Probabilistic modelling of the ultimate strength of ship plates with nonuniform corrosion
 A. P. Teixeira,
 C. Guedes Soares,
 G. Wang
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This paper presents the results of a parametric study of probabilistic modelling of the ultimate strength of ship plates with nonuniform corrosion represented by random fields. The loadshortening behaviour of the plates with nonuniform reduction of thickness due to corrosion under longitudinal compression is obtained using a generalpurpose nonlinear finite element analysis program. A nonlinear timedependent 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 nonuniform corrosion are developed. Finally a regression equation is proposed to take into account the effect of nonuniform corrosion patterns in the predictions of the ultimate strength of plates with uniform corrosion.
 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
 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
 Guedes Soares, C (1992) Design equation for ship plate elements under uniaxial compression. J Constr Steel Res 22: pp. 99114 CrossRef
 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
 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
 Sadovský, Z, Guedes Soares, C, Teixeira, AP (2007) Random field of initial deflections and strength of thin plates. Reliability Eng Syst Saf 92: pp. 16591670 CrossRef
 Most, T, Bucher, C, Schorling, Y (2004) Dynamic stability analysis of nonlinear structures with geometrical imperfections under random loading. J Sound Vib 276: pp. 381400 CrossRef
 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
 Vanmarcke, EH (1983) Random fields: analysis and synthesis. MIT Press, Cambridge
 Kolanek, K, Jendo, S (2008) Random field models of geometrically imperfect structures with “clamped” boundary conditions. Probab Eng Mech 23: pp. 219226 CrossRef
 Sadovsky, Z, Drdacky, M (2001) Buckling of plate strip subjected to localised corrosion  a stochastic model. ThinWalled Struct 39: pp. 247259 CrossRef
 Guedes Soares, C (1988) Uncertainty modelling in plate buckling. Struct Saf 5: pp. 1734 CrossRef
 Guedes Soares, C, Garbatov, Y (1999) Reliability of maintained ship hulls subjected to corrosion and fatigue under combined loading. J Constr Steel Res 52: pp. 93115 CrossRef
 Hart, DK, Rutherford, SE, Wickham, AHS (1986) Structural reliability analysis of stiffened panels. Trans Roy Inst Nav Architects (RINA) 128: pp. 293310
 Shi, WB (1993) Inservice assessment of ship structures: effects of general corrosion on ultimate strength. Trans Soc Naval Archit Mar Eng 135: pp. 7791
 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
 Melchers, RE (2003) Probabilistic models for corrosion in structural reliability assessmentpart 1: empirical models. J Offshore Mech Arct Eng ASME 125: pp. 264271 CrossRef
 Jiang, X, Guedes Soares, C (2012) Ultimate capacity of rectangular plates with partial depth pits under uniaxial loads. Mar Struct 26: pp. 2741 CrossRef
 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: pp. 2734 CrossRef
 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: pp. 403432 CrossRef
 Nakai, T, Matsushita, H, Yamamoto, N, Arai, H (2004) Effect of pitting corrosion on local strength of hold frames of bulk carriers (2nd report)—lateraldistortional buckling and local face buckling. Mar Struct 17: pp. 612641 CrossRef
 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
 Teixeira, AP, Guedes Soares, C (2008) Ultimate strength of plates with random fields of corrosion. Struct Infrastruct Eng No. 5 4: pp. 363370 CrossRef
 Li, C–C, Kiureghian, A (1993) Optimal discretization of random fields. J Eng Mech 119: pp. 11361154 CrossRef
 Guedes Soares, C, Garbatov, Y (1999) Reliability of maintained corrosion protected plate subjected to nonlinear corrosion and compressive loads. Mar Struct 6 12: pp. 425446 CrossRef
 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: pp. 4855 CrossRef
 Garbatov, Y, Guedes Soares, C (2008) Corrosion wastage modelling of deteriorated bulk carrier decks. Int Shipbuild Prog 55: pp. 109125
 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: pp. 524541 CrossRef
