Equilibrium of a screw dislocation near the interface in a coated solid

A Fourier-transform-based method for the calculation of stresses produced by dislocations in multilayer materials is proposed. In order to illustrate the approach proposed, the components of the stress tensor of a screw dislocation in a solid with a coating have been calculated and the equilibrium position of the dislocation near the interface has been determined. It is demonstrated that the ratio α = a / l of the equilibrium position a of the dislocation to the coating thickness l is asymptotically proportional to the ratio q = μ 1 /μ 2 of the shear moduli of the coating and the substrate material.