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International audienceWe present in this paper a 3D electromagnetic formulation to describe two conductors in electric contact with each other, submitted to the field of a coil in which an AC current is flowing. One of the two conductors is described by the - formulation, the other conductor is described by the surface impedance boundary condition. The proposed coupled formulation has been validated with a numerical example with a simple geometry. This coupled formulation has then been applied to a numerical example on which a crack has to be detected. It is composed of a non magnetic tube embedded in a thick steel tube sheet, submitted to the field of a coil

Coupling t-ϕformulation with surface impedance boundary condition for eddy current crack detection