Two-Scale Asymptotic Expansions for Piezoelectric Problem in Periodic Structure of Composites

Yong Ping Feng; Ming Xiang Deng

doi:10.4028/www.scientific.net/AMR.261-263.918

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 261-263Two-Scale Asymptotic Expansions for Piezoelectric...

Two-Scale Asymptotic Expansions for Piezoelectric Problem in Periodic Structure of Composites

Abstract:

The fields of applications and design for piezoelectric effect grew rapidly in recent years, and these materials play an important role in countless areas of modern life. By means of two-scale method and based on the two-scale asymptotic expansions for the displacement and the potential for structure of composites with small periodic configuration under piezoelectric condition, the coupled relation between the displacement field and the electric field within periodic cell is built, and the approximate errors of the displacement and the potential are presented. As a result, one new method of higher order for computing approximate solutions of the displacement and the potential in periodic structure under condition of piezoelectricity is given.

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Periodical:

Advanced Materials Research (Volumes 261-263)

Pages:

918-922

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.261-263.918

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Online since:

May 2011

Authors:

Yong Ping Feng, Ming Xiang Deng

Keywords:

Asymptotic Analysis, Homogenization Constants, Periodic Structure, Two-Scale

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