TECHNICAL PAPERS
Nov 1, 2005

Predicting the Likelihood and Extent of Reinforced Concrete Corrosion-Induced Cracking

Publication: Journal of Structural Engineering
Volume 131, Issue 11

Abstract

Corrosion-induced cracking is observed to vary spatially over concrete surfaces. A two-dimensional spatial time-dependent reliability model is developed to predict the likelihood and extent of corrosion-induced cracking. The spatial variability of concrete cover, concrete compressive strength, and surface chloride concentration are considered in the spatial time-dependent reliability model. The reliability analysis predicts: (1) probability of the first incidence of cracking, (2) proportion of an area subject to severe cracking, and (3) probability that a given percentage of a concrete surface has cracked. Corrosion-induced crack initiation and propagation models are developed for limit crack widths up to 1 mm. The present paper presents results for a typical reinforced concrete bridge deck. The effect of concrete cover, concrete quality, limit crack width, and environment are considered. It was shown that for poor durability design specifications the likelihood and extent of spalling is high. When combined with a life-cycle cost analysis, this predictive capability enables the extent of future repair costs to be estimated and the optimal durability design specifications or repair/maintenance strategies determined.

Get full access to this article

View all available purchase options and get full access to this article.

References

Alonso, C., Andrade, C., Rodriguez, J., and Diez, J. M. (1998). “Factors controlling cracking of concrete affected by reinforcement corrosion.” Mater. Struct., 31(211), 435–441.
American Concrete Institute (ACI). (1978). Prediction of creep, shrinkage and temperature effects: 2, ACI Committee 209, Detroit.
Andrade, C., Alonso, C., and Molina, F. J. (1993). “Cover cracking as a function of rebar corrosion: Part 1—Experimental test.” Mater. Struct., 26(162), 453–464.
Der Kiureghian, A., and Ke, B.-J. (1988). “The stochastic finite element method in structural reliability.” Probab. Eng. Mech., 3(2), 83–91.
Directoraat-Gerneraal Rijkswaterstaat. (2000). Management and maintenance system, The Netherlands (in Dutch).
Englund, S. (1997). “Probabilistic models and computational methods for chloride ingress in concrete.” PhD thesis, Aalborg Univ., Denmark.
Faber, M. H., and Rostam, S. (2001). “Durability and service life of concrete structures—The owners’ perspective.” Proc., Int. Conf. on Safety, Risk and Reliability, IABSE, Zurich, 369–374.
Faber, M. H., and Sorensen, J. D. (2002). “Indicators for inspection and maintenance planning of concrete structures.” Struct. Safety, 24, 377–396.
FIB. (2000). “Bond of reinforcement in concrete.” State-of-art rep., Task Group Bond Models, Lausanne, Switzerland.
Fitch, M. G., Weyers, R. E., and Johnson, S. D. (1995). “Determination of end of functional service life concrete bridge decks.” Transportation Research Record, 1490, Transportation Research Board, Washington, D.C., 60-66.
Hisada, T., and Nakagiri, S. (1981). “Stochastic finite element method developed for structural safety and reliability, Proc., 3rd Int. Conf. on Structural Safety and Reliability, Trondheim, Norway, 395–408.
Hisada, T., and Nakagiri, S. (1985). “Role of the stochastic finite element methods in structural safety and reliability.” Proc., 4th Int. Conf. on Structural Safety and Reliability, ICOSSAR '85, Kobe, Japan, 1, 385–394.
Karimi, A. R. (2001). “Probabilistic assessment of deterioration and strength of concrete bridge beams and slabs.” PhD thesis, Dept. of Civil Engineering, Imperial College of Science, Technology and Medicine, London.
Kersner, Z., Novák, D., Teply, B., and Rusina, R. (1998). “Modeling of deterioration of concrete structures by stochastic finite element method.” Proc., ICOSSAR’97-7th Int. Conf. on Structural Safety and Reliability, N. Shiraishi. M. Shinozuka, and Y. K. Wen, eds., Balkema, Rotterdam, The Netherlands, 1, 971–974.
Li, Y. (2004). “Effect of spatial variability on maintenance and repair decisions for concrete structures.” PhD thesis, Delft University of Technology, Delft, The Netherlands.
Li, Y., Vrouwenvelder, T., Wijnants, G. H., and Walraven, J. (2004). “Spatial variability of concrete deterioration and repair strategies.” Structural Concrete, 5(3), 121–130.
Liu, P-L., and Der Kiureghian, A. (1989). “Finite-element reliability methods for geometrically non-linear stochastic structures.” Rep. No. UCB/SEMM-89/05, Univ. of California at Berkeley, Berkeley, Calif.
