Skip to main content
Log in

Reliability of Steel Cylindrical Pressure Vessel Dividers in the Presence of Corrosion: Experiment and Simulation

  • Published:
International Journal of Steel Structures Aims and scope Submit manuscript

Abstract

The Monte Carlo simulation method can easily provide an accurate estimate of the probability of failure. However, for complex engineering problems with a low probability of failure, it may be inappropriate to provide an inefficient estimate of the probability of failure. In this study, tests investigations were performed on pressure vessel separator plates made of marine steel A36 ASTM, which exhibited corrosion on all plates, and occurred during multiple operations. The results of the tensile tests show that the areas of fracture of the specimens were observed as follows: near the gage, in the allowable area, on the line of the gage, and outside. The data obtained here provide a quantitative understanding and benchmark of the tensile behavior of corroded plates. Strain energy and maximum force varied in corrosion rate (\(\eta\)) between 10 and 24 fluctuated, while for \(\eta > 24\) decreased significantly. A series of simulations based on the Monte Carlo method was performed to determine the effects of corrosion rate and thickness variance on the overall behavior. The results of the two methods show that the values of the mechanical properties of the corroded specimens are scattered and follow a statistically normal distribution.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Abood, T. H. (2008). The influence of various parameters on pitting corrosion of 316L and 202 stainless. M.Sc. Thesis, Chemical Engineering Department, University of Technology, Ministry of Higher Education and Scientific Research.

  • Amaya-Gomezad, R., Riascos-Ochoac, J., Munoza, F., Bastidas-Arteagad, E., Schoefs, F., & Sanchez-Silva, M. (2019b). Modeling of pipeline corrosion degradation mechanism with a Lévy Process based on ILI (In-Line) inspections. International Journal of Pressure Vessels and Piping, 172, 261–271. https://doi.org/10.1016/j.ijpvp.2019.03.001

    Article  Google Scholar 

  • Amaya-Gomezad, R., Sanchez-Silva, M., Bastidas-Arteaga, E., Schoefs, F., & Munoz, F. (2019a). Reliability assessments of corroded pipelines based on internal pressure: A review. Engineering Failure Analysis, 98, 190–214. https://doi.org/10.1016/j.engfailanal.2019.01.064

    Article  Google Scholar 

  • American Association State Highway and Transportation Officials Standard. (2003). Standard test methods for tension testing of metallic materials. ASTM Standard. E 8-03, 1–23.

  • Belhamidi, S., Larif, M., Jamal, K., Elhannouni, F., & Elmidaoui, A. (2014). Demineralization of boiler feed wear for the thermal power stations: Study of mineral and organic fouling of reverse osmosis membranes. International Journal of Advanced Research in Computer Science and Software Engineering, 4(8), 86–91.

    Google Scholar 

  • Bhardwaj, U., Teixeira, A. P., & Guedes, S. C. (2020). Uncertainty in the reliability of thick high strength pipelines with corrosion defects subjected to internal pressure. International Journal of Pressure Vessels and Piping, 188, 1–17. https://doi.org/10.1016/j.ijpvp.2020.104170

    Article  Google Scholar 

  • Bhardwaj, U., Teixeira, A. P., Guedes, S. C., Samdani, A. M., Punurai, W., & Asavadorndeja, P. (2019). Reliability assessment of thick high strength pipelines with corrosion defects. International Journal of Pressure Vessels and Piping, 177, 1–12. https://doi.org/10.1016/j.ijpvp.2019.103982

    Article  Google Scholar 

  • Bilyi, O. L., Dmytrakh, I. M., & Barna, R. A. (2009). Evaluation of the serviceability and fracture hazard for a Feeding pipeline with corrosion defects. Materials Science, 45(2), 238–247. https://doi.org/10.1007/s11003-009-9174-7

    Article  Google Scholar 

  • Caleyo, F., Gonzalez, J. L., & Hallen, J. M. (2002). A study on the reliability assessment methodology for pipelines with active corrosion defects. International Journal of Pressure Vessels and Piping, 79(1), 77–86. https://doi.org/10.1016/j.ijpvp.2016.11.007

    Article  Google Scholar 

  • Cerit, M. (2019). Corrosion pit-induced stress concentration in the spherical pressure vessel. Thin-Walled Structures, 136, 106–112. https://doi.org/10.1016/j.tws.2018.12.014

    Article  Google Scholar 

  • Chaaba, A. (2013). Reliability assessment by analytical calculation of the plastic collapse load of thin pressure vessels with strain hardening and large deformation. Thin-Walled Structures, 62, 46–52. https://doi.org/10.1016/j.tws.2012.08.001

