材料热传导性能预测的递推公式[J].复合材料学报,2009,26(4):151-155.
作者姓名:陈富利  蒋持平
作者单位:北京航空航天大学,航空科学与工程学院,北京,100191
摘    要: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。

关 键 词:复合材料  非均匀界面相  广义自洽法  复变函数  热导率
收稿时间:2008-09-02
修稿时间:2008-12-04

A recurrence formula for the prediction of the effective thermal conductivity of fiber reinforced composites with an inhomogeneous interphase
CHEN Fuli,JIANG Chiping.A recurrence formula for the prediction of the effective thermal conductivity of fiber reinforced composites with an inhomogeneous interphase[J].Acta Materiae Compositae Sinica,2009,26(4):151-155.
Authors:CHEN Fuli  JIANG Chiping
Affiliation:(School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China)
Abstract:The thermal conductivities of fiber reinforced composites with an inhomogeneous interphase are studied.The inhomogeneous interphase with continuously varied thermal conductivity can be modeled by a multi-layer concentric cylindrical homogeneous shell.The generalized self-consistent method and complex variable technology are applied to obtain an analytical recurrence formula of the effective conductivity.In the cases of the idealized zero thickness interface and homogeneous interphase,the closed form solutio...
Keywords:composite material  inhomogeneous interphase  generalized self-consistent model  complex variable  thermal conductivity
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