Homogenisation with application to layered materials

被引：6
|
作者：
Patricio, M. [1 ]
Mattheij, R. [1 ]
de With, G. [2 ]
机构：
[1] Tech Univ Eindhoven, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
[2] Tech Univ Eindhoven, Dept Chem & Chem Engn, NL-5600 MB Eindhoven, Netherlands
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2008年 / 79卷 / 03期
关键词：
Homogenisation; Layered materials; Composites; Finite elements; Effective coefficients;
D O I：
10.1016/j.matcom.2007.12.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we are concerned with the elliptic PDEs with highly oscillating coefficients which model the behaviour of composite linear elastic materials. Analytical expressions for the effective coefficients are obtained for the case of layered materials using the theory of homogenisation. Some properties of the homogenised materials are analysed. An efficient algorithm for the numerical determination of the effective coefficients is proposed. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：288 / 305
页数：18
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