Homogenized Equations for Steady Heat Conduction in Composite Materials with Dilutely Distributed Impurities

Dai Shi-qiang; Li Jia-chun

Volume 4 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 1983 > 4(2): 159-164

Dai Shi-qiang, Li Jia-chun. Homogenized Equations for Steady Heat Conduction in Composite Materials with Dilutely Distributed Impurities[J]. Applied Mathematics and Mechanics, 1983, 4(2): 159-164.

Citation:

Dai Shi-qiang, Li Jia-chun. Homogenized Equations for Steady Heat Conduction in Composite Materials with Dilutely Distributed Impurities[J]. Applied Mathematics and Mechanics, 1983, 4(2): 159-164.

Citation:

Dai Shi-qiang, Li Jia-chun. Homogenized Equations for Steady Heat Conduction in Composite Materials with Dilutely Distributed Impurities[J]. Applied Mathematics and Mechanics, 1983, 4(2): 159-164.

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Homogenized Equations for Steady Heat Conduction in Composite Materials with Dilutely Distributed Impurities

Institute of Mechanics, Academia Sinica, Beijing

Received Date: 1981-08-31
Publish Date: 1983-04-15

Abstract

Abstract

In this paper, by using the two-space method, homogenized equations for steady heat conduction in the composite material cylinders with dilutely-distributed elliptic cylinders of impurities are derived, and the explicit expressions for the corresponding effective heat conductivity of those which are concerned are obtained. It is also shown that the macroscopic heat conduction is anisotropic when the cross-sections of the impurity cylinders are unidliec-tionally oriented and isotropic when the angular distribution of the cross-sections is uniform.

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References(4)

References

[1]	Keller.,J.B.,Effective conductivity,dielectric constant and permeability of a dilute suspension,Philips Res.Rept.30(1975),83-90.
[2]	Keller,J.B.,Effective Behavior of Heterogeneous Media,in Statistical Mechanics and Statistical Method in Theory and Application,(ed.by V.Landman),Plenum Publ.Corp.(1977),631-644.
[3]	丁汝,摄动法及其在力学中的应用,第一册,概论,(李家春,戴世强整理),中国科学院力学研究所,(1980).
[4]	徐钧涛,刘曾荣,不均匀介质的均匀化稳恒热传导方程,华东师范大学学报(待发表).

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