Research Papers

Corrosion Reliability Analysis Considering the Coupled Effect of Mechanical Stresses

[+] Author and Article Information
Chaoyang Xie

School of Mechatronics Engineering, University of Electronic Science and Technology of China,
Chengdu 610054, China; Institution of System Engineering, China Academy of Engineering Physics,
Mianyang 621999, China

Pingfeng Wang

Department of Industrial and Manufacturing Engineering,
Wichita State University,
Wichita, KS 67260
e-mail: pingfeng.wang@wichita.edu

Zequn Wang

Department of Industrial and Manufacturing Engineering,
Wichita State University,
Wichita, KS 67260

Hongzhong Huang

School of Mechatronics Engineering, University of Electronic Science and Technology of China,
Chengdu 610054, China

1Corresponding author.

Manuscript received March 4, 2015; final manuscript received November 7, 2015; published online July 1, 2016. Assoc. Editor: Sankaran Mahadevan.

ASME J. Risk Uncertainty Part B 2(3), 031001 (Jul 01, 2016) (9 pages) Paper No: RISK-15-1034; doi: 10.1115/1.4032003 History: Received March 04, 2015; Accepted November 07, 2015

Corrosion is one of the most critical failure mechanisms for engineering structures and systems, as corrosion damages grow with the increase of service time, thus diminish system reliability gradually. Despite tremendous efforts, effectively carrying out reliability analysis considering the complicated coupling effects for corrosion remains to be a grand challenge. There is a substantial need to develop sophisticated corrosion reliability models and effective reliability analysis approaches considering corrosion damage growth under coupled effects such as mechanical stresses. This paper presents a physics-of-failure model for pitting corrosion with the coupled effect of corrosion environment and mechanical stresses. With the developed model, corrosion damage growth can be projected and corrosion reliability can be analyzed. To carry out corrosion reliability analysis, the developed pitting corrosion model can be formulated as time-dependent limit state functions considering pit to crack transition, crack growth, and fracture failure mechanics. A newly developed maximum confidence enhancement (MCE)-based sequential sampling approach is then employed to improve the efficiency of corrosion reliability analysis with the time-dependent limit state functions. A case study is presented to illustrate the efficacy of the developed physics-of-failure model for corrosion considering the coupled mechanical stress effects, and the new corrosion reliability analysis methodology.

