Application of regularisation method of quasi‐singular integrals to compute eddy current distribution near cracks

Abstract

For thin cracks, in eddy current testing (ECT), the field‐flaw interaction is equivalent to a current dipole layer on its surface. The dipole density is the solution of an integral equation with a hyperstrong kernel. The variation of coil impedance and eddy current distribution is directly obtained from this density by a surface integration. There is a numerical difficulty to evaluate accurately integrals for the current density near the crack. In fact, due to the singular kernel of a dyadic Green function, the integration is quasi‐singular. A specific regularisation algorithm is developed to overcome this problem and applied to represent eddy current distribution between two cracks.

Citation

Beltrame, P. and Burais, N. (2002), "Application of regularisation method of quasi‐singular integrals to compute eddy current distribution near cracks", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 21 No. 4, pp. 519-533. https://doi.org/10.1108/03321640210437789