Two-point quasifractional approximants for effective conductivity of a simple cubic lattice of spheres

被引:6
|
作者
Andrianov, I [1 ]
Danishevskyi, V [1 ]
Tokarzewski, S [1 ]
机构
[1] INST FUNDAMENTAL TECHNOL RES,CTR MECH,PL-00049 WARSAW,POLAND
关键词
D O I
10.1016/0017-9310(95)00247-2
中图分类号
O414.1 [热力学];
学科分类号
摘要
We study the effective heat conductivity k of a periodic cubic array (with side length l) of perfectly conducting spheres of the volume phi, embedded in a matrix material with conductivity 1. We construct a sequence of quasifractional approximants for the effective conductivity. As the bases for the construction we use the perturbation approach for phi --> 0 and asymptotic formula for phi --> pi/6 (limiting value of sphere) and as a tool-quasifractional approximants. Copyright (C) 1996 Elsevier Science Ltd.
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页码:2349 / 2352
页数:4
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