Liu, W. K., Belytschko, T., and Mani, A. (1986). “Probabilistic finite elements for nonlinear structural dynamics.” Comput. Methods Appl. Mech. Eng., 56(1), 61–88.
Liu, Y., and Weyers, R. E. (1998). “Modelling the time-to-corrosion cracking in chloride contaminated reinforced concrete structures.” ACI Mater. J., 95, 675–681.
Mahadevan, S., and Haldar, A. (1991). “Practical random field discretisation in stochastic finite element analysis.” Struct. Safety, 9(4), 283–304.
Papadakis, V. G., Roumeliotis, A. P., Fardis, M. N., and Vagenas, C. G. (1996). “Mathematical modelling of chloride effect on concrete durability and protection measures.” Concrete repair, rehabilitation and protection, R. K. Dhir and M. R. Jones, eds., E&FN Spon, London, 165–174.
Saifullah M., and Clark L. A. (1994). “Effects of corrosion rate on the bond strength of corroded reinforcement.” Corrosion and corrosion protection of steel in concrete, Proc., Int. Conf., Univ. of Sheffield, R. N. Swamy, ed., Sheffield Academic Press, Sheffield, U.K., 591–602.
Sakai, K., Shimomura, T., and Sugiyama, T. (1999). “Design of concrete structures in the 21st century.” Proc., Int. Conf. on Controlling Concrete Degradation, Dundee, U.K.
Shinozuka, M., and Dasgupta, G. (1986). “Stochastic finite element methods in dynamics.” Proc., 3rd ASCE EMD Specialty Conf. on Dynamic Response of Structures, University of California at Los Angeles, Los Angeles, 44–54.
Sterritt, G., Chryssanthopoulos, M. K., and Shetty, N. K. (2001). “Reliability-based inspection planning for RC highway bridges.” Proc., Int. Conf. on Safety, Risk and Reliability, IABSE, Zurich, 1001–1007.
Stewart, M. G., and Darmawan, M. S. (2004). “Structural performance, reliability and service life prediction of concrete beams subject to pitting corrosion.” Proc., 2nd Int. Conf. on Structural Engineering, Mechanics and Computation, Cape Town, South Africa.
Stewart, M. G., and Val, D. V. (2003). “Multiple limit states and expected failure costs for deteriorating RC bridges.” J. Bridge Eng., 8(6), 405–415.
Stewart, M. G. (2004a). “Spatial variability of corrosion-induced cracking damage and expected maintenance costs for deteriorating RC structures.” Research Rep. No. 248.10.2004, Centre for Infrastructure Performance and Reliability, The University of Newcastle, Newcastle, Australia.
Stewart, M. G. (2004b). “Spatial variability of corrosion-induced damage and life-cycle cost analysis of RC bridge decks.” Proc., 2nd Int. Conf. on Bridge Maintenance, Safety and Management, Balkema, Rotterdam, The Netherlands (CD-ROM).
Stewart, M. G. (2004c). “Spatial variability of pitting corrosion and its influence on structural fragility and reliability of RC beams in flexure.” Struct. Safety, 26(4), 453–470.
Vanmarcke, E. H. (1983). “Random field: Analysis and synthesis, The LIT Press, Cambridge, Mass.
Vu, K. A. T. (2003). “Corrosion-induced cracking and spatial time-dependent reliability analysis of reinforced concrete structures.” PhD thesis, The University of Newcastle, New South Wales, Australia.
Vu, K. A. T., and Stewart, M. G. (2000). “Structural reliability of concrete bridges including improved chloride-induced corrosion models.” Struct. Safety, 22(4), 313–333.
Vu, K. A. T., and Stewart, M. G. (2001). “Cracking and spalling reliability analysis considering spatial variability for reinforced concrete structures.” Proc., ICOSSAR’01—8th Int. Conf. on Structural Safety and Reliability, R. B. Corotis, G. I. Schueller, and M. Shinozuka, eds., A.A. Balkema, Rotterdam, The Netherlands (CD-ROM).
Vu, K. A. T., Stewart, M. G., and Mullard, J. A. (2005). “Corrosion-induced cracking: Experimental data and predictive models.” ACI Struct. J., 102(5), September/October, in press.
Yamazaki, F., Shinozuka, M., and Dasgupta, G. (1988). “Neumann expansion For stochastic finite-element analysis.” J. Eng. Mech., 114(8), 1335–1354.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 131Issue 11November 2005
Pages: 1681 - 1689

History

Received: Jul 13, 2004
Accepted: Dec 17, 2004
Published online: Nov 1, 2005
Published in print: Nov 2005

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Shahram Sarkani

Authors

Affiliations

Kim A. Vu
Lecturer, Faculty of Civil Engineering, The Hanoi Architectural Univ., Km 9 Nguyen Trai Road, Hanoi, Viet Nam.
Mark G. Stewart, M.ASCE [email protected]
Professor, Centre for Infrastructure Performance and Reliability, The Univ. of Newcastle, Callaghan NSW 2308 Australia (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share