Abstract
We propose an efficient modeling technique for theoretical prediction of magnetic field distributions around an arbitrary shape surface-breaking crack in a metal, induced by an alternating-current-carrying wire of arbitrary shape. The finite-difference method is first used to solve the governing Laplace equation inside the crack region. The normal component of magnetic field at the crack opening is thus obtained to derive a closed-form solution in the Fourier domain for the regions outside the crack. To support the validity of the model, we compare experimental results with their theoretical counterparts
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