Non-local constitutive equations for functionally graded materials

被引：19

作者：

Luciano, R

Willis, JR

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Univ Cassino, DiMSAT, I-03043 Cassino, FR, Italy

来源：

MECHANICS OF MATERIALS | 2004年 / 36卷 / 12期

关键词：

microstructures; constitutive behaviour; inhomogeneous material; energy methods; integral transforms; probability and statistics;

D O I：

10.1016/j.mechmat.2002.10.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, composites with a graded distribution of heterogeneities are considered. The heterogeneities vary in statistically non-uniform fashion since in a finite layer (or region) properties such as local volume fraction vary gradually. In order to study this class of composites, a procedure of analysis which leads to the effective constitutive non-local operator of the medium is proposed. For two-phase composites, an approximation of Hashin-Shtrikman type for this operator has been obtained in real space and this has been developed explicitly in the case of laminates. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1195 / 1206

页数：12

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