Analytical Solution of Perturbed Magnetic Fields of Plane Crack

Based on the linearized magnetoelastic theory, an infinite ferromagnetic elastic plate containing a central crack was considered, and the perturbed magnetic fields generated by structural deformation under magnetic fields perpendicular to the crack was analyzed by applying Fourier transform method. The results show that the perturbed magnetic field intensity is proportional to the applied tensile stress, and it is dominated by the displacement gradient on the boundary of the magnetoelastic solid. As for the magnetic intensity components to the boundary of the structure, the tangent shows antisymmetric distribution along the crack and inverses its direction sharply at the two faces of the crack, while the normal shows symmetric distribution along the crack and presents singular points at the crack tips.