Field distributions around arbitrary shape surface cracks in metals, induced by high-frequency alternating-current-carrying wires of arbitrary shape

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