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Reconstructing the Topography of Surface Defects of Ferromagnets in a Normal Magnetization Field

  • ELECTROMAGNETIC METHODS
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Abstract

The method of reconstructing the topography of defects in a ferromagnet in a normal magnetization field is considered. It is shown that with such magnetization the surface of the soft ferromagnetic is an equipotential surface. An approximation is proposed that allows one to obtain the topography of a defect from the results of measuring three components of the magnetic field at a small distance from the defect. The reconstruction accuracy is estimated based on the results of calculating the field due to the defect by the method of finite elements and reconstructing the defect topography using the approximation proposed.

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REFERENCES

  1. Muzhitskii, V.F., Model of surface defect under normal magnetization and calculation of topography of its magnetostatic field, Defektoskopiya, 1988, no. 7, pp. 3–7.

  2. Gusev, A.P. and Poyarkov, P.N., Magnetic field of a surface defect with magnetization of ferromagnets by an inhomogeneous field of permanent magnets, Defektoskopiya, 1992, no. 11, pp. 711–75.

  3. Krotov, L.N., Reconstruction of a media boundary based on the spatial distribution of stray magnetic fields. II. Definition and method of solving the inverse geometric problem of magnetostatics, Russ. J. Nondestr. Test., 2004, vol. 40, no. 6, pp. 385–390.

    Article  Google Scholar 

  4. Krotov, L.N., Reconstruction of a media boundary based on the spatial distribution of stray magnetic fields. II. Definition and method of solving the inverse geometric problem of magnetostatics, Russ. J. Nondestr. Test., 2004, vol. 40, no. 6, pp. 385–390.

    Article  Google Scholar 

  5. Muzhitskii, V.F. and Shcherbinin, V.E., Magnetic field of a short rectangular slot-type flaw, Russ. J. Nondestr. Test., 2006, vol. 42, no. 2, pp. 115–118.

    Article  Google Scholar 

  6. Zagidulin, R.V., Muzhitskii, V.F., and Isaev, D.A., Dynamic model of a continuity flaw during normal magnetization of a ferromagnetic article: I. Magnetostatic field of a continuity flaw of a finite size, Russ. J. Nondestr. Test., 2006, vol. 42, no. 10, pp. 648–652.

    Article  CAS  Google Scholar 

  7. Zagidulin, R.V., Muzhitskii, V.F., and Isaev, D.A., Dynamic model of a continuity flaw during normal magnetization of a ferromagnetic article: II. Magnetostatic field of a continuity flaw during magnetization of the article with a finite-sized magnetizing instrument, Russ. J. Nondestr. Test., 2006, vol. 42, no. 11, pp. 752–759.

    Article  CAS  Google Scholar 

  8. Kushner, A. V. and Novikov, V. A., Analysis of defect models in theoretical studies of magnetic scattering fields arising during magnetization of ferromagnetic objects, Vestn. Belorus.-Ross. Univ., 2014, no. 1, p. 42.

  9. Gobov, Yu.L., Nikitin, A.V., and Popov, S.E., Solving the inverse geometric problem of magnetostatics for corrosion defects, Russ. J. Nondetsr. Test., 2018, vol. 54, no. 10.

  10. Gobov, Yu.L., Nikitin, A.V., and Popov, S.E., Solving the inverse geometric problem of magnetostatics for corrosion defects with allowance for nonlinear properties of ferromagnet, Russ. J. Nondestr. Test., 2018, vol. 54, no. 12, pp. 849–854.

    Article  Google Scholar 

  11. US Patent 4468619, 1984.

  12. RF Patent (11)2393466(13)C2, 2008.

  13. Grinberg, G.A., Izbrannyye voprosy matematicheskoy teorii elektricheskikh i magnitnykh yavlenii (Selected Topics in the Mathematical Theory of Electrical and Magnetic Phenomena), Moscow: Izd. Akad. Nauk. SSSR, 1948.

  14. Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrekntnykh zadach (Methods for Solving Ill-Posed Problems), Moscow: Nauka, 1979.

  15. Samarskii, A.A. and Vabishchevich, P.N., Chislennye metody resheniya obratnykh zadach matematicheskoi fiziki (Numerical Methods for Solving Inverse Problems of Mathematical Physics), Moscow: LKI, 2009.

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Authors and Affiliations

  1. Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, 620108, Yekaterinburg, Russia

    Yu. L. Gobov & S. E. Popov

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  1. Yu. L. Gobov
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  2. S. E. Popov
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Correspondence to Yu. L. Gobov or S. E. Popov.

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Gobov, Y.L., Popov, S.E. Reconstructing the Topography of Surface Defects of Ferromagnets in a Normal Magnetization Field. Russ J Nondestruct Test 57, 303–309 (2021). https://doi.org/10.1134/S1061830921040057

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  • DOI: https://doi.org/10.1134/S1061830921040057

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