Skip to main content
SpringerLink
Log in

Probabilistic modelling of the ultimate strength of ship plates with non-uniform corrosion

  • Original article
  • Published:
Journal of Marine Science and Technology Aims and scope Submit manuscript

Abstract

This paper presents the results of a parametric study of probabilistic modelling of the ultimate strength of ship plates with non-uniform corrosion represented by random fields. The load-shortening behaviour of the plates with non-uniform reduction of thickness due to corrosion under longitudinal compression is obtained using a general-purpose nonlinear finite element analysis program. A nonlinear time-dependent corrosion model is used to define the probabilistic characteristics of the random fields based on corrosion data measured in plate elements at different locations of bulk carriers. Based on the probabilistic models derived by Monte Carlo simulation, equations to predict the mean and the 5 % characteristic value of the ultimate strength of plates with non-uniform corrosion are developed. Finally a regression equation is proposed to take into account the effect of non-uniform corrosion patterns in the predictions of the ultimate strength of plates with uniform corrosion.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. Guedes Soares C (1997) Probabilistic modelling of the strength of flat compression members. In: Guedes Soares C (ed) Probabilistic methods for structural design. Kluwer Academic Publishers, Dordrecht, pp 113–140

  2. Teixeira AP, Guedes Soares C (2011) Reliability assessment of plate elements with random properties. In: Guedes Soares C, Garbatov Y, Fonseca N, Teixeira AP (eds) Marine technology and engineering. Taylor & Francis Group, London, UK, pp 1361–1375

  3. Guedes Soares C (1992) Design equation for ship plate elements under uniaxial compression. J Constr Steel Res 22:99–114

    Article  Google Scholar 

  4. Guedes Soares C, Garbatov Y, Teixeira AP (2010) Methods of structural reliability applied to design and maintenance planning of ship hulls and floating platforms. In: Guedes Soares C (ed) Safety and reliability of industrial products, systems and structures. Taylor & Francis Group, London, pp 191–206

  5. Teixeira AP, Parunov J, Guedes Soares C (2011) Assessment of ship structural safety. In: Guedes Soares C, Garbatov Y, Fonseca N, Teixeira AP (eds) Marine technology and engineering. Taylor & Francis Group, London, pp 1377–1394

  6. Sadovský Z, Guedes Soares C, Teixeira AP (2007) Random field of initial deflections and strength of thin plates. Reliability Eng Syst Saf 92:1659–1670

    Article  Google Scholar 

  7. Most T, Bucher C, Schorling Y (2004) Dynamic stability analysis of nonlinear structures with geometrical imperfections under random loading. J Sound Vib 276:381–400

    Article  Google Scholar 

  8. Ditlevsen O (1991) Random field interpolation between point by point measures properties. In: Proceedings of the first international conference on computational stochastic mechanics. Corfu, Greece, Elsevier, Amsterdam, pp 801–812

  9. Vanmarcke EH (1983) Random fields: analysis and synthesis. MIT Press, Cambridge

    MATH  Google Scholar 

  10. Kolanek K, Jendo S (2008) Random field models of geometrically imperfect structures with “clamped” boundary conditions. Probab Eng Mech 23:219–226

    Article  Google Scholar 

  11. Sadovsky Z, Drdacky M (2001) Buckling of plate strip subjected to localised corrosion—a stochastic model. Thin-Walled Struct 39:247–259

    Article  Google Scholar 

  12. Guedes Soares C (1988) Uncertainty modelling in plate buckling. Struct Saf 5:17–34

    Article  Google Scholar 

  13. Guedes Soares C, Garbatov Y (1999) Reliability of maintained ship hulls subjected to corrosion and fatigue under combined loading. J Constr Steel Res 52(1):93–115

    Article  Google Scholar 

  14. Hart DK, Rutherford SE, Wickham AHS (1986) Structural reliability analysis of stiffened panels. Trans Roy Inst Nav Architects (RINA) 128:293–310

    Google Scholar 

  15. Shi WB (1993) In-service assessment of ship structures: effects of general corrosion on ultimate strength. Trans Soc Naval Archit Mar Eng 135:77–91

