Two-Scale Asymptotic Expansions for Piezoelectric Problem in Periodic Structure of Composites
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.
Y. P. Feng and M. X. Deng, "Two-Scale Asymptotic Expansions for Piezoelectric Problem in Periodic Structure of Composites", Advanced Materials Research, Vols. 261-263, pp. 918-922, 2011