SURFACE GEOMETRY RECONSTRUCTION OF CORROSION DEFECTS OF FERROMAGNETIC MATERIALS PRODUCTS BY THE OPTIMIZATION BY LINEAR APPROXIMATION

Mikhailov, L.V.; Mikhailov, A.V.; Nikitin, A.V.; Smorodinskii, Ya.G.; Kostin, V.N.

doi:10.7868/S3034498025070084

PII

S30344980S0130308225070084-1

DOI

10.7868/S3034498025070084

Publication type

Article

Status

Published

Authors

L.V. Mikhailov

Affiliation: M.N. Mikheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

A.V. Mikhailov

Affiliation: M.N. Mikheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

A.V. Nikitin

Affiliation: M.N. Mikheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

Ya.G. Smorodinskii

Affiliation: M.N. Mikheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

V.N. Kostin

Affiliation: M.N. Mikheev Institute of Metal Physics of Ural Branch of Russian Academy of Sciences

Volume/ Edition

Volume / Issue number 7

Pages

70-73

Abstract

The paper describes a technique developed by the authors for reconstructing the shape and size of surface corrosion defects in products made of ferromagnetic materials based on measured components of the magnetic leakage field strength near the surface of the test object. The optimization problem of approximating the signal of a two-dimensional finite element model to the measured signal was solved by optimization using linear approximation with constraints. A method for approximating the defect shape using basis splines and a physical justification for choosing the reference points of spline interpolation are presented. The described technique was tested in a numerical experiment using a symmetrical defect and an arbitrary-shaped defect as an example.

Keywords

магнитный контроль магнитные поля рассеяния дефектометрия обратная задача

Date of publication

12.03.2026

Year of publication

2026

Number of purchasers

Views

References

1. Han W., Que P. An improved genetic local search algorithm for defect reconstruction from MFL signals // Russ. J. Nondestruct. Test. 2005. V. 41. P. 815—821.
2. Lu S., Liu J., Wu J., Fu X. A Fast Globally Convergent Particle Swarm Optimization for Defect Profile Inversion Using MFL Detector // Machines. 2022. V. 10. P. 1091.
3. Powell M.J.D. A Direct Search Optimization Method That Models the Objective and Constraint Functions by Linear Interpolation / In: Gomez S., Hennart J.P. (eds.) Advances in Optimization and Numerical Analysis. Mathematics and Its Applications. 1994. V. 275. Springer, Dordrecht.

GOST	Kostin V., Mikhailov L., Mikhailov A., Nikitin A., Smorodinskii Y. SURFACE GEOMETRY RECONSTRUCTION OF CORROSION DEFECTS OF FERROMAGNETIC MATERIALS PRODUCTS BY THE OPTIMIZATION BY LINEAR APPROXIMATION // Russian Journal of Nondestructive Testing. – 2025. – Issue number 7 C. 70-73 . URL: https://defectoscopyras.ru/s30344980s0130308225070084-1-ru/?version_id=125349. DOI: 10.7868/S3034498025070084
MLA	Kostin, V.N, Mikhailov, L.V, Mikhailov, A.V, Nikitin, A.V, Smorodinskii, Ya.G "SURFACE GEOMETRY RECONSTRUCTION OF CORROSION DEFECTS OF FERROMAGNETIC MATERIALS PRODUCTS BY THE OPTIMIZATION BY LINEAR APPROXIMATION." Russian Journal of Nondestructive Testing. 7 (2025).:70-73. DOI: 10.7868/S3034498025070084
APA	Kostin V., Mikhailov L., Mikhailov A., Nikitin A., Smorodinskii Y. (2025). SURFACE GEOMETRY RECONSTRUCTION OF CORROSION DEFECTS OF FERROMAGNETIC MATERIALS PRODUCTS BY THE OPTIMIZATION BY LINEAR APPROXIMATION. Russian Journal of Nondestructive Testing. no. 7, pp.70-73 DOI: 10.7868/S3034498025070084

RAS PhysicsДефектоскопия Russian Journal of Nondestructive Testing

SURFACE GEOMETRY RECONSTRUCTION OF CORROSION DEFECTS OF FERROMAGNETIC MATERIALS PRODUCTS BY THE OPTIMIZATION BY LINEAR APPROXIMATION

You can

References

Indexing

RAS PhysicsДефектоскопия Russian Journal of Nondestructive Testing

SURFACE GEOMETRY RECONSTRUCTION OF CORROSION DEFECTS OF FERROMAGNETIC MATERIALS PRODUCTS BY THE OPTIMIZATION BY LINEAR APPROXIMATION

You can

References

Indexing

Via social network