Analysis of the Initial Corrosion Stage of a Steel Disk Under the Influence of Stress

Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


As known, there are many types of metals corrosion, which in turn leads to the appearance of cracks, which bring the details of mechanical engineering out of operation. The work investigates the corrosion of an isotropic stress disk. To analyze the effect of corrosion on the disk operation, the method of singular integral equations is used. We conducted a literature review of this topic. We showed the solution of singular integral equations. The asymptotic stress values of an isotropic medium with a corrosion crack in the field of centrifugal forces are obtained. The analysis of the stress state of an isotropic steel disk was carried out depending on the shape, size, and location of the damage. The problem of a fixed disk with a crack, which shores are loaded with normal pressure, is considered. We built graphical illustrations that confirm the dependence of cracks appearing on the load, and also prove the compensation of load by increasing the number of cracks.


Corrosion Steel Stress intensity 


  1. 1.
    Sedriks, A.J.: Corrosion of Stainless Steels. Wiley-Interscience, New York (1996)Google Scholar
  2. 2.
    Afifi, M.A.: Corrosion behavior of zinc-graphite metal matrix composite in 1 M of HCl. Hindawi Publishing Corporation ISRN Corrosion 3, 1–8 (2014)Google Scholar
  3. 3.
    Mohamed, T.F.H., El Rehim, S.S., Ibrahim, M.A.M.: Improving the corrosion behavior of ductile cast iron in sulphuric acid by heat treatment. Der Chemica Sinica 8(6), 513–523 (2017)Google Scholar
  4. 4.
    Dwivedi, D., Lepková, K., Becker, T.: Carbon steel corrosion: a review of key surface properties and characterization methods. RSC Adv. 7, 4580–4610 (2017)CrossRefGoogle Scholar
  5. 5.
    Ekemini, B.I., Uwemedimo E.U.: Phytochemical profile, adsorptive and Inhibitive behaviour of Costus afer extracts on aluminium corrosion in hydrochloric acid. Der Chemica Sinica, 3(6), 1394–1405 (2012)Google Scholar
  6. 6.
    Guo, L., Ren, X., Zhou, Y., Shenying, X., Gong, Y., Zhang, S.: Theoretical evaluation of the corrosion inhibition performance of 1,3-thiazole and its amino derivatives. Arab. J. Chemistry 10, 121–130 (2017)CrossRefGoogle Scholar
  7. 7.
    Ju, H., Duan, J.Z., Yang, Y., Cao, N., Li, Y.: Mapping the galvanic corrosion of three coupled metal alloys using coupled multi electrode array: influence of chloride ion concentration. Materials, 2(4), 634 (2018)Google Scholar
  8. 8.
    Zhylenko, T., Shuda, I.: Mathematical methods for analysis of electrolytic-plasma processing of metals and their corrosion. In: Proceedings of the 2018 IEEE 8th International Conference on Nanomaterials: Applications and Properties, vol. 4, no. 4, pp. 04NNS27 (2018)Google Scholar
  9. 9.
    Chen, C., Kolednik, O.: Comparison of cohesive zone parameters and crack tip stress states between two different specimen types. Mater. Sci. 132, 135–152 (2005)Google Scholar
  10. 10.
    Kotousov, A.: Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates. Int. J. Solids Struct. 47, 1916–1923 (2010)CrossRefGoogle Scholar
  11. 11.
    Mathur, K., Needleman, A., Tvergaard, V.: Three dimensional analysis of dynamic ductile crack growth in a thin plate. Mater. Sci. 443, 439–464 (1996)Google Scholar
  12. 12.
    Chen, C.R., Kolednik, O., Heerens, J., Fischer, F.D.: Three-dimensional modeling of ductile crack growth: cohesive zone parameters and crack tip triaxility. Eng. Fract. Mech. 72, 2072–2094 (2005)CrossRefGoogle Scholar
  13. 13.
    Minavarб, V.: Mir-Salimzade: Mminimization on the stressed state of a stringer plate with a hole and rectilinear cracks. J. Mech. Eng. 22(2), 59–68 (2019)CrossRefGoogle Scholar
  14. 14.
    Vigdergauz, S.: Simply and doubly periodic arrangements of the equi stress holes in a perforated elastic plane: the single-layer potential approach. Math. Mech. Solids 23(5), 805–819 (2018)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Moresco, R., Bittencourt, E.: Numerical study of fatigue crack growth considering an elastic–plastic layer in mixed-mode loading. Int. J. Fract. 1, 1–9 (2019)Google Scholar
  16. 16.
    Wang, B., Siegmund, T.: A numerical analysis of constraint effects in fatigue crack growth by use of an irreversible cohesive zone model. Int. J. Fract. 132(2), 175–196 (2005)CrossRefGoogle Scholar
  17. 17.
    Wang, B., Siegmund, T.: Numerical simulation of constraint effects in fatigue crack growth. Int. J. Fatigue 27, 1328–1334 (2005)CrossRefGoogle Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Sumy State UniversitySumyUkraine

Personalised recommendations