Calculation of the effective thermal conductivity in composites using finite element and Monte!Carlo methods

被引：13

作者：

Fiedler, T. ^{[1
]}

Oechsner, A. ^{[1
,2
]}

Muthubandara, N. ^{[3
]}

Belova, I. V. ^{[3
]}

Murch, G. E. ^{[3
]}

机构：

[1] Univ Aveiro, Ctr Mech Technol & Automat, P-3800 Aveiro, Portugal

[2] Univ Aveiro, Dept Engn Mech, P-3800 Aveiro, Portugal

[3] Univ Newcastle, Sch Engn, Diffusion Solids Grp, Callaghan, NSW 2308, Australia

来源：

DIFFUSION IN SOLIDS AND LIQUIDS: HEAT TRANSFER - MICROSTRUCTURE & PROPERTIES | 2007年 / 553卷

基金：

澳大利亚研究理事会;

关键词：

thermal conductivity; Monte Carlo; finite element; composites;

D O I：

10.4028/www.scientific.net/MSF.553.51

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, the Finite Element and lattice Monte Carlo methods are used to calculate the effective thermal conductivity of two models of a composite: circular and square inclusions arranged in a square planar arrangement. A new lattice Monte Carlo method based around Fick's First Law is also presented. Excellent agreement is found between these quite different methods. It is also shown that the results are in excellent agreement with the century-old Maxwell Equation.

引用

页码：51 / +

页数：2

共 5 条

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Belova, IV
Murch, GE
[J]. JOURNAL OF PHYSICS AND CHEMISTRY OF SOLIDS, 2003, 64 (05) : 873 - 878
[3] Calculations of the thermal conductivity of porous materials
Fiedler, T.
Pesetskaya, E.
Ochsner, A.
Gracio, J.
[J]. ADVANCED MATERIALS FORUM III, PTS 1 AND 2, 2006, 514-516 : 754 - 758
[4] MAXWELL JC, TREATISE ELECT MAGN, V1
[5] Torquato S., 2002, RANDOM HETEROGENEOUS

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