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Modeling of the Propagation of Pitting Corrosion by Point Processes

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We performed a series of experiments aimed at the investigation of the propagation of pitting corrosion in stainless steels. A collection of fragments of the surface damaged by pitting corrosion was obtained with the help of the anode polarization of samples of materials in chlorine-containing media. For the analysis of their images, we used statistical modeling performed with the help of point processes. To model the mutual influence of pitting defects, we used Markov processes with pairwise interaction. It is shown that the characteristics of stochastic processes can be used for the determination of the correlation between pits.

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References

  1. V. I. Pokhmurs’kyi and M. S. Khoma, Corrosion Fatigue of Metals and Alloys: A Monograph [in Ukrainian], Spolom, Lviv (2008).

    Google Scholar 

  2. M. A. Shluger, F. F. Azhogin, and E. A. Efimov, Corrosion and Protection of Metals [in Russian], Metallurgiya, Moscow (1981).

    Google Scholar 

  3. D. G. Tufanov, Corrosion Resistance of Stainless Steels, Alloys, and Pure Metals: A Handbook [in Russian], Metallurgiya, Moscow (1982).

    Google Scholar 

  4. P. M. Aziz, “Application of the statistical theory of extreme values to the analysis of maximum pit depth data for aluminum,” Corrosion, 12, No. 10, 35–46 (1956).

    Article  Google Scholar 

  5. T. Shibata and T. Takeyama, “Stochastic theory of pitting corrosion,” Corrosion, 33, No. 7, 243–251 (1977).

    Article  Google Scholar 

  6. D. E. Hawn, “Extreme value prediction of maximum pits on pipelines,” Mater. Performance, 16, 29–32 (1977).

    Google Scholar 

  7. A. Valor, F. Galeo, L. Alfonso, D. Rivas, and J. M. Hallen, “Stochastic modeling of pitting corrosion: A new model for initiation and growth of multiple corrosion pits,” Corros. Sci., 49, 559–579 (2007).

    Article  Google Scholar 

  8. L. Organ, J. R. Scully, A. S. Mikhailov, and J. L. Hudson, “A spatiotemporal model of interactions among metastable pits and the transition to pitting corrosion,” Electrochim. Acta, 51, 225–241 (2005).

    Article  Google Scholar 

  9. N. D. Budiansky, L. Organ, J. L. Hudson, and J. R. Scully, “Detection of interactions among localized pitting sites on stainless steel using spatial statistics,” J. Electrochem. Soc., 152, No. 4, B152–B160 (2005).

    Article  Google Scholar 

  10. A. Valor, F. Caleyo, L. Alfonso, J. C. Velazkez, J. M. Hallen, and C. Markov, “Models for the stochastic modeling of pitting corrosion,” Math. Probl. Eng., 2013, Article ID 108386 (2013).

  11. A. J. Baddeley and M. N. M. van Lieshout, “Area-interaction point processes,” Ann. Inst. Statist. Math., 47, No. 4, 601–619 (1995).

    Article  Google Scholar 

  12. P. Grabarnik and A. Sarkka, “Interacting neighbor point processes: some models for clustering,” J. Statist. Comput. Simulat., 68, 103–126. (2001).

    Article  Google Scholar 

  13. B. Ripley, “Test of randomness for spatial point patterns,” J. R. Statist. Soc. B, 41, No. 3, 368–374 (1979).

    Google Scholar 

  14. T. Fiksel, “Estimation of parametrized pair potentials of marked and nonmarked Gibbsian point processes,” Elektron. Inform. Kybernet,, 20, 270–278 (1984).

    Google Scholar 

  15. R. Ya. Kosarevych, “Segmentation of images with the use of the characteristics of point images,” Vidb. Obrob. Inf., Issue 36 (112), 91–97 (2012).

  16. The R Project for Statistical Computing, http://cran.r-project.org.

  17. J. Lopez De La Cruz, S. P. Kuniewski, J. M. Van Noortwijk, and M. A. Gutierrez, “Spatial nonhomogeneous Poisson point process in corrosion management,” J. Electrochem. Soc., 155, No. 8, C396–C406 (2008).

    Article  Google Scholar 

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Correspondence to R. Ya. Kosarevych.

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Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 51, No. 5, pp. 75–81, September–October, 2015.

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Kosarevych, R.Y., Rusyn, B.P. & Tors’ka, R.V. Modeling of the Propagation of Pitting Corrosion by Point Processes. Mater Sci 51, 673–681 (2016). https://doi.org/10.1007/s11003-016-9890-8

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