    Google Scholar 

  16. White GJ, Ayyub BM (1992) Determining the effects of corrosion on steel structures: a probabilistic approach. In: Guedes Soares C et al (eds) Proceedings of the 11th international conference on offshore mechanics and arctic engineering (OMAE’92), vol II. ASME, New York, USA, pp 45–52

  17. Melchers RE (2003) Probabilistic models for corrosion in structural reliability assessment-part 1: empirical models. J Offshore Mech Arct Eng ASME 125:264–271

    Article  Google Scholar 

  18. Jiang X, Guedes Soares C (2012) Ultimate capacity of rectangular plates with partial depth pits under uniaxial loads. Mar Struct 26:27–41

    Article  Google Scholar 

  19. Jiang X, Guedes Soares C (2012) A closed form formula to predict the ultimate capacity of pitted mild steel plate under biaxial compression. Thin Walled Struct 59:27–34

    Article  Google Scholar 

  20. Nakai T, Matsushita H, Yamamoto N, Arai H (2004) Effect of pitting corrosion on local strength of hold frames of bulk carriers (1st report). Mar Struct 17:403–432

    Article  Google Scholar 

  21. Nakai T, Matsushita H, Yamamoto N, Arai H (2004) Effect of pitting corrosion on local strength of hold frames of bulk carriers (2nd report)—lateral-distortional buckling and local face buckling-. Mar Struct 17:612–641

    Article  Google Scholar 

  22. Orisamolu IR (1998) Stochastic finite element method for the probabilistic residual strength assessment of corroded structures. In: Shiraishi N, Shinozuka M, Wen YK (eds) Structural safety and reliability. Balkema, Rotterdam, pp 143–150

  23. Teixeira AP, Guedes Soares C (2008) Ultimate strength of plates with random fields of corrosion. Struct Infrastruct Eng No. 5 4:363–370

    Article  Google Scholar 

  24. Li C–C, Der Kiureghian A (1993) Optimal discretization of random fields. J Eng Mech 119(6):1136–1154

    Article  Google Scholar 

  25. Guedes Soares C, Garbatov Y (1999) Reliability of maintained corrosion protected plate subjected to nonlinear corrosion and compressive loads. Mar Struct 6 12:425–446

    Article  Google Scholar 

  26. Garbatov Y, Guedes Soares C, Wang G (2007) Nonlinear time dependent corrosion wastage of deck plates of ballast and cargo tanks of tankers. J Offshore Mech Arct Eng 129(1):48–55

    Article  Google Scholar 

  27. Garbatov Y, Guedes Soares C (2008) Corrosion wastage modelling of deteriorated bulk carrier decks. Int Shipbuild Prog 55(1–2):109–125

    Google Scholar 

  28. Guedes Soares C, Garbatov Y, Zayed A (2011) Effect of environmental factors on steel plate corrosion under marine immersion conditions. Corros Eng Sci Technol 46(4):524–541

    Article  Google Scholar 

  29. Guedes Soares C, Garbatov Y, Zayed A, Wang G (2008) Corrosion wastage model for the inside of ship crude oil tanks. Corros Sci 50(11):3095–3106

    Article  Google Scholar 

  30. Guedes Soares C, Garbatov Y, Zayed A, Wang G (2009) Influence of environmental factors on corrosion of ship structures in marine atmosphere. Corros Sci 51(9):2014–2026

    Article  Google Scholar 

  31. IMO (2005) Guidelines on the enhanced programme of inspections during surveys of bulk carriers and oil tankers Resolution A.744(18), as amended

  32. IACS (2008) Common structural rules for double hull oil tankers. International Association of Classification Societies (IACS)

  33. IACS (2004) PR 19-Procedural requirement for thickness measurements, Revision 3, June 2004

  34. IACS (2006a) Guideline 77 -Guidelines for the Surveyor on how to Control the Thickness Measurement Process, Revision 2, April 2006

  35. IACS (2006b) UR Z-Requirements concerning Survey and Certification. Revision 12, 2006

  36. ABS (2001) Final report of Investigation into the damage sustained by the M.V. Castor on 30 December 2000, American Bureau of Shipping. http://www.eagle.org/news/press/castorreport.pdf

  37. Teixeira AP, Guedes Soares C (2008) Simulation of inspections on ship plates with random corrosion patterns. J Ship Prod 24(3):168–175

