Finite element reliability analysis of chloride ingress into reinforced concrete structures

Structure and Infrastructure Engineering

Volumn 3, Issue 4, 2007, Pages 355-366

  Frier, C ^a   Sorensen J D ^a  

^a AALBORG UNIVERSITY   (Denmark)

Author keywords

Chloride ingress; Finite element reliability analysis; First Order Reliability Method; Monte Carlo Simulation; Random fields

Indexed keywords

ARSENIC COMPOUNDS; BIOELECTRIC PHENOMENA; BUILDING MATERIALS; CEMENTS; COMPOSITE BEAMS AND GIRDERS; CONCENTRATION (PROCESS); CONCRETE BUILDINGS; CORROSION; MAINTENANCE; MARINE ENGINEERING; MATERIALS SCIENCE; MONTE CARLO METHODS; ONTOLOGY; PROBABILITY DISTRIBUTIONS; QUALITY ASSURANCE; REINFORCED CONCRETE; REINFORCEMENT; RELIABILITY; RELIABILITY ANALYSIS; REPAIR; RISK ASSESSMENT; STRUCTURAL ANALYSIS; SURFACE DIFFUSION;

CHLORIDE CONCENTRATIONS; CHLORIDE INGRESS; COVER DEPTH; DIFFUSION COEFFICIENTS; DIRECT DIFFERENTIATION METHOD (DDM); FINITE ELEMENT METHOD (FEM); FINITE ELEMENT RELIABILITY; FIRST ORDER RELIABILITY METHOD (FORM); INITIATION OF CORROSION; LINEAR ESTIMATION (LE); LOAD-BEARING CAPACITY; MARINE ENVIRONMENTS; MONTE CARLO SIMULATION (MCS); REINFORCED CONCRETE (RC) STRUCTURES; REINFORCEMENT BARS; STOCHASTIC FIELDS; SURFACE CHLORIDE;

FINITE ELEMENT METHOD;

EID: 48249117131     PISSN: 15732479     EISSN: 17448980     Source Type: Journal    
DOI: 10.1080/15732470600557688     Document Type: Article

References (34)

