Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I - Theory

被引：46
|
作者：
Parnell, W. J. [1 ]
Abrahams, I. D. [1 ]
机构：
[1] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2008年 / 56卷 / 07期
基金：
英国工程与自然科学研究理事会;
关键词：
microstructures; inhomogeneous material; asymptotic analysis; analytic fuuctions; homogenization;
D O I：
10.1016/j.jmps.2008.02.003
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The effective elastic properties of periodic fibre-reinforced media with complex microstructure are determined by the method of asymptotic homogenization via a novel solution to the cell problem. The solution scheme is ideally suited to materials with many fibres in the periodic cell. In this first part of the paper we discuss the theory for the most general situation-N arbitrarily anisotropic fibres within the periodic cell. For ease of exposition we then restrict attention to isotropic phases which results in a monoclinic composite material with 13 effective moduli and expressions for each of these are determined. In the second part of this paper we shall discuss results for a variety of specific microstructures. (c) 2008 Elsevier Ltd. All rights reserved.
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页码：2521 / 2540
页数：20
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