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Melchers, R. E., 2005, “The Effect of Corrosion on the Structural Reliability of Steel Offshore Structures,” Corros. Sci., 47(10), pp. 2391–2410. 0010-938X 10.1016/j.corsci.2005.04.004
Hoeppner, D. W., and Arriscorreta, C. A., 2012, “Exfoliation Corrosion and Pitting Corrosion and Their Role in Fatigue Predictive Modeling: State-of-the-Art Review,” Int. J. Aerosp. Eng., 2012, p. 29. 10.1155/2012/191879
Yokobori, A. T., 2004, “The Mechanism of Hydrogen Embrittlement: The Stress Interaction Between a Crack, a Hydrogen Cluster, and Moving Dislocations,” Int. J. Fract., 128, pp. 121–131. 0376-9429 10.1023/B:FRAC.0000040974.59017.55
Elboujdaini, M., and Revie, R. W., 2009, “Metallurgical Factors in Stress Corrosion Cracking and Hydrogen-Induced Cracking,” J. Solid State Electrochem., 13(7), pp. 1091–1099. 10.1007/s10008-009-0799-0
Teixeira, A. P., Guedes Soares, C., Netto, T. A., and Estefen, S. F., 2008, “Reliability of Pipelines With Corrosion Defects,” Int. J. Press. Vessels Pip., 85(4), pp 228–237. 10.1016/j.ijpvp.2007.09.002
Anoop, M. B., Rao, K. B., and Lakshmana, N., 2008, “ Safety Assessment of Austenitic Steel Nuclear Power Plant Pipelines Against Stress Corrosion Cracking in the Presence of Hybrid Uncertainties,” Int. J. Press. Vessels Pip., 85(4), pp. 238–247. 10.1016/j.ijpvp.2007.09.001
Li, S., Yu, S., Zeng, H., Li, J., and Liang, R., 2009, “Predicting Corrosion Remaining Life of Underground Pipelines With a Mechanically-Based Probabilistic Model,” J. Pet. Sci. Eng., 65(3–4), pp. 162–166. 0920-4105 10.1016/j.petrol.2008.12.023
Qian, G., Niffenegger, M., and Li, S., 2011, “Probabilistic Analysis of Pipelines With Corrosion Defects by Using FITNET FFS Procedure,” Corros. Sci., 53(3), pp. 855–861. 0010-938X 10.1016/j.corsci.2010.10.014
Nuhi, M., Seer, T. A., Tamini, A. M., Modarres, M., and Seibi, A., 2011, “Reliability Analysis for Degradation Effects of Pitting Corrosion in Carbon Steel Pipes,” Proc. Eng., 10, pp. 1930–1935. 10.1016/j.proeng.2011.04.320
Paik, J. K., Kim, S. K., and Lee, S. K., 1998, “Probabilistic Corrosion Rate Estimation Model for Longitudinal Strength Members of Bulk Carriers,” Ocean Eng., 25(10), pp. 837–860. 0029-8018 10.1016/S0029-8018(97)10009-9
Melchers, R. E., 1999, “Corrosion Uncertainty Modeling for Steel Structures,” J. Constr. Steel Res., 52(1), pp. 3–19. 0143-974X 10.1016/S0143-974X(99)00010-3
Qin, S. P., and Cui, W., 2003, “Effect of Corrosion Model on the Time-Dependent Reliability of Steel Plated Elements,” Mar. Struct., 16(1), pp. 15–34. 10.1016/S0951-8339(02)00028-X
Melchers, R. E., 2005, “Representation of Uncertainty in Maximum Depth of Marine Corrosion Pits,” Struct. Saf., 27(4), pp. 322–334. 10.1016/j.strusafe.2005.02.002
Yu, S., Jieze, Y., and Tingchao, Y., 2010, “Mechanical Model and Probability Analysis of Buried Pipelines Failure Under Uniform Corrosion,” J. Zhejiang Univ., 44(6), pp. 1125–1230. 10.3785/j.issn.1008-973X.2010.06.032
Engelhardt, G., and Macdonals, D. D., 2004, “Unification of the Deterministic and Statistical Approaches for Predicting Localized Corrosion Damage. I. Theoretical Foundation,” Corros. Sci., 46(11), pp. 2755–2780. 0010-938X 10.1016/j.corsci.2004.03.014
Sheikh, A. K., Boah, J. K., and Hansen, D. A., 1990, “Statistical Modeling of Pitting Corrosion and Pipeline Reliability,” Corros. Sci., 46(3), pp. 190–197. 0010-938X 10.5006/1.3585090
Caleyo, F., and Velazquez, J. C., 2009, “Markov Chain Modelling of Pitting Corrosion in Underground Pipelines,” Corros. Sci., 51(9), pp. 2197–2207. 0010-938X 10.1016/j.corsci.2009.06.014
