Critical Crack Depth in Corrosion-Induced Concrete Cracking

International Concrete Abstracts Portal

The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.

  


Title: Critical Crack Depth in Corrosion-Induced Concrete Cracking

Author(s): Ian Lau, Guoyang Fu, Chun-Qing Li, Saman De Silva, and Yuxia Guo

Publication: Structural Journal

Volume: 115

Issue: 4

Appears on pages(s): 1175-1184

Keywords: corrosion; crack depth; cracking; stress intensity factor; weight function

DOI: 10.14359/51702261

Date: 7/1/2018

Abstract:
Practical experience and observations suggest that corrosion-affected reinforced concrete (RC) structures are more prone to cracking than other forms of structural deterioration. Once a crack initiates at the steel-concrete interface, it will propagate to a critical depth at which the crack becomes unstable and suddenly propagate to the concrete surface. This paper aims to develop an analytical method to predict the critical crack depth in corrosion-induced cracking of reinforced concrete structures. This method is derived based on fracture mechanics whereby the stress intensity factor for a single radial crack in a thick-walled cylinder is first determined using the weight function method. It is found that the critical crack depth occurs at the same point regardless of the tensile strength but increases with the increase in concrete cover. It is also found that the concrete cover significantly affects the maximum internal pressure compared to concrete tensile strength.

Related References:

Alonso, C.; Andrade, C.; Rodriguez, J.; and Diez, J. M., 1998, “Factors Controlling Cracking of Concrete Affected by Reinforcement Corrosion,” Materials and Structures, V. 31, No. 7, pp. 435-441. doi: 10.1007/BF02480466

Andrade, C.; Alonso, C.; and Molina, F. J., 1993, “Cover Cracking as a Function of Bar Corrosion: Part I-Experimental Test,” Materials and Structures, V. 26, No. 8, pp. 453-464. doi: 10.1007/BF02472805

Andrasic, C., and Parker, A., 1984, “Dimensionless Stress Intensity Factors for Cracked Thick Cylinders under Polynomial Crack Face Loadings,” Engineering Fracture Mechanics, V. 19, No. 1, pp. 187-193. doi: 10.1016/0013-7944(84)90078-X

Bažant, Z. P., 1979, “Physical Model for Steel Corrosion in Concrete Sea Structures-Application,” Journal of the Structural Division, ASCE, V. 105, No. 6, pp. 1155-1166.

Bažant, Z. P., and Oh, B. H., 1983, “Crack Band Theory for Fracture of Concrete,” Materials and Structures, V. 16, No. 3, pp. 155-177.

Bueckner, H., 1971, “Weight Functions for the Notched Bar,” ZAMM-Journal of Applied Mathematics and Mechanics, V. 51, No. 2, pp. 97-109. doi: 10.1002/zamm.19710510204

Chen, D., and Mahadevan, S., 2008, “Chloride-Induced Reinforcement Corrosion and Concrete Cracking Simulation,” Cement and Concrete Composites, V. 30, No. 3, pp. 227-238. doi: 10.1016/j.cemconcomp.2006.10.007

Chen, Z. J., 2004, “Effect of Reinforcement Corrosion on the Serviceability of Reinforced Concrete Structures,” master’s thesis, Department of Civil Engineering, University of Dundee, Dundee, UK, p. 168.

Dassault Systèmes Simulia Corp, 2011, ABAQUS, Version 6.11, Providence, RI.

El Maaddawy, T., and Soudki, K., 2007, “A Model for Prediction of Time from Corrosion Initiation to Corrosion Cracking,” Cement and Concrete Composites, V. 29, No. 3, pp. 168-175. doi: 10.1016/j.cemconcomp.2006.11.004

Foote, R. M.; Mai, Y. W.; and Cotterell, B., 1986, “Crack Growth Resistance Curves in Strain-Softening Materials,” Journal of the Mechanics and Physics of Solids, V. 34, No. 6, pp. 593-607. doi: 10.1016/0022-5096(86)90039-6

Glinka, G., and Shen, G., 1991, “Universal Features of Weight Functions for Cracks in Mode I,” Engineering Fracture Mechanics, V. 40, No. 6, pp. 1135-1146. doi: 10.1016/0013-7944(91)90177-3

Gopalaratnam, V. S., and Shah, S. P., 1985, “Softening Response of Plain Concrete in Direct Tension,” ACI Journal Proceedings, V. 82, No. 3, May-June, pp. 310-323.

