Simple estimation on effective transport properties of a random composite material with cylindrical fibres

被引：18

作者：

Andrianov, I. V. ^{[1
]}

Danishevs'kyy, V. V. ^{[2
]}

Weichert, D. ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Allgemeine Mech, D-52062 Aachen, Germany

[2] Prydniprovska State Acad Civil Engn & Architectur, UA-49600 Dnepropetrovsk, Ukraine

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2008年 / 59卷 / 05期

关键词：

Random composite; effective properties; asymptotic methods; homogenization;

D O I：

10.1007/s00033-007-6146-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Improved bounds for effective transport properties of a random non-percolated composite with cylindrical fibres are developed by means of the security-spheres approach. The key point of the method is to obtain a solution for a regular composite that can be valid for all values of the volume fractions and properties of the components. For this aim we use the asymptotic homogenization method; a cell problem is solved by a modified version of the boundary shape perturbation technique.

引用

页码：889 / 903

页数：15

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