Effective conductivity of random two-dimensional composites with circular non-overlapping inclusions

被引：38

作者：

Czapla, Roman ^{[1
]}

Nawalaniec, Wojciech ^{[1
]}

Mityushev, Vladimir ^{[1
]}

机构：

[1] Pedag Univ, Dept Comp Sci & Comp Methods, PL-30084 Krakow, Poland

来源：

COMPUTATIONAL MATERIALS SCIENCE | 2012年 / 63卷

关键词：

Effective conductivity; Non-overlapping disks; Random inclusions; TRANSPORT-PROPERTIES; PERIODIC ARRAYS; CYLINDER PAIRS; SQUARE ARRAY;

D O I：

10.1016/j.commatsci.2012.05.058

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the effective conductivity of equal unidirectional infinite circular cylinders randomly distributed in a uniform host (disks on the plane). The problem is reduced to a boundary value problem for the two-dimensional Laplace equation. A symbolic-numerical algorithm was proposed in the previous papers to solve the boundary value problem with arbitrary deterministic locations of disks. Application of the Monte Carlo method for the uniform non-overlapping distribution of disks yields the effective conductivity of random composites. The expected value of the effective conductivity is written exactly in the form of a power series in the concentration. This formula is valid for all concentrations. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：118 / 126

页数：9

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