Abstract
Direct method for the solution of eddy current testing problem for the case where an air core coil is located above a conducting two-layer plate with a flaw in the form of a cylindrical inclusion with reduced electrical conductivity is presented in the paper. Semi-analytical approach (the TREE method) is used to construct the solution of the system of equations for the components of the vector potential. The flaw is assumed to be symmetric with respect to the coil. Numerical calculations are performed using the proposed model and Comsol Multiphysics software. The obtained values of the change in impedance of the coil for both methods are found to be in a good agreement. The proposed model can be used for the assessment of the effect of corrosion in metal plates.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Antimirov, M.Ya., Kolyshkin, A.A., Vaillancourt, R.: Mathematical Models for Eddy Current Testing. CRM, Montréal (1997)
He, Y., Tian, G., Alamin, M., Simm, A., Kackson, P.: Steel corrosion characterization using pulsed eddy current systems. IEEE Sensors J. 12, 2113–2120 (2012)
Koliskina, V., Kolyshkin, A.: Mathematical model for eddy current testing of metal plates with two cylindrical flaws. In: Leonowicz, Z. (ed.) Proceedings of the 15th International Conference on Environment and Electrical Engineering, pp. 374–377. Elsevier, Institute of Electrical and Electronics Engineers (2015)
Rodriguez, A.A., Valli, A.: Eddy Current Approximation of Maxwell Equations. Springer, New York (2010)
Skarlatos, A., Theodoulidis, T.: Solution to the eddy-current induction problem in a conducting half-space with a vertical cylindrical borehole. Proc. Roy. Soc. Lond. 468, 1758–1777 (2012)
Skarlatos, A., Theodoulidis, T.: Calculation of the eddy-current flow around a cylindrical through-hole in a finite thickness plate. IEEE Trans. Magn. 51(9), (2015). doi:10.1109/TMAG.2015.2426676
Tegopoulos, J.A., Kriezis, E.E.: Eddy Currents in Linear Conducting Media. Elsevier, Amsterdam (1985)
Theodoulidis, T.P., Kriezis, E.E.: Eddy Current Canonical Problems (with Applications to Nondestructive Evaluation). Tech Science Press, New York (2006)
Touzani, R., Rappaz, J.: Mathematical Models for Eddy Currents and Electrostatics. Springer, New York (2014)
Acknowledgements
This work was partially supported by the grant 632/2014 by the Latvian Council of Science.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Koliskina, V., Kolyshkin, A., Gordon, R., Märtens, O. (2017). Eddy Current Testing Models for the Analysis of Corrosion Effects in Metal Plates. In: Quintela, P., et al. Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry(), vol 26. Springer, Cham. https://doi.org/10.1007/978-3-319-63082-3_17
Download citation
DOI: https://doi.org/10.1007/978-3-319-63082-3_17
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-63081-6
Online ISBN: 978-3-319-63082-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)