Iterated two-scale asymptotic method and numerical algorithm for the elastic structures of composite materials

被引：38

作者：

Cao, LQ ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 27-29期

基金：

中国国家自然科学基金;

关键词：

iterated two-scale asymptotic expansion; homogenization; reiterated homogenization; composite materials; finite element method;

D O I：

10.1016/j.cma.2004.07.023

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we shall discuss the elasto-static problem of composite materials with two or more different length scales, and shall present iterated two-scale asymptotic expansion of the solution for considering problem. The mathematical proofs of some convergence theorems will be given under some assumptions. Finally, some numerical results are reported. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：2899 / 2926

页数：28

共 22 条

[1] Multiscale convergence and reiterated homogenisation [J].