Eddy Current in a Torus With Cracks,

 Induced by Time-Harmonic Magnetic Field

A schematic of this problem is shown in Figure 10 below. An eddy current is induced in a conductor by an externally imposed harmonic magnetic flux. The toroid conductor has four cracks through its depth. These cracks modify the electric and magnetic fields that would normally result were there no cracks, and this observation is the basis of non-destructive testing (NDT) using electromagnetics. Only one eighth of the whole domain is modeled. This 3D time-harmonic eddy current problem is solved using the ADINA-EM formulation. We show, in Figures 11 and 12 below, the band plots of the real and imaginary parts of the electric and magnetic field intensities. It can be seen that the cracks indeed change the direction and magnitude of both fields.

Figure 10  Eddy current in torus: schematic

Figure 11  Eddy current in torus: vector plot of ; real part (left) and imaginary part (right)

Figure 12  Eddy current in torus: plot of ; real part (left) and imaginary part (right)

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