Abstract
On the basis of the main integrodifferential equation of magnetostatics, a problem of a sphere with an internal inclusion limited by a smooth surface is considered. An equation that must be solved only at the surface confining the inclusion is obtained. The derived equation is tested against known problems. In particular, the direct and inverse problems of a magnetic sphere placed inside a nonmagnetic sphere are considered.
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Dyakin, V.V., Umergalina, O.V., and Raevskii, V.Ya., The Field of a Finite Defect in a 3D Semispace, Defektoskopiya, 2005, no. 8, pp. 28–42 [Russ. J. Nondestr. Test. (Engl. Transl.), 2005, vol. 41, no. 8, pp. 502–513].
Dyakin, V.V., Raevskii, V.Ya., and Kudrjashova, O.V., The Field of a Finite Defect in a Plate, Defektoskopiya, 2009, no. 3, pp. 67–79 [Russ. J. Nondestr. Test. (Engl. Transl.), 2009, vol. 45, no. 3, pp. 199–209].
Mikhlin, S.G., Lineinye uravneniya v chastnykh proizvodnykh (Linear Equations in Partial Derivatives), Moscow: Vysshaya shkola, 1977.
Varshalovich, D.A., Moskaleva, A.N., and Khersonskii, V.K., Kvantovaya teoriya uglovogo momenta (Quantum Theory of Angular Momentum), Leningrad: Nauka, 1975.
Sapozhnikov, A.B., Teoreticheskie osnovy elektromagnitnoi defektoskopii metallicheskikh tel (Theoretical Fundamentals of Electromagnetic Flaw Detection of Metal Bodies), Tomsk: Tomsk Gos. Univer., 1980.
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Original Russian Text © V.V. Dyakin, V.Ya. Raevskii, O.V. Kudryashova, 2009, published in Defektoskopiya, 2009, Vol. 45, No. 9, pp. 16–30.
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Dyakin, V.V., Raevskii, V.Y. & Kudryashova, O.V. A flaw in a sphere. Russ J Nondestruct Test 45, 604–615 (2009). https://doi.org/10.1134/S1061830909090022
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DOI: https://doi.org/10.1134/S1061830909090022