Abstract Deforming a cracked magnetoelastic body in a magnetic
field induces a perturbed magnetic field around the crack. The
quantitative relationship between this perturbed field and the
stress around the crack is crucial in developing a new generation
of magnetism-based nondestructive testing technologies. In this
paper, an analytical expression of the perturbed magnetic field
induced by structural deformation of an infinite ferromagnetic
elastic plate containing a centered crack in a weak external
magnetic field is obtained by using the linearized magnetoelastic
theory and Fourier transform methods. The main finding is that the
perturbed magnetic field intensity is proportional to the applied
tensile stress, and is dominated by the displacement gradient on
the boundary of the magnetoelastic solid. The tangential component
of the perturbed magnetic-field intensity near the crack exhibits
an antisymmetric distribution along the crack that reverses its
direction sharply across its two faces, while the normal component
shows a symmetric distribution along the crack with singular
points at the crack tips.
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