 Guedes Soares, C, Garbatov, Y, Zayed, A, Wang, G (2008) Corrosion wastage model for the inside of ship crude oil tanks. Corros Sci 50: pp. 30953106 CrossRef
 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: pp. 20142026 CrossRef
 IMO (2005) Guidelines on the enhanced programme of inspections during surveys of bulk carriers and oil tankers Resolution A.744(18), as amended
 IACS (2008) Common structural rules for double hull oil tankers. International Association of Classification Societies (IACS)
 IACS (2004) PR 19Procedural requirement for thickness measurements, Revision 3, June 2004
 IACS (2006a) Guideline 77 Guidelines for the Surveyor on how to Control the Thickness Measurement Process, Revision 2, April 2006
 IACS (2006b) UR ZRequirements concerning Survey and Certification. Revision 12, 2006
 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
 Teixeira, AP, Guedes Soares, C (2008) Simulation of inspections on ship plates with random corrosion patterns. J Ship Prod 24: pp. 168175
 Guedes Soares, C, Ivanov, LD (1989) Timedependent reliability of the primary ship structure. Reliability Eng Syst Saf 26: pp. 5971 CrossRef
 Guo, J, Wang, G, Ivanov, L, Perakis, AN (2008) A study on reliabilitybased inspection planning—application to deck plate thickness measurement of aging tankers. Mar Struct 21: pp. 408419 CrossRef
 Melchers, RE (2003) Probabilistic models for corrosion in structural reliability assessmentpart 2: models based on mechanics. J Offshore Mech Arct Eng ASME 125: pp. 272280 CrossRef
 Paik, J, Jae, L, Joon, H, Young, P (2003) A Timedependent corrosion wastage model for the structures of single and double hull tankers and FSOs and FPSOs. Mar Technol 40: pp. 201217
 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: pp. 121128 CrossRef
 Paik, JK, Kim, SK, Lee, SK (1998) Probabilistic corrosion rate estimation model for longitudinal strength members of bulk carriers. Ocean Eng 25: pp. 837860 CrossRef
 Teixeira, AP, Guedes Soares, C (2001) Strength of compressed rectangular plates subjected to lateral pressure. J Constr Steel Res 57: pp. 491516 CrossRef
 Liu, PL, Kiureghian, A (1991) Finite element reliability of geometrically nonlinear uncertain structures. J Eng Mech 117: pp. 18061825 CrossRef
 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
 Schuëller, GI (1997) A stateoftheart report on computational stochastic mechanics. Probab Eng Mech 12: pp. 285308 CrossRef
 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
 Chen NZ, Guedes Soares C (2008) Spectral stochastic finite element analysis for laminated composite plates. Comput Meth Appl Mech Eng 197(51–52):4830–4839
 Faulkner, D (1975) A review of effective plating for use in the analysis of stiffened plating in bending and compression. J Ship Res 19: pp. 117
 Guedes Soares, C (1988) Design equation for the compressive strength of unstiffened plate elements with initial imperfections. J Constr Steel Res 9: pp. 287310 CrossRef
 Sadovský, Z, Páles, (1999) Thirdmoment identification of resistance by FORM. Build Res J 47: pp. 197213
 CEN (2002) Eurocode: basis of structural design. European standard, EN 1990, European Committee for Standardization (CEN), Brussels
 Guedes Soares C, Gordo JM (1996) Compressive strength of rectangular plates under biaxial load and lateral pressure. In: Thinwalled structures, vol 22. pp 231–259
 Title
 Probabilistic modelling of the ultimate strength of ship plates with nonuniform corrosion
 Journal

Journal of Marine Science and Technology
Volume 18, Issue 1 , pp 115132
 Cover Date
 20130301
 DOI
 10.1007/s0077301201977
 Print ISSN
 09484280
 Online ISSN
 14378213
 Publisher
 Springer Japan
 Additional Links
 Topics
 Keywords

 Nonuniform corrosion
 Plates
 Ultimate strength
 Monte Carlo simulation
 Ship structures
 Industry Sectors
 Authors

 A. P. Teixeira ^{(1)}
 C. Guedes Soares ^{(1)}
 G. Wang ^{(2)}
 Author Affiliations

 1. Centre for Marine Technology and Engineering (CENTEC), Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais, 1049001, Lisbon, Portugal
 2. American Bureau of Shipping, Singapore, Singapore