Valor, A., Caleyo, F., and Alfonso, L., 2007, “Stochastic Modeling of Pitting Corrosion: A New Model for Initiation and Growth of Multiple Corrosion Pits,” Corros. Sci., 49(2), pp. 559–579. 0010-938X 10.1016/j.corsci.2006.05.049
Zhang, T., Liu, X., Shao, Y., Meng, G., and Wang, F., 2008, “Electrochemical Noise Analysis on the Pit Corrosion Susceptibility of Mg-10Gd-2Y-0.5Zr, AZ91D Alloy and Pure Magnesium Using Stochastic Model,” Corros. Sci., 50(12), pp. 3500–3507. 0010-938X 10.1016/j.corsci.2008.09.033
Xu, L. Y., and Cheng, Y. F., 2012, “Reliability and Failure Pressure Prediction of Various Grades of Pipeline Steel in the Presence of Corrosion Defects and Pre-Strain,” Int. J. Press. Vessels Pip., 89, pp. 75–84. 10.1016/j.ijpvp.2011.09.008
Harlow, D. G., and Wei, R. P., 1994, “Probability Approach for Prediction of Corrosion and Corrosion Fatigue Life,” AIAA J., 32(10), pp. 2073–2079. 0001-1452 10.2514/3.12254
Shi, P., and Mahadevan, M., 2001, “Damage Tolerance Approach for Probabilistic Pitting Corrosion Fatigue Life Prediction,” Eng. Fract. Mech., 68(13), pp. 1493–1507. 0013-7944 10.1016/S0013-7944(01)00041-8
Wu, G., 2011, “A Probabilistic-Mechanistic Approach to Modeling Stress Corrosion Cracking Propagation in Alloy 600 Components With Applications,” Ms.D. Dissertation, University of Maryland.
Kondo, Y., 1989, “Prediction of Fatigue Crack Initiation Life Based on Pit Growth,” Corrosion, 45(1), pp. 7–11. 10.5006/1.3577891
Bedairi, B., Cronin, D., Hosseini, A., and Plumtree, A., 2012, “Failure Prediction for Crack-In-Corrosion Defects in Natural Gas Transmission Pipelines,” Int. J. Press. Vessels Pip., 96–97, pp. 90–99. 0308-0161 10.1016/j.ijpvp.2012.06.002
Harlow, D. G., and Wei, R. P., 1998, “A Probability Model for the Growth of Corrosion Pits in Aluminum Alloys Induced by Constituent Particles,” Eng. Fract. Mech., 53(3), pp. 205–325. 0013-7944 10.1016/S0013-7944(97)00127-6
Helton, J. C., and Davis, F. J., 2003, “Latin Hypercube Sampling and the Propagation of Uncertainty in Analyses of Complex Systems,” Reliab. Eng. Syst. Saf., 81(1), pp. 23–69. 10.1016/S0951-8320(03)00058-9
Hasofer, A. M., and Lind, N. C., 1974, “Exact and Invariant Second-Moment Code Format,” J. Eng. Mech. Div. ASCE, 100(1), pp. 111–121.
Tvedt, L., 1984, “Two Second-Order Approximations to the Failure Probability,” Section on Structural Reliability, A/S Vertas Research, Hovik.
Wang, L. P., and Grandhi, R. V., 1996, “Safety Index Calculation Using Intervening Variables for Structural Reliability,” Comput. Struct., 59(6), pp. 1139–1148. 10.1016/0045-7949(96)00291-X
Au, S. K., and Beck, J. L., 2001, “Estimation of Small Failure Probabilities in High Dimensions by Subset Simulation,” Probab. Eng. Mech., 16(4), pp. 263–277. 10.1016/S0266-8920(01)00019-4
Engelund, S., and Rackwitz, R., 1993, “A Benchmark Study on Importance Sampling Techniques in Structural Reliability,” Struct. Saf., 12(4), pp. 255–276. [CrossRef]
Rahman, S., and Xu, H. A., 2004, “A Univariate Dimension-Reduction Method for Multi-Dimensional Integration in Stochastic Mechanics,” Probab. Eng. Mech., 19(4), pp. 393–408. 0266-8920 10.1016/j.probengmech.2004.04.003
Lee, I., Choi, K. K., Du, L., and Gorsich, D., 2008, “Dimension Reduction Method for Reliability-Based Robust Design Optimization,” Spec. Issue Comput. Struct.: Struct. Multidiscip. Optim., 86(13–14), pp. 1550–1562. 10.1016/j.compstruc.2007.05.020
Xu, H., and Rahman, S., 2004, “A Generalized Dimension-Reduction Method for Multidimensional Integration in Stochastic Mechanics,” Int. J. Numer. Method Eng., 61(12), pp. 1992–2019. 10.1002/(ISSN)1097-0207
Ghanem, R. G., and Spanos, P. D., 1991, Stochastic Finite Elements: A Spectral Approach, Springer, New York.
Paffrath, M., and Wever, U., 2007, “Adapted Polynomial Chaos Expansion for Failure Detection,” J. Comput. Phys., 226, pp. 263–281. 10.1016/j.jcp.2007.04.011
