Article Article
Fractal Dimension Algorithm for MFL of Corrosion Damage in Wire Rope

Magnetic flux leakage testing (MFL) is used extensively for the nondestructive inspection of steel wire ropes. Corrosion detection has always been difficult in wire rope testing. Corrosion damage is a type of irregular geometry that can exist anywhere, and its morphology is often within a certain range of scale with statistical self-similarity. By analyzing the fractal characteristics of the magnetic leakage signal obtained from corroded steel wire rope, a quantitative calculation of the fractal dimension for MFL of steel wire rope is proposed. The results show that the technique can calculate the corrosion degree of steel wire rope by simulation. The technique is unaffected by unfavorable factors during testing. The authors tested steel wire rope with different degrees of corrosion using the technique. The experiment proves that the technique can determine the degree of corrosion and circumferential position of the steel wire rope accurately.

DOI: https://doi.org/10.32548/2020.me-04110

References

Apostolopoulos, C.A., and V.G. Papadakis, 2008, “Consequences of Steel Corrosion on the Ductility Properties of Reinforcement Bar,” Construction and Building Materials, Vol. 22, No. 12, pp. 2316–2324.

Cao, Y., D. Zhang, C. Wang, and D. Xu, 2006, “More Accurate Localized Wire Rope Testing Based on Hall Sensor Array,” Materials Evaluation, Vol. 64, No. 9, pp. 907–910.

de Anchieta Rodrigues, J., and V.C. Pandolfelli, 1998, “Insights on the Fractal-Fracture Behaviour Relationship,” Materials Research, Vol. 1, No. 1, pp. 47–52.

Evola, P., A. Vandone, and P. Rizzo, 2016, “Fractal Analysis Applied to Laser Spot Thermography,” Materials Evaluation, Vol. 74, No. 3, pp. 409–417.

Falconer, K., 2003, Fractal Geometry: Mathematical Foundations and Applications, 2nd ed., John Wiley & Sons, West Sussex, England.

Fernández-Martínez, M., and M.A. Sánchez-Granero, 2012, “Fractal Dimension for Fractal Structures: A Hausdorff Approach,” Topology and its Applications, Vol. 159, No. 7, pp. 1825–1837.

Hanasaki, K., K. Tsukada, Y. Fujinaka, T. Mitamura, and K. Sugii, 1989, “A Magnetic Method to Measure Metallic Cross-Sectional Area of Corroded Steel Wire,” Proceedings of the 12th World Conference on Non-Destructive Testing, Vol. 2, pp. 1270–1272.

Lopes, R., and N. Betrouni, 2009, “Fractal and Multifractal Analysis: A Review,” Medical Image Analysis, Vol. 13, No. 4, pp. 634–649.

Mandelbrot, B., 1967, “How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension,” Science, Vol. 156, No. 3775, pp. 636–638.

Mandelbrot, B.B., 1977, Fractals: Form, Chance, and Dimension, W.H. Freeman and Co., San Francisco, CA.

Mandelbrot, B.B., 1983, The Fractal Geometry of Nature, W.H. Freeman and Co., New York, NY.

Michel, A., B.J. Pease, A. Peterová, M.R. Geiker, H. Stang, and A.E.A. Thybo, 2014, “Penetration of Corrosion Products and Corrosion-Induced Cracking in Reinforced Cementitious Materials: Experimental Investigations and Numerical Simulations,” Cement and Concrete Composites, Vol. 47, pp. 75–86.

Pan, S., D. Zhang, and E. Zhang, 2019, “Analysis of the Eccentric Problem of Wire Rope Magnetic Flux Leakage Testing”, 2019 IEEE 3rd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC), pp. 1597–1601.

Risović, D., S. Mahovic Poljaček, K. Furić, and M. Gojo, 2008, “Inferring Fractal Dimension of Rough/Porous Surfaces – A Comparison of SEM Image Analysis and Electrochemical Impedance Spectroscopy Methods,” Applied Surface Science, Vol. 255, No. 5, pp. 3063–3070.

Russell, D.A., J.D. Hanson, and E. Ott, 1980 “Dimension of Strange Attractors,” Physical Review Letters, Vol. 45, No. 14, pp. 1175–1178.

Schreiber, J., 2010, “Fractal Nature of Barkhausen Noise – A Key to Characterize the Damage State of Magnetic Materials,” Electromagnetic Nondestructive Evaluation (XIII), Vol. 33, pp. 238–246.

Tang, H.P., J.Z. Wang, J.L. Zhu, Q.B. Ao, J.Y. Wang, B.J. Yang, and Y.N. Li, 2012 “Fractal Dimension of Pore-Structure of Porous Metal Materials Made by Stainless Steel Powder,” Powder Technology, Vol. 217, pp. 383–387.

Tse, P.W., and J. Rostami, 2016, “Advanced Signal Processing Methods Applied to Guided Waves for Wire Rope Defect Detection,” AIP Conference Proceedings, Vol. 1706, No. 1.

Tsukada, K., K. Hanasaki, and Y. Fujinaka, 1992, “A Magnetic Method to Measure Metallic Cross-Sectional Area of Corroded Steel Wire and Wire Rope,” Hihakai Kensa (Journal of JSNDI), Vol. 41, No. 1, pp. 18–26 (in Japanese).

Wang, D., W. Zhang, X. Wang, and B. Sun, 2016, “Lamb-Wave-Based Tomographic Imaging Techniques for Hole-Edge Corrosion Monitoring in Plate Structures,” Materials, Vol. 9, No. 11, p. 916.

Weischedel, H.R., 1985, “The Inspection of Wire Ropes in Service: A Critical Review,” Materials Evaluation, Vol. 43, No. 13, pp. 1592–1605.

Weischedel, H.R., 2013, “Wire Rope Roughness (WRR), a New Indicator for the Quantitative Characterization of Wire Rope Deterioration,” Proceedings of the OIPEEC Conference 2013, pp. 10–13.

Zhang, D., M. Zhao, and Z. Zhou, 2012 “Quantitative Inspection of Wire Rope Discontinuities Using Magnetic Flux Leakage Imaging,” Materials Evaluation, Vol. 70, No. 7, pp. 872–878.

Zhang, E., D. Zhang, and S. Pan, 2019, “Magnetic Flux Leakage Testing of Wire Rope Defects with Denoising,” 2019 IEEE 3rd Information Technology, Networking, Electronic and Automation Control Conference (ITNEC), pp. 1574–1577.

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