A. Auld, F. Muennemann, and D. Winslow, Eddy current probe response to open and closed surface flaws, Journal of Nondestructive Evaluation, vol.4, issue.1, pp.1-21, 1981.
DOI : 10.1007/BF00614993

R. Albanese and G. Rubinacci, Finite Element Methods for the Solution of 3d Eddy Current Problems Advances in Imaging and Electron Physics, pp.1-86, 1997.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, 1965.

]. C. Bal89 and . Balanis, Advanced Engineering Electromagnetics, 1989.

J. Bowler, S. Norton, and D. Harrison, Eddy???current interaction with an ideal crack. II. The inverse problem, Journal of Applied Physics, vol.75, issue.12, pp.8138-8144, 1994.
DOI : 10.1063/1.356512

]. J. Bow94 and . Bowler, Eddy-current interaction with an ideal crack. I. The forward problem, Journal of Applied Physics, vol.75, issue.12, pp.8128-8137, 1994.

J. Bowler and T. Theodoulidis, Eddy currents induced in a conducting rod of finite length by a coaxial encircling coil, Journal of Physics D: Applied Physics, vol.38, issue.16, pp.2861-2868, 2005.
DOI : 10.1088/0022-3727/38/16/019

J. Bowler and T. Theodoulidis, Coil impedance variation due to induced current at the edge of a conductive plate, Journal of Physics D: Applied Physics, vol.39, issue.13, pp.2862-2868, 2006.
DOI : 10.1088/0022-3727/39/13/035

J. Bowler and T. Theodoulidis, Boundary Element Calculation of Eddy Currents in Cylindrical Structures Containing Cracks, IEEE Transactions on Magnetics, vol.45, issue.3, pp.1012-1015, 2009.
DOI : 10.1109/TMAG.2009.2012543

J. Bowler, T. Theodoulidis, and N. Poulakis, Eddy Current Probe Signals Due to a Crack at a Right-Angled Corner, IEEE Transactions on Magnetics, vol.48, issue.12, pp.4735-4746, 2012.
DOI : 10.1109/TMAG.2012.2203918

J. Bowler, T. Theodoulidis, H. Xie, and Y. Ji, Evaluation of Eddy-Current Probe Signals Due to Cracks in Fastener Holes, IEEE Transactions on Magnetics, vol.48, issue.3, pp.1159-1170, 2012.
DOI : 10.1109/TMAG.2011.2170084

W. Chew, Waves and Fields in Inhomogenous Media, 1995.
DOI : 10.1109/9780470547052

L. Delves and J. Lyness, A numerical method for locating the zeros of an analytic function, Mathematics of Computation, vol.21, issue.100, pp.543-560, 1967.
DOI : 10.1090/S0025-5718-1967-0228165-4

W. Dunbar, The volume integral method of eddy-current modeling: Verification, Journal of Nondestructive Evaluation, vol.1, issue.1-2, pp.9-14, 1985.
DOI : 10.1007/BF00565776

W. Dunbar, The volume integral method of eddy-current modeling: Verification, Journal of Nondestructive Evaluation, vol.1, issue.1-2, pp.43-54, 1988.
DOI : 10.1007/BF00565776

M. Filtz and A. Nethe, Some remarks on solving the problem of three-dimensional eddy currents in circular cylinders of finite length, Archiv f??r Elektrotechnik, vol.55, issue.3, pp.195-200, 1993.
DOI : 10.1007/BF01573692

]. D. Gri99 and . Griffiths, Introduction to Electrodynamics, N.J, 1999.

