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

Philippe Beltrame (1, 2) , Noël Burais (1, 2)

1 AMPERE - Ampère
2 CEGELY - Centre de génie électrique de Lyon

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 cod 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.

Mots clés: eddy currents; non-destructive testing; evaluation

Domaines: Energie électrique; Modélisation et simulation

Philippe Beltrame, Noël Burais. 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, 2002, 21 (4), pp.519-533. ⟨10.1108/03321640210437789⟩. ⟨hal-00140341⟩