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dc.contributor.authorPimenova, A. V.-
dc.contributor.authorGoldobin, D. S.-
dc.contributor.authorLevesley, J.-
dc.contributor.authorIvantsov, A. O.-
dc.contributor.authorElkington, P.-
dc.contributor.authorBacciarelli, M.-
dc.identifier.citationMathematical Modelling of Natural Phenomena, 2015, 10 (3), pp. 61-70 (10)en
dc.descriptionMathematics Subject Classification: 78A30 / 78M34 / 78A55en
dc.description.abstractWe consider the application of the magnetic flux leakage (MFL) method to the detection of defects in ferromagnetic (steel) tubulars. The problem setup corresponds to the cases where the distance from the casing and the point where the magnetic field is measured is small compared to the curvature radius of the undamaged casing and the scale of inhomogeneity of the magnetic field in the defect-free case. Mathematically this corresponds to the planar ferromagnetic layer in a uniform magnetic field oriented along this layer. Defects in the layer surface result in a strong deformation of the magnetic field, which provides opportunities for the reconstruction of the surface profile from measurements of the magnetic field. We deal with large-scale defects whose depth is small compared to their longitudinal sizes—these being typical of corrosive damage. Within the framework of large-scale approximation, analytical relations between the casing thickness profile and the measured magnetic field can be derived.en
dc.publisherEDP Sciences, Cambridge University Press (CUP)en
dc.rightsCopyright © 2015, EDP Sciences, Cambridge University Press (CUP). Deposited with reference to the publisher’s open access archiving policy.en
dc.subjectScience & Technologyen
dc.subjectLife Sciences & Biomedicineen
dc.subjectPhysical Sciencesen
dc.subjectMathematical & Computational Biologyen
dc.subjectMathematics, Interdisciplinary Applicationsen
dc.subjectMultidisciplinary Sciencesen
dc.subjectScience & Technology - Other Topicsen
dc.subjectmagnetic flux leakageen
dc.subjectcorrosive defectsen
dc.subjectlarge-scale approximationen
dc.titleMagnetic Flux Leakage Method: Large-Scale Approximationen
dc.typeJournal Articleen
dc.description.versionPublisher Versionen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERINGen
pubs.organisational-group/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematicsen
Appears in Collections:Published Articles, Dept. of Mathematics

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