    Article  Google Scholar 

  • Choi, Y., Ahn, J., & Chang, D. (2021). Time-dependent reliability analysis of plate-stiffened prismatic pressure vessel with corrosion. Mathematics, 9(13), 1–19. https://doi.org/10.3390/math9131544

    Article  Google Scholar 

  • Diniz, J. L. C., Vieira, R. D., Castro, J. T., Benjamin, A. C., & Freire, J. L. F. (2006). Stress and strain analysis of pipelines with localized metal loss. Experimental Mechanics, 46(6), 765–775. https://doi.org/10.1007/s11340-006-9826-6

    Article  Google Scholar 

  • Fenga, Q., Yana, B., Chena, P., & Shirazi, S. A. (2019). Failure analysis and simulation model of pinhole corrosion of the refined oil pipeline. Engineering Failure Analysis, 106, 1–28. https://doi.org/10.1016/j.engfailanal.2019.104177

    Article  Google Scholar 

  • Filip, A. C., Vasiloni, M. A., Mihail, L. A., Oansea, G., & Dragogi, M. V. (2009). Experimental research on the machinability of Hardox steel by abrasive waterjet cutting. MATEC Web of Conferences, 94, 1–8. https://doi.org/10.1051/matecconf/20179403003

    Article  Google Scholar 

  • Frankel, G. S. (1998). Pitting corrosion of metals: A review of the critical factors. Journal of the Electrochemical Society, 145(6), 5. https://doi.org/10.1149/1.1838748

    Article  Google Scholar 

  • Gao, J., Yang, P., Li, X., Zhou, J., & Liu, J. (2019). Analytical prediction of failure pressure for the pipeline with long corrosion defect. Ocean Engineering, 191, 1–16. https://doi.org/10.1016/j.oceaneng.2019.106497

    Article  Google Scholar 

  • Golchinvafa, A., Mousavi-Anijdan, S. H., Sabzi, M., & Sadeghi, M. (2020). The effect of natural inhibitor concentration of fumaria Officinalis and temperature on corrosion protection mechanism in API X80 pipeline steel in 1MH2SO solution. International Journal of Pressure Vessels and Piping, 188, 1–9. https://doi.org/10.1016/j.ijpvp.2020.104241

    Article  Google Scholar 

  • Gong, C., & Zhou, W. (2017). First-order reliability method-based system reliability analyses of corroding pipelines considering multiple defects and failure modes. Structure and Infrastructure Engineering, 13(11), 1461. https://doi.org/10.1080/15732479.2017.1285330

    Article  Google Scholar 

  • Griggs, J., Lavinge, O., & Gamboa, E. (2018). Modeling 3D interaction limits of inclined stress corrosion cracking in pressurized gas pipelines. International Journal of Pressure Vessels and Piping, 168, 110–116. https://doi.org/10.1016/j.ijpvp.2019.03.001

    Article  Google Scholar 

  • Guohua, C., & Shuho, D. (1996). Study on the reliability assessment methodology for pressure vessels containing defects. International Journal of Pressure Vessels and Piping, 69(3), 273–277. https://doi.org/10.1016/0308-0161(96)00010-5

    Article  Google Scholar 

  • Gutman, E. M., Haddad, J., & Bergman, R. (2004). Stability of thin-walled high-pressure cylindrical pipes with variable wall thickness subjected to corrosion. In Thin-walled structures (1st edn, pp. 799–806). CRC Press, Taylor and Francis Group. ISBN: 9781351077309.

  • Gutman, E. M., Haddad, J., & Bergman, R. (2000). Reliability assessment by analytical calculation of the plastic collapse load of thin pressure vessels with strain hardening and large deformation. Thin-Walled Structures, 38(1), 43–52. https://doi.org/10.1016/S0263-8231(00)00024-0

    Article  Google Scholar 

  • Jayanto, S. T., Chendra, M., & Wijayanta, A.T. (2019). Estimating corrosion rate and remaining life of a pressure vessel of H2S absorber. In The 4th international conference on industrial, mechanical, electrical, and chemical engineering AIP conference proceedings (Vol. 2097, pp. 1–8). https://doi.org/10.1063/1.5098182.

  • Kapooria, R. K., Kumar, S., & Kasana, K. S. (2008). An analysis of a thermal power plant working on a Rankine cycle: A theoretical investigation. Journal of Energy in Southern Africa, 19(1), 77–83.