Hillerborg, A.; Modéer, M.; and Petersson, P. E., 1976, “Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements,” Cement and Concrete Research, V. 6, No. 6, pp. 773-781. doi: 10.1016/0008-8846(76)90007-7

Irwin, G. R., 1957, “Analysis of Stresses and Strains near the End of a Crack Traversing a Plate,” Journal of Applied Mechanics, V. 24, pp. 351-369.

Jenq, Y. S., and Shah, S. P., 1985, “A Fracture Toughness Criterion for Concrete,” Engineering Fracture Mechanics, V. 21, No. 5, pp. 1055-1069. doi: 10.1016/0013-7944(85)90009-8

Karihaloo, B. L., and Nallathambi, P., 1989, “Fracture Toughness of Plain Concrete from Three-Point Bend Specimens,” Materials and Structures, V. 22, No. 3, pp. 185-193. doi: 10.1007/BF02472186

Li, C. Q.; Melchers, R. E.; and Zhang, J. J., 2006, “Analytical Model for Corrosion-Induced Crack Width in Reinforced Concrete Structures,” ACI Structural Journal, V. 103, No. 4, July-Aug., pp. 479-487.

Li, C. Q., and Yang, S., 2011, “Prediction of Concrete Crack Width under Combined Reinforcement Corrosion and Applied Load,” Journal of Engineering Mechanics, V. 137, No. 11, pp. 722-731. doi: 10.1061/(ASCE)EM.1943-7889.0000289

Li, W.; Liu, W.; and Wang, S., 2017, “The Effect of Crack Width on Chloride-Induced Corrosion of Steel in Concrete,” Advances in Materials Science and Engineering, V. 2017, 11 pp.

Liu, T., and Weyers, R. W., 1998, “Modeling the Dynamic Corrosion Process in Chloride Contaminated Concrete Structures,” Cement and Concrete Research, V. 28, No. 3, pp. 365-379. doi: 10.1016/S0008-8846(98)00259-2

MathWorks Inc., 2013, “MATLAB R2013b,” MathWorks Inc., Natick, MA.

Molina, F. J.; Alonso, C.; and Andrade, C., 1993, “Cover Cracking as a Function of Rebar Corrosion: Part 2—Numerical Model,” Materials and Structures, V. 26, No. 9, pp. 532-548. doi: 10.1007/BF02472864

Munoz, A.; Andrade, C.; and Torres, A., 2007, “Corrosion Products Pressure Needed to Crack the Concrete Cover,” Advances in Construction Materials 2007, Springer, Berlin, Germany, pp. 359-370.

Murakami, Y., and Keer, L., 1993, “Stress Intensity Factors Handbook, Vol. 3,” Journal of Applied Mechanics, V. 60, No. 4, p. 1063 doi: 10.1115/1.2900983

Otieno, M. B.; Alexander, M. G.; and Beushausen, H. D., 2010, “Corrosion in Cracked and Uncracked Concrete Influence of Crack Width, Concrete Quality, and Crack Reopening,” Magazine of Concrete Research, V. 62, No. 6, pp. 393-404. doi: 10.1680/macr.2010.62.6.393

Pantazopoulou, S., and Papoulia, K., 2001, “Modeling Cover-Cracking due to Reinforcement Corrosion in RC Structures,” Journal of Engineering Mechanics, V. 127, No. 4, pp. 342-351. doi: 10.1061/(ASCE)0733-9399(2001)127:4(342)

