Exact solution of one problem of magnetostatics in bipolar coordinates (continued)
Source abstract
Abstract
An exact solution for a linear problem of magnetostatics about an infinite cylinder with an infinite noncoaxial cylindrical flaw has been derived in the system of plane bipolar coordinates under the condition that external magnetizing field remains unchanged along the length axis of this model body. The solution has been tested for theoretical veracity and compared with the solution of a similar problem that was obtained by one semianalytic method [2]. For a particular problem about a halfspace with an infinite cylindrical flaw, an exact solution has been obtained and compared with results that were achieved by other methods. The mismatch between the solution of the problem about a halfspace and the solution of the problem with passage to the limit of a half-space has been considered. An algorithm is described for solving the inverse problem of separate determination of flaw depth and dimensions.
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Non-Destructive Testing Techniques · Material Properties and Failure Mechanisms · Magnetic Properties and Applications
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (11)
Show source-provided references
1. Dyakin, V.V., Umergalina, O.V., and Sandovskii, V.A., Exact solution of one problem of magnetostatics in bicylindrical coordinates, Defektoskopiya, 1999, no. 6, pp. 29–35.
2. Dyakin, V.V. and Kudryashova, O.V., A flaw in a cylinder, Russ. J. Nondestr. Test., 2012, vol. 48, no. 4, pp. 226–237.10.1134/S1061830912040055 ↗
3. Halchenko, V.Ya., Ostapushchenko, D.L., and Vorobyov, M.A., Mathematical simulation of magnetization processes of arbitrarily shaped ferromagnetic test objects in fields of given spatial configurations, Russ. J. Nondestr. Test., 2008, vol. 44, no. 9, pp. 589–600.10.1134/S1061830908090015 ↗
4. Dyakin, V.V. and Kudryashova, O.V., A flaw in a pipe, Russ. J. Nondestr. Test., 2012, vol. 48, no. 10, pp. 555–567.10.1134/S106183091210004X ↗
5. Dyakin, V.V., Umergalina, O.V., and Raevskii, V.Ya., The field of a finite defect in a 3D semispace, Russ. J. Nondestr. Test., 2005, vol. 41, no. 8, pp. 502–513.10.1007/s11181-005-0199-1 ↗
6. Dyakin, V.V., Raevskii, V.Ya., and Umergalina, O.V., A magnetostatic problem for a semispace with a spherical defect in an inhomogeneous external field, Russ. J. Nondestr. Test., 2007, vol. 43, no. 1, pp. 1–11.10.1134/S1061830907010019 ↗
7. Dyakin, V.V., Rayevskiy, V.Y., and Kudrjashova, O.V., The field of a finite defect in a plate, Russ. J. Nondestr. Test., 2009, vol. 45, no. 3, pp. 199–209.10.1134/S1061830909030073 ↗
8. Dyakin, V.V., Raevskii, V.Ya., and Kudryashova, O.V., Russ. J. Nondestr. Test., 2009, vol. 45, no. 9, pp. 604–615.10.1134/S1061830909090022 ↗
9. Dyakin, V.V. and Kudryashova, O.V., A flaw in a sphere (continuation), Russ. J. Nondestr. Test., 2010, vol. 46, no. 11, pp. 819–828..10.1134/S1061830910110057 ↗
10. Korn, G. and Korn, T., Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov (Mathematics Handbook for Scientific Researchers and Engineers), Moscow: Nauka, 1977.
11. Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, summ, ryadov i proizvedenii (Tables of Integrals, Sums, Series, and Products), Moscow: Gos. Izd. Fiz.-Mat. Lit., 1962.