J. Knopp and J. Aldrin, Numerical and Experimental Study of Eddy Current Crack Detection around Fasteners in Multi-Layer Structures, AIP Conference Proceedings, pp.336-343, 2004.
DOI : 10.1063/1.1711642

J. Knopp and J. Aldrin, Computational methods in eddy current crack detection at fastener sites in multi-layer structures, Nondestructive Testing and Evaluation, vol.69, issue.1-2, pp.103-120, 2009.
DOI : 10.1109/20.877614

J. Kim, M. Le, and J. Lee, Non-destructive evaluation of far-side corrosion around the multi-layered rivet by using the solid-state hall sensor array, 2014 IEEE Sensors Applications Symposium (SAS), pp.42-46, 2014.
DOI : 10.1109/SAS.2014.6798914

J. Lyness, Numerical algorithms based on the theory of complex variable, Proceedings of the 1967 22nd national conference on -, pp.125-133, 1967.
DOI : 10.1145/800196.805983

. Mrt-+-13-]-r, C. Miorelli, T. Reboud, N. Theodoulidis, D. Poulakis et al., Efficient modeling of ECT signals for realistic cracks in layered half-space, IEEE Transactions on Magnetics, vol.49, issue.6, pp.2886-2892, 2013.

]. R. Mrt14a, C. Miorelli, T. Reboud, and . Theodoulidis, 2013 eddy current benchmark problem: Solution via a coupled integral approach, AIP Conference Proceedings, pp.2086-2092, 2014.

. Mrt-+-14b-]-r, C. Miorelli, T. Reboud, J. Theodoulidis, N. Martinos et al., Coupled approach VIM-BEM for efficient modeling of ECT signal due to narrow cracks and volumetric flaws in planar layered media, NDT & E International, vol.62, pp.178-183, 2014.

M. Morozov, G. Rubinacci, A. Tamburrino, and S. Ventre, Evaluation of subsurface cracks in riveted aluminium joints using industrial eddy current instrumentation, Electromagnetic Non-Destructive Evaluation (XI) Studies in Applied Electromagnetics and Mechanics, pp.187-194, 2008.

S. Paillard, Y. Choua, G. Pichenot, Y. Bihan, M. Lambert et al., MODELLING OF FLAWED RIVETED STRUCTURES FOR EC INSPECTION IN AERONAUTICS, AIP Conference Proceedings, pp.217-224, 2008.
DOI : 10.1063/1.2902713
URL : https://hal.archives-ouvertes.fr/hal-00761552

J. Pávó and D. Lesselier, Calculation of eddy current testing probe signal with global approximation, IEEE Transactions on Magnetics, vol.42, issue.4, pp.1419-1422, 2006.
DOI : 10.1109/TMAG.2006.872490

]. A. Spl-+-08, G. Skarlatos, D. Pichenot, M. Lesselier, B. Lambert et al., Electromagnetic modeling of a damaged ferromagnetic metal tube by a volume integral equation formulation, IEEE Transactions on Magnetics, vol.44, issue.5, pp.623-632, 2008.

T. [. Skarlatos and . Theodoulidis, Solution to the eddy-current induction problem in a conducting half-space with a vertical cylindrical borehole, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.46, issue.2062, pp.4681758-1777, 2012.
DOI : 10.1098/rspa.2005.1509

A. Skarlatos and T. Theodoulidis, Calculation of the Eddy-Current Flow Around a Cylindrical Through-Hole in a Finite-Thickness Plate, IEEE Transactions on Magnetics, vol.51, issue.9, pp.1-1, 2015.
DOI : 10.1109/TMAG.2015.2426676

A. J. Stratton, Electromagnetic Theory, 1941.
DOI : 10.1002/9781119134640

T. P. Theodoulidis and J. R. Bowler, Impedance of an induction coil at the opening of a borehole in a conductor, Journal of Applied Physics, vol.103, issue.2, pp.1-9, 2008.
DOI : 10.1063/1.2827459

]. T. The10 and . Theodoulidis, Developments in efficiently modelling eddy current testing of narrow cracks, NDT & E International, vol.43, issue.7, pp.591-598, 2010.

T. Theodoulidis and E. Kriezis, Eddy Current Canonical Problems, 2006.

P. [. Udpa and . Moore, Nondestructive Testing Handbook, 2004.

]. G. Yang, Z. Zeng, Y. Deng, X. Liu, L. Udpa et al., 3D EC-GMR sensor system for detection of subsurface defects at steel fastener sites, NDT & E International, vol.50, pp.20-28
DOI : 10.1016/j.ndteint.2012.04.007