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Journal of Nondestructive Evaluation

, Volume 4, Issue 1, pp 29–38 | Cite as

Eddy current solutions applicable to the problem of nondestructive inspection of flat and cylindrical surface layer

  • Ton Tran-Cong
Article
  • 42 Downloads

Abstract

Nondestructive inspection of flat and long cylindrical metallic-surface layers is conveniently dealt with using the results of wave propagations in a one-dimensionally stratified medium. Analytical solutions for some special profiles are obtained, and perturbation technique is used to obtain results for more frequently encountered profiles.

Key words

NDE eddy currents surface layers stratification 

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References

  1. 1.
    H. Hochschild, Electromagnetic methods of testing metals,Progress in Appl. Mater. Res. 1:59–109 (1959).Google Scholar
  2. 2.
    K. A. Fowler and H. P. Hatch, Non destructive determination of case depth of carburized steel by harmonic voltage analysis,Mat. Eval. 145–149 (1966).Google Scholar
  3. 3.
    H. P. Hatch and K. A. Fowler,Development in the Harmonic Analysis Method for the Non Destructive Determination of Case Depth of Carburized Steel, Technical Report SA-TR19-1520, AMCMS CODE 4930.1, (Springfield Armory, Springfield, Massachusetts, May 20, 1966).Google Scholar
  4. 4.
    H. P. Hatch and K. A. Fowler,Electromagnetic Method of Non Destructively Examining Components for Excessive Decarburization, Technical Report SA-TR 19-1508, AMCMS CODE 4230.6018, 60.01, Springfield Armory, Springfield, Massachusetts, April 14, 1964.Google Scholar
  5. 5.
    H. Larson, Multifrequency eddy current testing of case hardened cylinders, A theoretical and experimental analysis,Eur. Vortrags. Zerstor. Materi. 20:199–206 (1978).Google Scholar
  6. 6.
    H. Larson, Eddy current testing of surface hardened material,Eighth World Conference on Non Destructive Testing (1976).Google Scholar
  7. 7.
    N. N. Zatsepin, On certain new magnetic and electromagnetic non destructive testing methods and aids,Ninth World Conference on Non Destructive Testing (1977).Google Scholar
  8. 8.
    S. Kh. Passi, S. B. Biryukov, A. V. Zusman, and V. B. Ginzburg, An electroinduction multifrequency unit for determining the depth of decarburization of bearing steel bars,Defektoskopiya 8:67–76 (1972).Google Scholar
  9. 9.
    G. M. Popov, Device for testing the surface decarburization of calibrated pack steel,Defektoskopiya 7:22–29 (1971).Google Scholar
  10. 10.
    F. N. Nuriev, G. V. Zaitsev, and V. A. Charov, Instrument for measuring the thickness of decarburized layers,Defektoskopiya 6:80–85 (1970).Google Scholar
  11. 11.
    M. N. Mikheev, B. M. Neizvestnov, G. V. Bida, G. V. Surin, and V. M. Morozova, Magnetic inspection of heat treatment quality of large bearing parts,Defektoskopiya 13:140–143 (1977).Google Scholar
  12. 12.
    M. N. Mikheev, E. S. Gorkunov, and F. N. Dunaev, Non destructive magnetic inspection of hardened and tempered parts of low-alloy constructional and plain carbon steels, Parts I and II,Defektoskopiya 13:7–18 (1977).Google Scholar
  13. 13.
    M. N. Mikheev, E. S. Gorkunov, V. V. Grebenschikov, N. V. Remez, and M. P. Shchetkova, Electromagnetic inspection of heat treated small parts of grade 40Kh steel for hardness,Defektoskopiya 14:62–68 (1978).Google Scholar
  14. 14.
    M. N. Mikheev, B. M. Neizvestnov, V. M. Morozova, and G. V. Surin, Coercimeters with attached electromagnets,Defektoskopiya 5:131–133 (1969).Google Scholar
  15. 15.
    M. N. Mikheev and G. Gorkunov, Magnetic methods of monitoring quality of heat-Treatment,Ninth World Conference on Non Destructive Testing (1977).Google Scholar
  16. 16.
    V. A. Sandovskii and Sh. G. Battalov, Determining the mechanical strength of steels from the spectral content of the EMF generated by a coil with a ferromagnetic core,Defektoskopiya 11:78–82 (1975).Google Scholar
  17. 17.
    E. Peterson, Harmonic production in ferromagnetic materials at low frequencies and low flux densities,Bell System Technical Journal 7:762–796 (1928).Google Scholar
  18. 18.
