Two-Scale Analysis of One Class of Piezoelectric Problem in Periodic Structure

Abstract

Piezoelectric composite materials are widely applied to intelligence structures devices and equipments making in various kinds of complex environments and aerospace. In this paper, the two-scale asymptotic expansion of differential equations of one class of piezoelectric problem in periodic structure is given. Using two-scale asymptotic method and constructing the appropriate cell functions, we get the homogenization equation, two-scale asymptotic expansions, two-scale approximate solutions and asymptotic errors for the piezoelectric problem.