    Article  Google Scholar 

  • Leira, B. J., Naess, A., & Brandrud Naess, O. E. (2013). Reliability analysis of corroding pipelines by enhanced Monte Carlo simulation. In Research, and applications in structural engineering, mechanics and computation (1st edn, pp. 737–738). CRC Press. ISBN: 9780429227769.

  • Li, X., & Duan, C. (2017). Design of pressure vessel cylinder based on reliability analysis, Advances in Engineering Research, 123, 623–626. In 2nd International conference on materials science, machinery and energy engineering (MSMEE 2017).

  • Liang, Z., Xiao, Y., & Zhang, J. (2018). Stress-strain analysis of a pipeline with inner and outer corrosion defects. Journal of Pressure Vessel and Technology, 140(6), 1–6. https://doi.org/10.1115/1.4041434

    Article  Google Scholar 

  • Liu, F., Yang, Y., & Xi, F. (2020). Tensile fracture behavior of corroded pipeline: Part II: Numerical simulation based on Monte Carlo method. Advances in Materials Science and Engineering, 1–16. Article ID 5708969. https://doi.org/10.1155/2020/5708969.

  • Lou, X., Pathania, R., & Andersen, P. L. (2017). Effects of chloride transients on stress corrosion crack in pressure vessel low alloy steels in high-temperature water. Corrosion Science, 126, 305–316. https://doi.org/10.1016/j.corsci.2017.07.013

    Article  Google Scholar 

  • Manikandan, R., & Nagarajan, K. J. (2017). Probabilistic stress analysis of cylindrical pressure vessel under internal pressure using Mont Carlo simulation method. International Journal of Current Engineering and Scientific Research, 49(4), 71–76.

    Google Scholar 

  • McCafferty, E. (2010). Introduction to corrosion science. Springer.

    Book  Google Scholar 

  • Melo, C., Dann, M., Hugo, R. J., & Janeta, A. (2020). Extreme value modeling of localized internal corrosion in unpiggable pipelines. International Journal of Pressure Vessels and Piping, 182, 1–8, 104055. https://doi.org/10.1016/j.ijpvp.2020.104055.

  • Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., & Teller, A. H. (1953). Equation of state calculation by fast Computing machines. The Journal of Chemical Physics, 21, 1087–1092. https://doi.org/10.1063/1.1699114

    Article  MATH  Google Scholar 

  • Metropolis, N., & Ulam, S. (1949). The Monte Carlo method. Journal of the American Statistical Association, 44, 335–341. https://doi.org/10.1080/01621459.1949.10483310

    Article  MathSciNet  MATH  Google Scholar 

  • Nie, B., Xu, S., & Wang, Y. (2020). Time-dependent reliability analysis of corroded steel beam. KSCE Journal of Civil Engineering, 24(1), 255–265. https://doi.org/10.1007/s12205-020-1478-z

    Article  Google Scholar 

  • Que, Z., Seifert, H. P., Spatig, J. P., Holzer, A., Zhang, G. S., & Rao, S. R. (2019). Environmental degradation of fracture resistance in high-temperature water environments of low-alloy reactor pressure vessel steels with high sulfur or phosphorus contents. Corrosion Science, 154, 191–207. https://doi.org/10.1016/j.corsci.2019.04.011

    Article  Google Scholar 

  • Rubinstein, R. Y., & Kroese, D. P. (2017). Simulation and the Monte Carlo Method (3rd ed.). Wiley.

    MATH  Google Scholar 

  • Saad-Eldeen, S., & Guedes, S. C. (2009). Effect of pitting corrosion on the collapse strength of rectangular plates under axial compression. In Analysis and design of marine structures (1st edn, pp. 231–236). CRC Press, Taylor and Francis Group. ISBN: 9780429206795.

  • Sakai, S., & Kaida, T. (2017). Efficient fitting procedure for corrosion rate distribution in view of reliability analysis. In ASME pressure vessels and piping conference, operations, applications, and components (Vol. 7, pp. 1–6), July 16–20, Waikoloa, Hawaii, USA. https://doi.org/10.1115/PVP2017-65030.

  • Schleicher, R., Raffray, R. A., & Wong, C. P. (2001). An assessment of the Brayton cycle for high-performance power plants. In Fusion technology 39(2P2): Proceedings of the fourteenth tropical meeting on the technology of fusion energy (pp. 823–827). https://doi.org/10.13182/FST01-A11963341.

