Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2010, Article ID 163420, 21 pages
Research Article

Nondestructive Testing of Metallic Cables Based on a Homogenized Model and Global Measurements

1Research Group for Numerical Analysis and Mathematical Modelling, Department of Mathematical Analysis, Galglaan 2, 9000 Gent, Belgium
2Department of Electrical Energy, Systems and Automation, Ghent University, Sint-Pietersnieuwstraat 41, 9000 Gent, Belgium
3Department of Electrotechnology, Faculty of Applied Engineering Sciences, University College Ghent, Schoonmeersstraat 52, 9000 Gent, Belgium

Received 16 July 2010; Revised 21 October 2010; Accepted 21 December 2010

Academic Editor: Dane Quinn

Copyright © 2010 Valdemar Melicher and Peter Sergeant. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. V. Melicher and P. Sergeant, “Homogenized eddy current model for non-destructive testing of metallic cables,” submitted.
  2. G. Tian, Z. Zhao, and R. Baines, “The research of inhomogeniety in eddy current sensors,” Sensors and Actuators A, vol. 69, pp. 148–151, 1998. View at Google Scholar
  3. E. Cardelli, A. Faba, R. Specogna, A. Tamburrino, F. Trevisan, and S. Ventre, “Analysis methodologies and experimental benchmarks for eddy current testing,” IEEE Transactions on Magnetics, vol. 41, no. 5, pp. 1380–1383, 2005. View at Publisher · View at Google Scholar
  4. Y. Li, T. Theodoulidis, and G. Y. Tian, “Magnetic field-based eddy-current modeling for multilayered specimens,” IEEE Transactions on Magnetics, vol. 43, no. 11, pp. 4010–4015, 2007. View at Publisher · View at Google Scholar
  5. V. Cacciatore, A. Canova, A. Vallan, and B. Vusini, “Experience and technologies in ndt of ropes,” in Proceedings of the 7th International Conference on Damage Assessment of Structures (Damas '07), L. Garibaldi, C. Surace, K. Holford, and W. Ostachowicz, Eds., vol. 347 of Engineering Materials, Trans Tech Publications, Torino, Italy, 2007.
  6. A. Canova and B. Vusini, “Magnetic analysis of non-destructive testing detectors for ferromagnetic ropes,” The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, vol. 27, no. 4, pp. 869–878, 2008. View at Publisher · View at Google Scholar
  7. V. Isakov, Inverse Problems for Partial Differential Equations, vol. 127 of Applied Mathematical Sciences, Springer, New York, NY, USA, 1998. View at Zentralblatt MATH
  8. K. Sungwhan and Y. Masahiro, “Uniqueness in the two-dimensional inverse conductivity problems of determining convex polygonal supports: case of variable conductivity,” Inverse Problems, vol. 20, no. 2, pp. 495–506, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  9. A. Abou-Elyazied Abdallh, P. Sergeant, G. Crevecoeur, L. Vandenbossche, and L. Dupre, “Magnetic material identification in geometries with non uniform electromagnetic fields using global and local magnetic measurements,” IEEE Transactions on Magnetics, vol. 45, pp. 4157–4160, 2009. View at Google Scholar
  10. G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, London, UK, 1922.
  11. K. Levenberg, “A method for the solution of certain non-linear problems in least squares,” Quarterly of Applied Mathematics, vol. 2, pp. 164–168, 1944. View at Google Scholar · View at Zentralblatt MATH
  12. D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” Journal of the Society for Industrial and Applied Mathematics, vol. 11, pp. 431–441, 1963. View at Google Scholar · View at Zentralblatt MATH
  13. M. Lourakis, “levmar: Levenberg-marquardt nonlinear least squares algorithms in C/C++,” 2004,