Two-scale Asymptotic Computations for Piezoelectric Problem in Perforated Structure Composites

Abstract

The piezoelectric materials play an important role in countless areas of modern life. By means of two-scale and coupled boundary layer method, the two-scale asymptotic computation for the displacement and the potential for structure of perforated composites under piezoelectric condition are constructed firstly, then the approximate solutions and corresponding approximate errors of the displacement and the potential are given, and some numerical results show the effectiveness of the method lastly.