Paul, S. C., and van Zijl, G. P. A. G., 2014, “Crack Formation and Chloride Induced Corrosion in Reinforced Strain Hardening Cement-Based Composite (R/SHCC),” Journal of Advanced Concrete Technology, V. 12, No. 9, pp. 340-351. doi: 10.3151/jact.12.340

Paul, S. C., and van Zijl, G. P. A. G., 2016, “Chloride-Induced Corrosion Modelling of Cracked Reinforced SHCC,” Archives of Civil and Mechanical Engineering, V. 16, No. 4, pp. 734-742. doi: 10.1016/j.acme.2016.04.016

Qiao, D.; Nakamura, H.; Yamamoto, Y.; and Miura, T., 2016, “Crack Patterns of Concrete with a Single Rebar Subjected to Non-Uniform and Localized Corrosion,” Construction & Building Materials, V. 116, pp. 366-377. doi: 10.1016/j.conbuildmat.2016.04.149

Raju, I., and Newman, J., 1982, “Stress-Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessels,” ASME Journal of Pressure Vessels Technology, V. 104, No. 4, pp. 293-298. doi: 10.1115/1.3264220

Rice, J. R., 1972, “Some Remarks on Elastic Crack-Tip Stress Fields,” International Journal of Solids and Structures, V. 8, No. 6, pp. 751-758. doi: 10.1016/0020-7683(72)90040-6

Shen, G., and Glinka, G., 1991, “Determination of Weight Functions from Reference Stress Intensity Factors,” Theoretical and Applied Fracture Mechanics, V. 15, No. 3, pp. 237-245. doi: 10.1016/0167-8442(91)90022-C

Tada, H.; Paris, P.; and Irwin, G., 2000, The Analysis of Cracks Handbook, ASME Press, New York, 677 pp.

Tepfers, R. 1979, “Cracking of Concrete Cover along Anchored Deformed Reinforcing Bars,” Magazine of Concrete Research, V. 31, No. 106, pp. 3-12. doi: 10.1680/macr.1979.31.106.3

Timoshenko, S., and Goodier, J., 1970, Theory of Elasticity, McGraw-Hill, New York, 400 pp.

Wu, Z.; Wu, X.; Zheng, J.; Wu, Y.; and Dong, W., 2014, “An Analytical Method for Determining the Crack Extension Resistance Curve of Concrete,” Magazine of Concrete Research, V. 66, No. 14, pp. 719-728. doi: 10.1680/macr.13.00228

Xu, S., and Reinhardt, H. W., 1998, “Crack Extension Resistance and Fracture Properties of Quasi-Brittle Softening Materials like Concrete Based on the Complete Process of Fracture,” International Journal of Fracture, V. 92, No. 1, pp. 71-99. doi: 10.1023/A:1007553012684

Xu, S., and Reinhardt, H. W., 1999, “Determination of Double-K Criterion for Crack Propagation in Quasi-Brittle Fracture, Part II: Analytical Evaluating and Practical Measuring Methods for Three-Point Bending Notched Beams,” International Journal of Fracture, V. 98, No. 2, pp. 151-177. doi: 10.1023/A:1018740728458

Yang, S., and Li, C. Q., 2011, “Numerical Prediction for Corrosion-Induced Concrete Crack Width,” Proceedings of the Institution of Civil Engineers-Construction Materials, V. 164, No. 6, pp. 293-303. doi: 10.1680/coma.1000046

Yang, S. T.; Ni, Y. L.; and Li, C. Q., 2013, “Weight Function Method to Determine Stress Intensity Factor for Semi-Elliptical Crack with High Aspect Ratio in Cylindrical Vessels,” Engineering Fracture Mechanics, V. 109, pp. 138-149. doi: 10.1016/j.engfracmech.2013.05.014

Zhang, Y., and Su, R. K. L., 2017, “Concrete Cover Tensile Capacity of Corroded Reinforced Concrete,” Construction & Building Materials, V. 136, pp. 57-64. doi: 10.1016/j.conbuildmat.2017.01.021


ALSO AVAILABLE IN:

Electronic Structural Journal



  

Edit Module Settings to define Page Content Reviewer