Effective parameters of elastic composites

被引：26
|
作者：
Ammari, Habib [1 ]
Kang, Hyeonbae
Lim, Mikyoung
机构：
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
[2] Seoul Natl Univ, Sch Math Sci, Seoul 151747, South Korea
来源：
INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2006年 / 55卷 / 03期
关键词：
effective properties; composite elastic materials; layer potentials; elastic moment tensor;
D O I：
10.1512/iumj.2006.55.2681
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present a simple and rigorous scheme for the derivation of accurate asymptotic expansions of the effective elastic parameters of periodic dilute two-phase composites in terms of the elastic moment tensor and the volume fraction occupied by the elastic inclusions. Our derivations are based on layer potential techniques, and valid for inclusions with Lipschitz boundaries and even when the phase moduli differ significantly.
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页码：903 / 922
页数：20
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