Novel implementation of homogenization method to predict effective properties of periodic materials

被引：162

作者：

Cheng, Geng-Dong ^{[1
]}

Cai, Yuan-Wu ^{[1
]}

Xu, Liang ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Engn Mech, Dalian 116023, Peoples R China

来源：

ACTA MECHANICA SINICA | 2013年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Effective property; Periodic material; Homogenization; RVE method; TOPOLOGY OPTIMIZATION; COMPOSITE-MATERIALS; DESIGN;

D O I：

10.1007/s10409-013-0043-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Representative volume element (RVE) method and asymptotic homogenization (AH) method are two widely used methods in predicting effective properties of periodic materials. This paper develops a novel implementation of the AH method, which has rigorous mathematical foundation of the AH method, and also simplicity as the RVE method. This implementation can be easily realized using commercial software as a black box, and can use all kinds of elements available in commercial software to model unit cells with rather complicated microstructures, so the model may remain a fairly small scale. Several examples were carried out to demonstrate the simplicity and effectiveness of the new implementation.

引用

页码：550 / 556

页数：7

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