Abstract: The mechanical model for a set of dislocations in an elastic isotropic layer sandwiched between two adherends of different materials is presented. The superposition technique and the method of Airy function along with Fourier transform are used to obtain the elastic solution of a single dislocation in a three-layered material system. Finally by using superposition methods the combined interaction of dislocations and interfaces is analyzed.

Key words: layered materials, superposition, thickness effect, dislocations