Modeling and Simulation for 3D Eddy Current Testing in Conducting Materials

Authors: S. Bennoud, M. Zergoug

Abstract:

The numerical simulation of electromagnetic interactions is still a challenging problem, especially in problems that result in fully three dimensional mathematical models.

The goal of this work is to use mathematical modeling to characterize the reliability and capacity of eddy current technique to detect and characterize defects embedded in aeronautical in-service pieces.

The finite element method is used for describing the eddy current technique in a mathematical model by the prediction of the eddy current interaction with defects. However, this model is an approximation of the full Maxwell equations.

In this study, the analysis of the problem is based on a three dimensional finite element model that computes directly the electromagnetic field distortions due to defects.

Keywords: Eddy current, Finite element method, Non destructive testing, Numerical simulations.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1092165

References:

[1] Pingjie Huanga, Guangxin Zhanga, Zhaotong Wub, Jinhui Caia, Zekui Zhoua, "Inspection of defects in conductive multi-layered structures by an eddy current scanning technique: Simulation and experiments”, NDT&E International, vol 39, 578-584, 2006.
[2] S Bennoud, and M Zergoug, "The non destructive testing methods applied to detect cracks in the hot section of a turbojet”, Applied Mechanics and Materials, vol 61, 79-83, 2011.
[3] M. Zergoug, N. Boucherrou, A. Hammouda, and G. Kamel, "Characterization of multilayer corrosion by pulsed eddy current”, 3rd MENDT, Middle East Nondestructive Testing Conference and Exhibition, Bahrain, Manama, 2005, online: www.ndt.net.
[4] B. Helifa, A. Oulhadj, A. Benbelghit, I. K. Lefkaier, F. Boubenider and D. Boutassouna, "Detection and measurement of surface cracks in ferromagnetic materials using eddy current testing”, NDT & E international, vol 39(1), 384-390, 2006.
[5] A. Rosell and G. Persson, "Modeling a differential sensor in eddy current non-destructive evaluation”. Proceedings of the COMSOL Conference 2011. COMSOL Conference (Stuttgart, Germany), 2011.
[6] C. Dodd and W. Deeds, "Analytical solutions to eddy-current probe-coil problems”. Journal of Applied Physics, vol 39(6), 2829-2838, 1968.
[7] N. Ida, K. Betzoid and W. Lord , "Finite element modeling of absolute eddy current probe signals”, Journal of Nondestructive Evaluation, vol 3(3), 147-154, 1982.
[8] N. Ida, Numerical modeling for electromagnetic non-destructive evaluation. Engineering NDE, Chapman & Hall, UK, 1995.
[9] O. Bıro,. "Edge element formulations of eddy current problems”. Comput. Methods Appl. Mech. Eng, vol 169(3–4), 391-405, 1999.
[10] A. Bossavit, Computational Electromagnetism. Variational Formulation Complementarity, Edge Elements, Academic Press, USA, 1998.
[11] Hartmut Brauer, Marek Ziolkowski, "Eddy current testing of metallic sheets with defects using force measurements”. Serbian Journal of Electrical Engineering, vol. 5(1), 11-20, 2008.
[12] S. Bennoud, M. Zergoug, "Modeling and development of simulations of eddy current testing for plate parts”, Advanced Science Letters, Adv. Sci. Lett, vol 15, 22-24, 2012.
[13] S. Bennoud, M. Zergoug, A. Allali, "Numerical simulation for cracks detection using the finite elements method”, Int. Journal. of Multiphysics, vol 8, 1-10, 2014.