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

Geng-Dong Cheng; Yuan-Wu Cai; Liang Xu

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

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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.

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《力学学报：英文版》 |2013年第004期|550-556|共7页
作者
Geng-Dong Cheng; Yuan-Wu Cai; Liang Xu;
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作者单位

Dept.of Engineering Mechanics,Dalian University of Technology, 116023 Dalian, China;

Dept.of Engineering Mechanics,Dalian University of Technology, 116023 Dalian, China;

Dept.of Engineering Mechanics,Dalian University of Technology, 116023 Dalian, China;

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

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