  • Shintaku, Y., Iwamatsu, F., Suga, K., Wada, Y., & Kikuchi, M. (2015). Simulation of stress corrosion cracking in in-core monitor housing of nuclear power plant. Journal of Pressure Vessel and Technology, 137(4), 1–13. https://doi.org/10.1115/1.4028735

    Article  Google Scholar 

  • Tantichattanont, P., Adluri, S. M. R., & Seshadri, R. (2007). Reliability of pipelines with corrosion defects. International Journal of Pressure Vessels and Piping, 84(12), 749–761. https://doi.org/10.1016/j.ijpvp.2006.12.004

    Article  Google Scholar 

  • Teixeira, A. P., Guedes, S. C., Netto, T. A., & Stefen, S. F. N. (2008). Reliability of pipelines with corrosion defects. International Journal of Pressure Vessels and Piping, 85(4), 228–237. https://doi.org/10.1016/j.ijpvp.2007.09.002

    Article  Google Scholar 

  • Vanaei, H. R., Eslami, A., & Egbewande, A. (2017). A review on pipeline corrosion, in-line inspection (ILI), and corrosion growth rate models. International Journal of Pressure Vessels and Piping, 149, 43–54. https://doi.org/10.1016/j.ijpvp.2016.11.007

    Article  Google Scholar 

  • Wang, H., Yu, Y., Yu, J., Duan, J., Zhang, Y., Li, Z., & Wang, C. (2018a). Effect of 3D random pitting defects on the collapse pressure of the pipe, Part I: Experiment. Thin-Walled Structures, 129, 512–526. https://doi.org/10.1016/j.tws.2018.04.015

    Article  Google Scholar 

  • Wang, H., Yu, Y., Yu, J., Jin, C., Zhao, Y., Fan, Z., & Zhang, Y. (2018b). Effect of 3D random pitting defects on the collapse pressure of the pipe, Part II: Numerical analysis. Thin-Walled Structures, 129, 527–541. https://doi.org/10.1016/j.tws.2018.04.014

    Article  Google Scholar 

  • Wang, Y., Dann, M. R., & Zhang, P. (2020). Reliability analysis of corroded pipelines considering 3D Defect growth. Thin-Walled Structures, 157(1–8), 107028. https://doi.org/10.1016/j.tws.2020.107028

    Article  Google Scholar 

  • Wang, Y., Wharton, J. A., & Shenoi, R. A. (2014). Ultimate strength analysis of aged steel-plated structures exposed to marine corrosion damage: A review. Corrosion Science, 86, 42–60. https://doi.org/10.1016/j.corsci.2014.04.043

    Article  Google Scholar 

  • Xu, L. Y., & Cheng, Y. F. (2012). Reliability and failure pressure prediction of various grades of pipeline steel in the of corrosion defects and pre-strain. International Journal of Pressure Vessels and Piping, 89, 75–84. https://doi.org/10.1016/j.ijpvp.2011.09.008

    Article  Google Scholar 

  • Yang, Y., Liu, F., & Xi, F. (2020). Tensile fracture behavior of corroded pipeline: Part I: Experimental characterization. Advances in Materials Science and Engineering, 4058452, 1–14. https://doi.org/10.1155/2020/4058452

    Article  Google Scholar 

  • Zhang, S., & Zhou, W. (2014). An efficient methodology for the reliability analysis of corroding pipelines. ASME, Journal of Pressure Vessel Technology, 136(4), 041701. https://doi.org/10.1115/1.4026797

    Article  Google Scholar 

  • Zhou, J. (2005). Reliability assessment method for pressure piping containing circumferential defects based on fuzzy probability. International Journal of Pressure Vessels and Piping, 82(9), 669–678. https://doi.org/10.1016/j.ijpvp.2005.04.003

    Article  Google Scholar 

  • Zhou, W. (2010). System reliability of corroding pipelines. International Journal of Pressure Vessels and Piping, 87(10), 587–595. https://doi.org/10.1016/j.ijpvp.2010.07.011

    Article  Google Scholar 

Download references

Acknowledgements

Thanks, and appreciation to the head of Sanandaj Gholyan Combined Cycle Power Plant for with/without corroded steel plates, and the Razi Metallurgical Research Center (Tehran, Iran) to perform the present research experiments with extreme accuracy (tensile tests and SEM of samples).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. Habibi.

Ethics declarations

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Habibi, N., Mohammadi, S. & Ghafary, H. Reliability of Steel Cylindrical Pressure Vessel Dividers in the Presence of Corrosion: Experiment and Simulation. Int J Steel Struct 23, 599–612 (2023). https://doi.org/10.1007/s13296-023-00715-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13296-023-00715-5

Keywords

Navigation