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An application of the fundamental magnetostatics equation to magnetic thickness gauging problems. Part 2

  • Magnetic and Electrical Methods
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Russian Journal of Nondestructive Testing Aims and scope Submit manuscript

Abstract

This work is a continuation of the first part with the same name, where (for solving direct and inverse magnetic thickness gauging problems) formulas are derived for an arbitrary external field for the calculation of resultant magnetic fields for two-layer magnets that contain double integrals over the entire coordinate plane from functions that are determined by the particular type of external field. The sensitivity of the resulting field to the value of the gap between the product and measurement point of this field was analyzed. The correctness (under certain conditions) of the solution to the inverse thickness gauging problem (the unambiguous determination of the thickness of the upper layer of an inhomogeneous magnet from the measured resulting field) is grounded.

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References

  1. Gradstein, I.S. and Ryzhik, I.M., Tablitsy integralov, ryadov i proizvedenii (Tables of Integrals, Series, and Products), St. Petersburg: BKhV-Peterburg, 2011.

    Google Scholar 

  2. Prudnikov, A.P., Brychkov, Yu.A., and Marichev, O.I., Integraly i ryady (Integrals and Series), Moscow: Fizmatlit, 2003.

    Google Scholar 

  3. Yanke, E., Emde, F., and Lesh, F., Spetsial’nye funktsii (Special Functions), Moscow: Nauka, 1977.

    Google Scholar 

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Correspondence to V. Ya. Raevskii.

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Original Russian Text © V.V. Dyakin, O.V. Kudryasheva, V.Ya. Raevskii, 2014, published in Defektoskopiya, 2014, Vol. 50, No. 10, pp. 3–17.

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Dyakin, V.V., Kudryasheva, O.V. & Raevskii, V.Y. An application of the fundamental magnetostatics equation to magnetic thickness gauging problems. Part 2. Russ J Nondestruct Test 50, 553–565 (2014). https://doi.org/10.1134/S1061830914100040

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  • DOI: https://doi.org/10.1134/S1061830914100040

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