Abstract
Techniques recently shown to be effective in the analysis of electrochemical noise have been used to investigate the quantitative information to be gained from topographical profiles of corroding surfaces. Representation of both uncorroded and corroded surfaces by fractals has been examined and a comparison of traditional coastline plots with other methods of analysis carried out. A new method known as the Stochastic Pattern Detector is shown to be a particularly sensitive tool for highlighting high resolution changes to surface profile during corrosion of aluminium 2024. Correlation of conventional mechanical surface profile measurements and rescaled range analysis has been achieved.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. W. Joosten, T. Johnsen, H. H. Hardy, T. Jossang and J. Feder, “Fractal Behaviour of CO2 Pits”, Paper 11, NACE 92, Nashville, TN, NACE (1992).
K. R. Trethewey, D. A. Sargeant, D. J. Marsh and A. A. Tamimi, “Applications of the Scanning Reference Electrode Technique to Localized Corrosion”, Advances in Corrosion and Protection, University of Manchester Institute of Science and Technology, (1992).
K. R. Trethewey and J. S. Keenan, “Microcomputer-based corrosion modeling applied to polarization curves” in Computer modeling in corrosion, (ed. R. Munn), American Society for Testing and Materials, Philadelphia (1992), 197.
P. R. Roberge, “Analyzing electrochemical impedance corrosion measurements by the systematic permutation of data points”, in Computer modeling in corrosion, (ed. R. Munn), American Society for Testing and Materials, Philadelphia (1992), 197.
P. R. Roberge, “The analysis of spontaneous electrochemical noise for corrosion studies”, J. Electrochem. Soc., submitted for publication, (1993).
E. Lorenz, “Deterministic Non-Periodic Flow”, J. Atmos. Sci., Vol. 20, 448 (1963).
M. Feigenbaum, “Quantitative Universality for a Class of Nonlinera Transformations”, J. Stat. Phys., Vol. 19, 25 (1978).
B. B. Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman and Company, New York (1983).
S. G. Corcoran and K. Sieradzki, “Chaos During the Growth of an Artificial Pit”, J. Electrochem. Soc.,Vol. 139, 1568 (1992).
S. M. Sharland, “Chaotic Behaviour in the Initiation of Localised Corrosion in Metals”, Corrosion Science (1993) in press.
B. B. Mandelbrot, “How Long is the Coast of Britain?”, in The Fractal Geometry of Nature, W. H. Freeman and Company, New York (1983), 24.
J. M. Costa and M. Vilarrasa, “Fractal Analysis of Corrosion Pitting Patterns”, 12th Scandinavian Corrosion Congress & Eurocorr ’92, Helsinki, Finland, Corrosion Society of Finland (1992).
R. Lenormand, “Flow Through Porous Media”, in Fractals in the Natural Sciences, (eds. M. Fleischmann, D. J. Tildesley and R. C. Ball), Princeton University Press, Princeton, NJ (1989), 159.
P. Pfeifer, M. Obert and M. W. Cole, “Fractal BET and FHH Theories of Adsorption:A Comparative Study”, in Fractals in the Natural Sciences, (eds. M. Fleischmann, D. J. Tildesley and R. C. Ball), Princeton University Press, Princeton, NJ (1989), 169.
A. Blumen and G. H. Kohler, “Reactions in and on Fractal Media”, in Fractals in the Natural Sciences, (eds. M. Fleischmann, D. J. Tildesley and R. C. Ball), Princeton University Press, Princeton, NJ (1989), 189.
P. R. Roberge, “From patterns created by analyzing electrochemical impedance spectroscopy results to equivalent circuit models”, J. Electrochem. Soc., submitted for publication (1993).
B. Sapoval, “Fractal Electrodes, Fractal Membranes and Fractal Catalysis”, in Fractals and Disordered Systems, (eds. A. Bunde and S. Havlin), Springer-Verlag, Berlin, Germany (1991), 207.
J. B. Bates and J. C. Wang, ECS Fall Meeting (Extended Abstracts), New Orleans, Electrochem. Soc. (1984).
A. L. Mehaute and G. Crepy, Solid State Ionics, Vol. 9&10, 17 (1983).
K. R. Trethewey, J. S. Keenan, D. A. Sargeant, S. Haines and P. R. Roberge, “The fractality of corroding metal surfaces”, 12th. International Corrosion Symposium, Houston, TX, NACE (1993).
J. S. Keenan, K. R. Trethewey, D. A. Sargeant, S. Haines and P. R. Roberge, “Towards Better Quantitative Models for the Corrosion of Aluminium using Fractal Geometry”, 32nd Annual Conference of Metallurgists: Light Metals, Quebec City, Canada, The Metallurgical Society of CIM (1993).
E. O. Brigham, The Fast Fourier Transform, Prentice-Hall Inc, Englewood Cliffs, USA (1974).
J. S. Bendat and A. G. Piersol, Random Data: Analysis and Measurement Procedures, John Wiley and Sons, New York, USA (1986).
N. Anderson, Geophysics, Vol. 39, 69 (1974).
N. Anderson, Modern Spectral Analysis, IEEE, New York USA (1978).
P. R. Roberge, “The Chaotic Behaviour of Corroding Aluminum”, J. App. Electrochem., in press (1993).
L. T. Fan, D. Neogi and M. Yashima, Elementary introduction to spatial and temporal fractals, Springer-Verlag, Berlin (1991).
D. Saupe, “Algorithms for Random Fractals”, in The Science of Fractal Images, (eds. H.-O. Peitgen and D. Saupe), Springer-Verlag, New York, USA (1988), 71.
E. H. Hurst, “Methods of using long term storage in reservoirs”, Proc. Inst. Civ. Eng., Vol. 5, 519 (1956).
B. B. Mandelbrot and J. W. v. Ness, SIAM Review, Vol. 10, 422 (1968).
B. B. Mandelbrot and J. R. Wallis, Water Resources Res., Vol. 5, 321 (1969).
J. Feder, Fractals, Plenum, New York, USA (1988).
P. R. Roberge, M. Farahani and K. Tomanstchger, J. Power Sources, Vol. 41, 321 (1993).
H. Takayasu, “Fractional Brownian Motion”, in Fractals in the Physical Sciences, Manchester University Press, Manchester, UK (1990), 95.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Trethewey, K.R., Roberge, P.R. (1994). Towards Improved Quantitative Characterization of Corroding Surfaces Using Fractal Models. In: Trethewey, K.R., Roberge, P.R. (eds) Modelling Aqueous Corrosion. NATO ASI Series, vol 266. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1176-8_21
Download citation
DOI: https://doi.org/10.1007/978-94-011-1176-8_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4513-1
Online ISBN: 978-94-011-1176-8
eBook Packages: Springer Book Archive