Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing

Yurii I. Dzhezherya; Maxim V. Sorokin; Victor V. Lepekha; Serhii V. Cherepov

doi:doi:10.11648/j.wjap.20160102.14

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Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing

Yurii I. Dzhezherya, Maxim V. Sorokin, Victor V. Lepekha, Serhii V. Cherepov

Published in World Journal of Applied Physics (Volume 1, Issue 2)

Received: 13 September 2016 Accepted: 14 November 2016 Published: 16 December 2016

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Abstract

The aim of the electromagnetic non-destructive testing is the determination of structural defects in conductive materials by excitation of eddy-currents using an external alternating magnetic field and measuring a secondary field produced by these currents. For a reliable control of defects in a conductor it is necessary to find out how a certain form of defect distorts the primary magnetic field. For this purpose, we use the method of approximate calculation of the distribution of magnetic fields arising at eddy-currents flow around defects of a conductor. We consider the approximation when the thickness of a skin layer is much greater than the sizes of the defect. In this case the problem of determining the scattering fields splits into two independent stages. Initially the distribution of currents in the vicinity of the defect is determined. This stage is reduced to the Neumann problem for the Laplace equation. At the second stage the restore of the magnetic field using the found currents is performed. In the framework of the method two problems were resolved: we obtained the distributions of the magnetic field at current flow around surface defects in the form of a hemisphere and half of an oblate spheroid.

Published in	World Journal of Applied Physics (Volume 1, Issue 2)
DOI	10.11648/j.wjap.20160102.14
Page(s)	48-58
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Eddy-Current Non-destructive Testing, Electromagnetic Non-destructive Testing, Eddy-Currents, Current Distribution, Magnetic Field Distribution

References

[1]	R. I. Janus, Magnetic Defectoscopy, Moscow, Leningrad, Gostekhizdat, 1946 [in Russian].
[2]	N. N. Zatsepin and L. V. Korzhova, Magnetic Defectoscopy, Minsk, Science and Technology, 1981 [in Russian].
[3]	A. L. Dorofeev, Non-destructive Testing by the Eddy Currents Method, Moscow, Oborongiz, 1961 [in Russian].
[4]	H. G. Ramos, T. Rocha, A. L. Ribeiro, and D. Pasadas, GMR versus differential coils in velocity induced eddy current testing, Proceedings of IEEE International Instrumentation and Measurement Technology Conference (I2MTC), 2014.
[5]	A. L. Ribeiro, D. Pasadas, H. G. Ramos, and T. Rocha, Using Excitation Invariance in the Characterization of Defects by Eddy Current Image Constructions, Proc. International Conf. on Structural Integrity (ICONS), Kalpakkam, India, 2014.
[6]	H. G. Ramos, T. Rocha, A. L. Ribeiro, and D. Pasadas, Determination of Linear Defect Depths from Eddy Currents Disturbances, Proc. Review of Progress in Quantitative Nondestructive Evaluation (QNDE), Baltinore, United States, 2013.
[7]	L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, Moscow, Nauka, 1982 [in Russian].
[8]	V. Smite, Electrostatics and Electrodynamics, Moscow, Inostrannaya Literatura, 1954 [in Russian].
[9]	F. M. Morse and H. Feshbach, Methods of Theoretical Physics, Vol. 1-2, Moscow, Inostrannaya Literatura, 1958 [in Russian].
[10]	R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1-2, New York, Interscience Publishers, 1937.
[11]	ASM Handbook. Formerly Ninth Edition, Metals Handbook, Vol. 17. Non-destructive Evaluation and Quality Control, ASM International, p. 136-142.
[12]	L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Moscow, Nauka, 1986 [in Russian].
[13]	G. Lamb, Hydrodynamics, Cambridge, Cambridge University Press, 1932.
[14]	N. E. Kochin, I. A. Kibel, N. V. Rose, Theoretical Hydromechanics, Parts I and II, Moscow, State Publisher of Physical and Mathematical Literature, 1963 [in Russian].
[15]	N. N. Zatsepin and N. P. Benklevskaya, Russian Journal of Nondestructive Testing, Vol. 5, P. 103-112 (1969).
[16]	N. N. Zatsepin and N. P. Benklevskaya, Russian Journal of Nondestructive Testing, Vol. 6, P. 89-94 (1970).

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APA Style

Yurii I. Dzhezherya, Maxim V. Sorokin, Victor V. Lepekha, Serhii V. Cherepov. (2016). Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing. World Journal of Applied Physics, 1(2), 48-58. https://doi.org/10.11648/j.wjap.20160102.14

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ACS Style

Yurii I. Dzhezherya; Maxim V. Sorokin; Victor V. Lepekha; Serhii V. Cherepov. Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing. World J. Appl. Phys. 2016, 1(2), 48-58. doi: 10.11648/j.wjap.20160102.14

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AMA Style

Yurii I. Dzhezherya, Maxim V. Sorokin, Victor V. Lepekha, Serhii V. Cherepov. Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing. World J Appl Phys. 2016;1(2):48-58. doi: 10.11648/j.wjap.20160102.14

