Rigid sheet-like interface inclusion in an infinite bimaterial periodically layered composite

This paper presents a potential function method for solving three-dimensional interface inclusion problem of a two-layered periodic space, treated within the framework of linear elasticity with microlocal parameters. By constructing the appropriate harmonic functions, the resulting boundary-value problems involving a thin rigid interface inclusion are reduced to classical mixed problems of potential theory. Further, an integral equation formulation for an arbitrary shaped inclusion is given to be used in numerical techniques.