    Google Scholar 

  38. Guedes Soares C, Ivanov LD (1989) Time-dependent reliability of the primary ship structure. Reliability Eng Syst Saf 26:59–71

    Article  Google Scholar 

  39. Guo J, Wang G, Ivanov L, Perakis AN (2008) A study on reliability-based inspection planning—application to deck plate thickness measurement of aging tankers. Mar Struct 21:408–419

    Article  Google Scholar 

  40. Melchers RE (2003) Probabilistic models for corrosion in structural reliability assessment-part 2: models based on mechanics. J Offshore Mech Arct Eng ASME 125:272–280

    Article  Google Scholar 

  41. Paik J, Jae L, Joon H, Young P (2003) A Time-dependent corrosion wastage model for the structures of single and double hull tankers and FSOs and FPSOs. Mar Technol 40:201–217

    Google Scholar 

  42. Yamamoto N, Ikegami K (1998) A study on the degradation of coating and corrosion of ship’s hull based on the probabilistic approach. J Offshore Mech Arct Eng ASME 120:121–128

    Article  Google Scholar 

  43. Paik JK, Kim SK, Lee SK (1998) Probabilistic corrosion rate estimation model for longitudinal strength members of bulk carriers. Ocean Eng 25:837–860

    Article  Google Scholar 

  44. Teixeira AP, Guedes Soares C (2001) Strength of compressed rectangular plates subjected to lateral pressure. J Constr Steel Res 57:491–516

    Article  Google Scholar 

  45. Liu P-L, Der Kiureghian A (1991) Finite element reliability of geometrically nonlinear uncertain structures. J Eng Mech 117(8):1806–1825

    Article  Google Scholar 

  46. Ditlevsen O (1996) Dimension reduction and discretization in stochastic problems by regression method. In: Casciati F, Roberts B (eds) Mathematical models for structural reliability analysis. CRC Mathematical Modelling Series 2, pp 51–138

  47. Schuëller GI et al (1997) A state-of-the-art report on computational stochastic mechanics. Probab Eng Mech 12(4):285–308

    Article  Google Scholar 

  48. Matthies H, Brenner C, Bucher C, Guedes Soares C (1997) Uncertainties in probabilistic numerical analysis of structures and solids - stochastic finite elements. Struct Saf 19(3):283–336

    Google Scholar 

  49. Chen N-Z, Guedes Soares C (2008) Spectral stochastic finite element analysis for laminated composite plates. Comput Meth Appl Mech Eng 197(51–52):4830–4839

    Google Scholar 

  50. Faulkner D (1975) A review of effective plating for use in the analysis of stiffened plating in bending and compression. J Ship Res 19:1–17

    Google Scholar 

  51. Guedes Soares C (1988) Design equation for the compressive strength of unstiffened plate elements with initial imperfections. J Constr Steel Res 9:287–310

    Article  Google Scholar 

  52. Sadovský Z, Páles (1999) Third-moment identification of resistance by FORM. Build Res J 47:197–213

    Google Scholar 

  53. CEN (2002) Eurocode: basis of structural design. European standard, EN 1990, European Committee for Standardization (CEN), Brussels

  54. Guedes Soares C, Gordo JM (1996) Compressive strength of rectangular plates under biaxial load and lateral pressure. In: Thin-walled structures, vol 22. pp 231–259

Download references

Acknowledgments

This work has been funded by the American Bureau of Shipping under the projects “Condition Assessment of Ageing Ship Structures” and “Time-variant Reliability of Hull Structures”. The authors are grateful to the reviewer’s valuable comments that improved the manuscript.

Author information

Authors and Affiliations

  1. Centre for Marine Technology and Engineering (CENTEC), Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

    A. P. Teixeira & C. Guedes Soares

  2. American Bureau of Shipping, Singapore, Singapore

    G. Wang

Authors
  1. A. P. Teixeira
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Guedes Soares
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to C. Guedes Soares.

About this article

Cite this article

Teixeira, A.P., Guedes Soares, C. & Wang, G. Probabilistic modelling of the ultimate strength of ship plates with non-uniform corrosion. J Mar Sci Technol 18, 115–132 (2013). https://doi.org/10.1007/s00773-012-0197-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00773-012-0197-7

Keywords

Search

Navigation