Homogenization of very rough interfaces separating two piezoelectric solids

The main aim of this paper is to derive homogenized equations in explicit form of the linear piezoelectricity in two-dimensional domains separated by an interface which highly oscillates between two parallel straight lines. First, the basic equations of the linear theory of piezoelectricity are written down in matrix form. Then, following the techniques presented recently by these authors, the explicit homogenized equation and the associate continuity condition, for generally anisotropic piezoelectric materials, are derived. They are thenwritten down in component formfor some specific cases. Since the obtained equations are totally explicit, they are significant in practical applications.