Homogenization of transient heat transfer problems for some composite materials

被引：35
|
作者：
Kaminski, M [1 ]
机构：
[1] Tech Univ Lodz, Fac Civ Engn Environm Engn & Architecture, Div Mech Mat, PL-93590 Lodz, Poland
来源：
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2003年 / 41卷 / 01期
关键词：
transient heat transfer; composite materials; homogenization; finite element method; random fields; symbolic computations;
D O I：
10.1016/S0020-7225(02)00144-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The article presented is devoted to the homogenization of transient heat transfer problems in some composite materials. The mathematical model used in the FEM computation is based on the effective modules method introduced for periodic composites. The effective heat conductivity is calculated in the closed form; effective heat capacity and mass density for the composite are obtained by simple spatial averaging. Such a homogenization scheme makes it possible to significantly simplify the numerical analysis of transient heat phenomena in various types of composites. Computational experiments performed using symbolic mathematics show the variability of effective heat conductivity for 2D and 3D composites as a function of the reinforcement volume ratio, of composite components conductivity coefficients as well as of the probabilistic moments of material properties versus volume ratio. Finally, using the Finite Element Method program, the comparison of transient heat transfer problem for the real and homogenized composites models is carried out. (C) 2002 Published by Elsevier Science Ltd.
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页码：1 / 29
页数：29
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