Homogenization of Rough Two-Dimensional Interfaces Separating Two Anisotropic Solids

Abstract

In this paper we have derived homogenized equations in explicit form of the linear elasticity theory in a two-dimensional domain with an interface highly oscillating between two straight lines, by using the homogenization method. First, the homogenized equation in the matrix form for generally anisotropic materials is obtained. Then, it is written down in the component form for specific cases when the materials are orthotropic, monoclinic with the symmetry plane at X1=0 and X2=0. Since these equations are in explicit form, they are significant in practical applications.