    A. D. Pokrovskii and Yu. P. Khvalebnov, Analysis of the higher harmonic signals of measuring transducers,Defektoskopiya 13:83–88 (1977).Google Scholar
  19. 19.
    H. G. Beech, Case depth measurement by eddy current technique,Heat Treatment of Metals 1:22–26 (1975).Google Scholar
  20. 20.
    M. M. Belenkova, An instrument for measuring the depth of nitrided layer on austenic steel parts,Defektoskopiya 14:68–74, (1978).Google Scholar
  21. 21.
    V. V. Levitin, Testing the surface decarburization of calibrated Sh Kh 15 steel bars,Defektoskopiya 6:25–32 (1970).Google Scholar
  22. 22.
    E. V. Aronson, G. V. Bida, V. M. Kamardin, M. N. Mikheev, and D. M. Poner, Magnetic test of mechanical properties of rolled 20K and 0962 steel sheets,Defektoskopiya 13:, 121–124, (1977).Google Scholar
  23. 23.
    M. K. Balabanova, V. V. Vlasov, A. F. Dubkov, and Yu. S. Subbottin, Use of an electromagnetic induction flaw detector with a striding search system for checking the depth of surface decarburization of bearing steel rods,Defektoskopiya 5:84–91 (1969).Google Scholar
  24. 24.
    C. Flambard, Non destructive testing of heat treatment penetration,Mechanique — Materiaux — Electricite', No. 317 (1976).Google Scholar
  25. 25.
    A. Ya. Rachok, The effect of depth of decarburization layers of ball bearing steel on the impedance of a feed-through coil,Defektoskopiya 1: Part 5, 57–61 (1965).Google Scholar
  26. 26.
    I. V. Mel'nikov, L. A. Savikovskii, E. N. Semenov, and A. N. Filippovich, Eddy current inspection of the hardening and tempering quality of thin walled bearing races,Defektoskopiya No. 6, 41–47 (1977).Google Scholar
  27. 27.
    N. M. Rodigin, L. S. Pravdin, V. P. Syrochkin, B. A. Sirotkin, R. N. Utochkin, and V. D. Sukhanov, Inspection of work hardening of steel shafts by the eddy current method, Part I, II, and III,Defektoskopiya 6:117–130 (1970).Google Scholar
  28. 28.
    D. Hadfield, Magnetic measurement of the hardness of metals,Metal Treatment and Drop Forging 22:153–159 (1955).Google Scholar
  29. 29.
    R. C. McMaster, W. C. Harmon, and D. G. Pullen, Eddy current inspection (non destructive testing part),Metals Handbook, (Ronald, New York, 1959)Google Scholar
  30. 30.
    J. R. Wait,Electromagnetic Waves in Stratified Media, (Pergamon Press, Oxford, 1970).Google Scholar
  31. 31.
    J. R. Wait and R. L. Gardner, Electromagnetic nondestructive testing of cylindrically layered conductors,IEEE Inst. & Meas. IM-28, 159–161 (1979).Google Scholar
  32. 32.
    J. R. Wait, Fields of a horizontal dipole over a stratified anisotropic half space,IEEE Antenna & Prop. AP-14, 790–792 (1966).Google Scholar
  33. 33.
    J. R. Wait, The electromagnetic basis for nondestructive testing of cylindrical conductors,IEEE Inst. & Meas. IM-27, 235–238 (1978).Google Scholar
  34. 34.
    E. G. Belikov, V. G. Gerasimov, and Yu. Ya. Ostanin, Theory of laid-on shielded transducer for inspection of multilayer products,Defektoskopiya No. 5, 52–61 (1977).Google Scholar
  35. 35.
    C. C. Cheng, C. V. Dodd, and W. Deed, General analysis of probe coils near stratified conductors,Int. J. of Non Destructive Testing 3:109–130 (1971).Google Scholar
  36. 36.
    J. A. Roumeliotis, J. G. Fikioris, and G. P. Gounaris, Electromagnetic scattering from an eccentrically coated infinite metallic cylinder,J. Appl. Phys. 51:4488–4493 (1980).Google Scholar
  37. 37.
    H. L. Libby,Introduction to Electromagnetic Non Destructive Test Methods, (Wiley-Interscience, New York, 1971).Google Scholar
  38. 38.
    T. Sato, Y. Suzuki, S. Saito, and Y. Inui, Calculation of magnetic field taking into account eddy current and non-linear magnetism,Elec. Eng. Japan,96:96–102 (1976).Google Scholar
  39. 39.
    R. M. Bozorth,Ferromagnetism, (D. Van Nostrand Inc., Princeton, New Jersey, 1957).Google Scholar
  40. 40.
    J. Galejs, E.L.F. waves in the presence of exponential ionospheric conductivity profiles,Trans. I.R.E. AP-9 (1961).Google Scholar

Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • Ton Tran-Cong
    • 1
  1. 1.Aeronautical Research LaboratoriesMelbourneAustralia

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