The problem of elastic stress and magnetic field concentration near the vertex of a compound wedge is modeled and investigated. The wedge is made of two isotropic dielectric soft-ferromagnetic materials and is immersed in a static magnetic field. The technique of eigenfunction series expansion is applied on the components of the elastic displacement field and the induced magnetic potentials near the vertex. It is shown that in this region, the magnetic susceptibility and the applied magnetic field have a strong influence on the elastic stress and magnetic field concentration. The results are instrumental toward actively controlling the stress concentration intensity via the applied magnetic field.

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