Abstract
The problem of magnetostatics for the case of the model of a pipe with an internal flaw has been solved. An algorithm that allows to calculate the components of a resulting field with controllable precision and a minimum computational time was proposed. The solution was checked for validity via the limiting transition to problems with known solutions. Some illustrative results of the numerical solution were given.
Similar content being viewed by others
References
Dyakin, V.V. and Kudryashova, O.V., A Flaw in a Cylinder, Rus. J. Nondestr. Test., 2012, vol. 48, no. 4, pp. 226–237.
Dyakin, V.V., Umergalina, O.V., and Raevskii, V.Ya., The Field of a Finite Defect in a 3D Semispace, Rus. J. Nondestr. Test., 2005, vol. 41, no. 8, pp. 502–513.
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, Rus. J. Nondestr. Test., 2007, vol. 43, no. 1, pp. 1–11.
Dyakin, V.V., Raevskii, V.Ya., and Kudryashova, O.V., The Field of a Finite Defect in a Plate, Rus. J. Nondestr. Test., 2009, vol. 45, no. 3, pp. 199–209.
Dyakin, V.V., Raevskii, V.Ya., and Umergalina, O.V., A Flaw in a Sphere, Rus. J. Nondestr. Test., 2009, vol. 45, no. 9, pp. 604–615.
Gradshtein, I.S. and Ryzhik, I.M., Tablitsy integralov, summ, ryadov i proizvedeniya (Tables of Integrals, Sums, Series, and Products), Moscow: GIFML, 1962.
Sapozhnikov, A.B., Teoreticheskie osnovy elektromagnitnoi defektoskopii metallicheskikh tel (Theoretical Foundations of Electromagnetic Flaw Detection of Metal Bodies), Tomsk: TGU, 1980.
Shcherbinin, V.E. and Pashagin, A.I., Influence of the Boundaries of an Object on the Value of the Flaw Field, Defektoskopiya, 1976, no. 2, pp. 85–89.
Shcherbinin, V.E. and Shur, M.L., Consideration of the Influence of the Boundary of an Article on the Field of a Cylindrical Flaw, Defektoskopiya, 1976, no. 6, pp. 30–36.
Sandovskii, V.A., Dyakin, V.V., and Umergalina, O.V., Field of a Flaw in the Form of an Elliptical Cylinder in a Plate Placed in a Uniform Magnetic Field, Defektoskopiya, 1999, no. 11, pp. 46–56.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Dyakin, O.V. Kudryashova, 2012, published in Defektoskopiya, 2012, Vol. 48, No. 10, pp. 3–17.
Rights and permissions
About this article
Cite this article
Dyakin, V.V., Kudryashova, O.V. A flaw in a pipe. Russ J Nondestruct Test 48, 555–567 (2012). https://doi.org/10.1134/S106183091210004X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106183091210004X