On the mechanochemical corrosion of a pipe with a thickness deviation under the action of external and internal pressure

Keywords: mechanochemical corrosion, finite element analysis, strength, pipeline, pipe out-of-roundness, thickness deviation


The paper deals with the computer modeling of internal mechanochemical corrosion of a long pipe line section under the internal and external corrosion pressure. The outer boundary of the pipe cross-section is circular, while the inner surface is elliptical. The author studied the task in a two-dimensional installation. Many decisions related to the irregular mechanochemical wear are based on the hypothesis suppositions about the retention of a definite shape of a corroding product. However, mentioned analytical solution gives a significantly overestimated lifetime if the pipe has the initial deviation in the wall thickness even within the permissible tolerance. In this way, computer modeling is a good approach to solve such problems of defective pipes. Using the finite elements technique (FET) in MATLAB environment, the author carried out the numerical experiment for a certain example for studying the influence of pipe thickness deviation on its service life. The study showed that even a slight thickness deviation of a pipe wall causes the stress concentration and the existence of the mechanochemical corrosion causes larger variation in thickness. Moreover, both thinning and thickening of the pipe wall lead to a reduction in its durability. In this way, the more the internal and external pressure difference, the stronger the mechanochemical effect and the shorter the service life of a pipe. The greatest increase in the absolute values of stresses is observed at the vertices of the inner elliptical boundary of a pipe where its thickness has minimum values.

Author Biography

Shixiang Zhao, St. Petersburg University, St. Petersburg (Russia)

graduate student


Gutman E.M. Mechanochemistry of Solid Surfaces. Singapore, World Scientific, 1994. 332 p.

Rusanov A.I. Termodinamicheskie osnovy mekhanokhimiii [Thermodynamic foundations of mechanochemistry]. St. Petersburg, Nauka Publ., 2006. 221 p.

Rusanov A.I. Thermodynamic aspects of materials science. Russian Chemical Reviews, 2016, vol. 85, no. 1, pp. 1–13.

Elishakoff I., Ghyselinck G., Miglis Y. Durability of an Elastic Bar Under Tension With Linear or Nonlinear Relationship Between Corrosion Rate and Stress. Journal of Applied Mechanics, 2012, vol. 79, no. 2, pp. 021013.

Gutman E., Bergman R., Levitsky S. Influence of internal uniform corrosion on stability loss of a thin-walled spherical shell subjected to external pressure. Corrosion Science, 2016, vol. 111, pp. 212–215.

Fridman M.M., Elishakoff I. Design of bars in tension or compression exposed to a corrosive environment. Ocean Systems Engineering, 2015, vol. 5, no. 1, pp. 21–30.

Pronina Y. Design of pressurised pipes subjected to mechanochemical corrosion. Advances in Engineering Materials, Structures and Systems: Innovations, Mechanics and Applications. London, CRC Press, 2019, pp. 644–649.

Pronina Y., Sedova O., Grekov M., Sergeeva T. On corrosion of a thin-walled spherical vessel under pressure. International Journal of Engineering Science, 2018, vol. 130, pp. 115–128.

Sedova O.S., Pronina Y.G., Kuchin, N.L. A thin-walled pressurized sphere exposed to external general corrosion and nonuniform heating. AIP Conference Proceedings, 2018, vol. 1959, p. 070032. DOI: 10.1063/1.5034707.

Prevost J. H., Baker T. J., Liang J., Suo Z. A finite element method for stress-assisted surface reaction and delayed fracture. International Journal of Solids and Structures, 2001, vol. 38, no. 30–31, pp. 5185–5203.

Tang Z., Li Q. Advances in research of stress-assisted corrosion fatigue problem. Journal of Zhejiang University-Science A, 2007, vol. 8, no. 2, pp. 221–227.

Awrejcewicz J., Krysko A.V., Krylova E.Y., Yaroshenko T.Y., Zhigalov M.V., Krysko V.A. Analysis of flexible elastic-plastic plates/shells behaviour under coupled mechanical/thermal fields and one-sided corrosion wear. International Journal of Non-Linear Mechanics, 2020, vol. 118, p. 103302. DOI: 10.1016/j.ijnonlinmec.2019.103302.

Charles R.J., Hillig W.B. The kinetics of glass failure by stress corrosion. Symposium on Mechanical Strength of Glass and Ways of Improving it. Charleroi, Union Scientifique Continentale du Verre, 1961, pp. 511–527.

Miglis Y., Elishakoff I., Presuel-Moreno F. Analysis of a cracked bar under a tensile load in a corrosive environment. Ocean Systems Engineering, 2013, vol. 3, no. 1, pp. 001–008.

Pronina Y.G., Khryashchev S.M. Mechanochemical growth of an elliptical hole under normal pressure. Materials Physics and Mechanics, 2017, vol. 31, no. 1–2, pp. 52–55.

Stareva I., Pronina Y. Modelling the general corrosion of a steel tube under its own weight. Procedia Structural Integrity, 2017, vol. 6, pp. 48–55.

Dolindky V.M. Calculation of loaded pipes subject to corrosion. Khimicheskoe i neftekhimicheskoe mashinostroenie, 1967, no. 2, pp. 9–10.

Zhao S., Pronina Y. On the MATLAB finite element modelling of an elastic plane with a hole under tension. 2017 Constructive Nonsmooth Analysis and Related Topics (Dedicated to the Memory of V.F. Demyanov), CNSA 2017 – Proceedings. St. Petersburg, 2017, p. 7974036. DOI: 10.1109/CNSA.2017.7974036.

Zhao S., Pronina Y. On the stress state of a pressurised pipe with an initial thickness variation, subjected to non-homogeneous internal corrosion. E3S Web of Conferences, 2019, vol. 121, p. 01013. DOI: 10.1051/e3sconf/201912101013.

Zhao Sh. Algorithm for calculating the stress state of a plate with an elliptical hole in MATLAB. Protsessy upravleniya i ustoychivost, 2017, vol. 4, no. 1, pp. 251–255.

Pavlov P.A., Kadyrbekov B.A., Kolesnikov V.A. Prochnost staley v korrozionnykh sredakh [Strength of steels in corrosive environments]. Alma-Ata, Nauka Publ., 1987. 272 p.

Pronina Y.G. An analytical solution for the mechanochemical growth of an elliptical hole in an elastic plane under a uniform remote load. European Journal of Mechanics - A/Solids, 2017, vol. 61, pp. 357–363.

Technical Sciences