The problem of a circular layered inclusion, interacting with a generalized screw dislocation under remote anti-plane shear stress and in-plane magneto-electric loads, was investigated within the framework of the linear theory of magneto-electro-elasticity. The generalized dislocation could be located either in the matrix or in the circular layered inclusion. The layers were coaxial cylinders of annular cross-section with arbitrary radii and differing material properties. Using complex variable theory and the alternating technique, the solution of the present problem was expressed in terms of the solution of the corresponding homogeneous medium problem subjected to the same loading. Numerical methods were used to investigate the influence of material combinations on the shear stress, electric field, magnetic and image force. These solutions could be used as Green’s functions for the analysis of the corresponding magneto-electric crack problem.

A Magnetoelectric Screw Dislocation Interacting with a Circular Layered Inclusion. M.H.Shen: European Journal of Mechanics A, 2008, 27[3], 429-42