1. Ayyub, B.M. and McCuen, R.H., Probability, Statistics & Reliability for Engineers, 2nd edn, 2002 (CRC Press: Boca Raton, FL).
2. Bathe, Finite Element Procedures in Engineering Analysis, 1982 (Prentice Hall: Englewood Cliffs, NJ).
3. Compaq, Compaq Extended Library, Reference Guide, 2001 (Compaq Computer Corporation: Houston, TX).
4. Der Kiureghian, A. and Ke, J.-B., The stochastic Finite Element Method in structural Reliability. Prob. Eng. Mech., 1988, 3, 83-91.
5. Der Kiureghian, A. and Liu, P.-L., Structural reliability under incomplete probability information. J. Eng. Mech., 1986, 112, 85-104.
6. Der Kiurcghian, A., Li, C.C., and Zhang, Y., Recent developments in stochastic finite elements. In Reliability and Optimization of Structural Systems, Lecture Notes in Engineering, 76, edited by R. Rackwitz, and P. Thoft-Christcnscn (Springer-Verlag: Berlin)
7. and Proceedings of the 4th IFIP WG 7.5 Conferencee, Munich, Germany, September 1991, pp. 19-38.
8. Edwards, C.H. and Penney, D.E., Elementary Differential Equations with Boundary Value Problems, 3rd edn, 1993 (Prentice Hall: Englewood Cliffs, NJ).
9. Engelund, S., Probabilistic models and computational methods for chloride ingress in concrete. PhD thesis, Aalborg University, Denmark, 1997.
10. Engclund, S. and Sorensen, J.D., A probabilistic model for chloride-ingress and initiation of corrosion in reinforced concrete structures. Struct. Saf., 1998, 20, 69-89.
11. Estes, A.C. and Frangopol, D., An optimized lifetime reliability-based inspection program for deteriorating structures, in Proceedings of the 8th ASCE Speciality Conference on Probabilistic Mechanics and Structural Reliability, Notre Dame, USA, 2000, CD-ROM.
12. Frier, C., Stochastic finite element method for materials modelled by nonlinear plasticity theory, exemplified by plane steel and concrete structures. PhD thesis, Aalborg University, Denmark, 2001.
13. Frier, C. and Sørensen, J.D., Stochastic finite element analysis of nonlinear structures modelled by plasticity Theory. In Proceedings of the 9th ICOSSAR, Application of Statistics and Probability in Civil Engineering, San Francisco, USA, 2003, pp. 283-290.
14. Gehlen, C., Probabilistische Lebensdauerbemessung von Stahlbetonbauwerken, Heft 510, 2000 (Beuth Verlag: Berlin).
15. Hammersley, J.M. and Handscomb, D.C., Monte Carlo Methods, 1964 (Wiley: New York).
16. Hoffmann, P.C. and Weyers, R.E., Probabilistic durability analysis of reinforced concrete bridge decks. In Probabilistic Mechanics & Structural Reliability, edited by D.M. Frangopol, and M.D. Grigoriu, pp. 290-293, 1996 (ASCE: Reston, VA).
17. Kwon, Y.W. and Bang, H., The Finite Element Method using MATLAB, 2nd edn, 2000 (CRC Press: Boca Raton, FL).
18. Li, C-C. and Der Kiureghian, A., Optimal discretization of random fields. J. Eng. Mech., 1993, 119, 1136-1154.
19. Li, Y., Vrouwenvelder, T., Wijnants, G.H., and Walraven, J., Spatial variability of concrete deterioration and repair strategies. Struct. Concrete, 2004, 5, 121-130.
20. Ottosen, N. and Peterson, H., Introduction to the Finite Element Method, 1992 (Prentice Hall International: London).
21. Pcdcrsen, C. and Thoft-Christensen, P., Reliability analysis of prestressed concrete beams with corroded tendons, 1993. Structural Reliability Theory Paper 109, Aalborg University, Denmark.
22. Madsen H.O., Krenk S., and Lind, N.C., Methods of Structural Safety, 1986 (Prentice Hall: Englewood Cliffs, NJ).
23. Raiffa, H. and Schlaifer, R., Applied Statistical Decision Theory, 1961 (Harvard University Press: Cambridge, MA).
24. Spanos, P.D. and Ghanem, R., Stochastic finite element expansion for random media. J. Eng. Mech., 1989, 115, 1035-1053.
25. Stewart, M.G., Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure. Struct. Saf., 2004, 26, 453-470.
26. Stewart, M.G. and Faber, M.H., Probabilistic modelling of deterioration mechanisms for concrete structures, in Proceeding of the 9th ICOSSAR, Application of Statistics and Probability in Civil Engineering, San Francisco, USA, 2003, pp. 645-651.
27. Sudret, B. and Der Kiureghian, A., Stochastic finite element methods and reliability, a state-of-the-art report. Report No. UCB/SEMM-2000/08, Department of Civil & Environmental Engineering, University of California, Berkeley, USA, 2000.
28. Sudret, B. and Der Kiurcghian, A., Comparison of finite element reliability methods. Prob. Eng. Mech., 2002, 17, 337-348.
29. Sørensen, J.D., Reliability estimation by FORM/SORM techniques. PhD Course AUC, Institute of Building Technology and Structural Engineering, Aalborg University, Denmark, 1995.
30. Sørensen, J.D. and Engelund, S., Reliability-based planning of maintenance of concrete structures. In Case Studies in Optimal Design and Maintenance of Civil Infrastructure Systems, pp. 224-235, 1999 (ASCE Publication: Rcston, VA).
31. Tsay, J.J. and Arora J.S., Nonlinear structural design sensitivity analysis for path dependent problems. Part I: General theory. Comp. Meth. Appl. Mech. Eng., 1990, 81, 183-208.
32. Vanmarcke, E., Random Fields, Analysis and Synthesis, 1988 (MIT Press: Cambridge, MA).
33. Vu, K.A.T. and Stewart, M.G., Predicting the likelihood and extent of RC Corrosion-induced cracking. J. Struct. Eng., 2005, 131, 1681-1689.
34. Zhang, Y. and Der Kiureghian, A., Dynamic response sensitivity of inelastic structures. Report No. UCB/SEMM-91/06, Structural Engineering Mechanics and Materials Program, Department of Civil Engineering, University of California, USA, 1991.