Xiu, D., and Karniadakis, G. E., 2003, “The Wiener–Askey Polynomial Chaos for Stochastic Differential Equations,” SIAM J. Sci. Comput., 187(2), pp. 137–167.
Simpson, T. W., Mauery, T. M., Korte, J. J., and Mistree, F., 1998, “Comparison of Response Surface and Kriging Models for Multidisciplinary Design Optimization,” 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper No. AIAA-98-4755.
Xiong, Y., Chen, W., and Tsui, K., 2008, “A New Variable Fidelity Optimization Framework Based on Model Fusion and Objective-Oriented Sequential Sampling,” J. Mech. Des., 130(11), p. 111401. 10.1115/1.2976449
Queipo, N. V., Haftka, R. T., Shyy, W., Goel, T., Vaidyanathan, R., and Tucker, P. K., 2005, “Surrogate-Based Analysis and Optimization,” Prog. Aerosp. Sci., 41(1), pp. 1–28. 10.1016/j.paerosci.2005.02.001
Gu, L., Yang, R. J., Tho, C. H., Makowskit, M., Faruquet, O., and Li, Y., 2001, “Optimization and Robustness for Crashworthiness of Side Impact,” Int. J. Veh. Des., 26(4), pp. 348–360. 10.1504/IJVD.2001.005210
Zhao, L., Choi, K. K., and Lee, I., 2011, “Metamodeling Method Using Dynamic Kriging for Design Optimization,” AIAA J., 49(9), pp. 2034–2046. 0001-1452 10.2514/1.J051017
Wang, Z., and Wang, P., 2012, “A Nested Extreme Response Surface Approach for Time-Dependent Reliability-Based Design Optimization,” ASME J. Mech. Des., 134(12), p. 121007. 10.1115/1.4007931
Wang, Z., and Wang, P., 2012, “A Maximum Confidence Enhancement Based Sequential Sampling Scheme for Simulation-Based Design,” ASME J. Mech. Des., 136(14), pp. 021006. 10.1115/DETC2013-12608
Alseyabi, M. C., 2009, “Structuring a Probabilistic Model for Reliability Evaluation of Piping Subject to Corrosion-Fatigue Degradation,” Ph.D. Dissertation, University of Maryland.
Gutman, E. M., 1994, Mechanochmistry of Solid Surfaces, World Scientific Publications, Singapore.
Jiang, X., Chu, W., and Xiao, J., 1995, “Fractal Analysis of Orientation Effect on K1C and K1SCC,” Eng. Fract. Mech., 51(5), pp. 805–808. 0013-7944 10.1016/0013-7944(94)00264-I
Shin, K. I., Park, J. H., Kim, H.-D., and Chung, H.-S., 2002, “Simulation of Stress Corrosion Crack Growth in Steam Generator Tubes,” Nucl. Eng. Des., 214(1–2), pp. 91–101. 0029-5493 10.1016/S0029-5493(02)00018-3
Yang, Y., and Zhang, T., 2013, “New Understanding of the Effect of Hydrostatic Pressure on the Corrosion of Ni-Cr-Mo-V High Strength Steel,” Corros. Sci., 73, pp. 250–261. 0010-938X 10.1016/j.corsci.2013.04.013
Xu, L. Y., and Cheng, F. Y., 2013, “Development of a Finite Element Model for Simulation and Prediction of Mechanoelectrochemical Effect of Pipeline Corrosion,” Corros. Sci., 73, pp. 150–160. 0010-938X 10.1016/j.corsci.2013.04.004


Grahic Jump Location
Fig. 1

Pitting corrosion growth and transit to crack process

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Fig. 4

Comparison of limit state functions with and without coupled stresses

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Fig. 3

Comparison of pit growth with and without mechanical stresses

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Fig. 2

SCC propagation curve

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Fig. 5

Flowchart of reliability analysis with pitting corrosion damage

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Fig. 6

Pit depth growth curve with different corrosion time

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Fig. 7

Probability of failure analysis results at different corrosion times

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Fig. 8

Errors of failure probability analysis at different corrosion times




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