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@article{10.11648/j.wjap.20160102.14,
  author = {Yurii I. Dzhezherya and Maxim V. Sorokin and Victor V. Lepekha and Serhii V. Cherepov},
  title = {Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing},
  journal = {World Journal of Applied Physics},
  volume = {1},
  number = {2},
  pages = {48-58},
  doi = {10.11648/j.wjap.20160102.14},
  url = {https://doi.org/10.11648/j.wjap.20160102.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20160102.14},
  abstract = {The aim of the electromagnetic non-destructive testing is the determination of structural defects in conductive materials by excitation of eddy-currents using an external alternating magnetic field and measuring a secondary field produced by these currents. For a reliable control of defects in a conductor it is necessary to find out how a certain form of defect distorts the primary magnetic field. For this purpose, we use the method of approximate calculation of the distribution of magnetic fields arising at eddy-currents flow around defects of a conductor. We consider the approximation when the thickness of a skin layer is much greater than the sizes of the defect. In this case the problem of determining the scattering fields splits into two independent stages. Initially the distribution of currents in the vicinity of the defect is determined. This stage is reduced to the Neumann problem for the Laplace equation. At the second stage the restore of the magnetic field using the found currents is performed. In the framework of the method two problems were resolved: we obtained the distributions of the magnetic field at current flow around surface defects in the form of a hemisphere and half of an oblate spheroid.},
 year = {2016}
}

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TY - JOUR
T1 - Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing
AU - Yurii I. Dzhezherya
AU - Maxim V. Sorokin
AU - Victor V. Lepekha
AU - Serhii V. Cherepov
Y1 - 2016/12/16
PY - 2016
N1 - https://doi.org/10.11648/j.wjap.20160102.14
DO - 10.11648/j.wjap.20160102.14
T2 - World Journal of Applied Physics
JF - World Journal of Applied Physics
JO - World Journal of Applied Physics
SP - 48
EP - 58
PB - Science Publishing Group
SN - 2637-6008
UR - https://doi.org/10.11648/j.wjap.20160102.14
AB - The aim of the electromagnetic non-destructive testing is the determination of structural defects in conductive materials by excitation of eddy-currents using an external alternating magnetic field and measuring a secondary field produced by these currents. For a reliable control of defects in a conductor it is necessary to find out how a certain form of defect distorts the primary magnetic field. For this purpose, we use the method of approximate calculation of the distribution of magnetic fields arising at eddy-currents flow around defects of a conductor. We consider the approximation when the thickness of a skin layer is much greater than the sizes of the defect. In this case the problem of determining the scattering fields splits into two independent stages. Initially the distribution of currents in the vicinity of the defect is determined. This stage is reduced to the Neumann problem for the Laplace equation. At the second stage the restore of the magnetic field using the found currents is performed. In the framework of the method two problems were resolved: we obtained the distributions of the magnetic field at current flow around surface defects in the form of a hemisphere and half of an oblate spheroid.
VL - 1
IS - 2
ER -

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Author Information

Yurii I. Dzhezherya

Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Vernadsky Blvd, Kyiv, Ukraine
Maxim V. Sorokin

Institute of Mathematical Machines and Systems Problems, National Academy of Sciences of Ukraine, Glushkova Ave, Kyiv, Ukraine
Victor V. Lepekha

Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Vernadsky Blvd, Kyiv, Ukraine
Serhii V. Cherepov

Institute of Magnetism, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Vernadsky Blvd, Kyiv, Ukraine

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APA Style

Yurii I. Dzhezherya, Maxim V. Sorokin, Victor V. Lepekha, Serhii V. Cherepov. (2016). Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing. World Journal of Applied Physics, 1(2), 48-58. https://doi.org/10.11648/j.wjap.20160102.14

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ACS Style

Yurii I. Dzhezherya; Maxim V. Sorokin; Victor V. Lepekha; Serhii V. Cherepov. Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing. World J. Appl. Phys. 2016, 1(2), 48-58. doi: 10.11648/j.wjap.20160102.14

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AMA Style

Yurii I. Dzhezherya, Maxim V. Sorokin, Victor V. Lepekha, Serhii V. Cherepov. Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing. World J Appl Phys. 2016;1(2):48-58. doi: 10.11648/j.wjap.20160102.14

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@article{10.11648/j.wjap.20160102.14,
  author = {Yurii I. Dzhezherya and Maxim V. Sorokin and Victor V. Lepekha and Serhii V. Cherepov},
  title = {Calculation of Scattering Magnetic Fields, Arising at Current Flow Around Defects, as Applied to Electromagnetic Non-destructive Testing},
  journal = {World Journal of Applied Physics},
  volume = {1},
  number = {2},
  pages = {48-58},
  doi = {10.11648/j.wjap.20160102.14},
  url = {https://doi.org/10.11648/j.wjap.20160102.14},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wjap.20160102.14},
  abstract = {The aim of the electromagnetic non-destructive testing is the determination of structural defects in conductive materials by excitation of eddy-currents using an external alternating magnetic field and measuring a secondary field produced by these currents. For a reliable control of defects in a conductor it is necessary to find out how a certain form of defect distorts the primary magnetic field. For this purpose, we use the method of approximate calculation of the distribution of magnetic fields arising at eddy-currents flow around defects of a conductor. We consider the approximation when the thickness of a skin layer is much greater than the sizes of the defect. In this case the problem of determining the scattering fields splits into two independent stages. Initially the distribution of currents in the vicinity of the defect is determined. This stage is reduced to the Neumann problem for the Laplace equation. At the second stage the restore of the magnetic field using the found currents is performed. In the framework of the method two problems were resolved: we obtained the distributions of the magnetic field at current flow around surface defects in the form of a hemisphere and half of an oblate spheroid.},
 year = {2016}
}

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