Acta Mechanica Sinica

, Volume 29, Issue 4, pp 550–556 | Cite as

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

  • Geng-Dong ChengEmail author
  • Yuan-Wu Cai
  • Liang Xu
Research Paper


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.


Effective property Periodic material Homogenizatio RVE method 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Dept. of Engineering MechanicsDalian University of TechnologyDalianChina

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