A novel method for implementation of corrosion-induced cracks in the finite element models of reinforced concrete structures

Document Type : Article

Authors

1 School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran

2 Department of Architecture and Civil Engineering, Chalmers University of Technology, Gothenburg, Sweden

Abstract

Currently, there is a clear need for reliable procedures for condition assessment and service-life evaluation of existing infrastructures. Advanced 3D Nonlinear Finite Element (3D NLFE) analysis has proven to be capable of describing the behavior of reinforced concrete provided that detailed and appropriate condition assessment data are available. The present study aims to review and compare different procedures for coupling 3D NLFE analysis with condition assessment data to model corrosion induced cracking, and consequently to find a method with better accuracy, less computational cost, and improved robustness. This paper introduces a new method for adding cracked elements directly to the finite element model, called ReFEM. The force-displacement response, ultimate crack pattern, and failure mode from this model are compared with four other methods for a pull out test case on specimens under accelerated corrosion process. Using this method, the force displacement response for the corroded specimens was overestimated by about 70%. However, the trend was promising and the failure mode and crack pattern were correct. Moreover, the analysis continued after the peak point in the force-displacement curve which makes it possible to monitor the behavior of the specimen in the softening regime.

Keywords


References
1. COST 345 \Procedures required for assessing highway structures. Working Group 1 report on the current stock of highway structures in European countries, the cost of their replacement and the annual cost
of maintaining, repairing and renewing them", TRL Limited, Crowthorne, UK (2004).
2. Zandi, K., Flansbjer, M., Johansson, M., Fahimi, S., Spetz, J., Ra~na, I.V., and Boubitsas, D., Autonomous Automated Non-Intrusive Condition Assessment
- UNICA, RISE CBI Swedish Cement and Concrete Research Institute (2017).
3. Shahsavari, H., Baghani, M., Sohrabpour, S., and Naghdabadi, R. \Continuum damage-healing constitutive modeling for concrete materials through
stress spectral decomposition", International Journal of Damage Mechanics, 25(6), pp. 900{918 (2015).
4. Shahsavari, H., Naghdabadi, R., Baghani, M., and Sohrabpour, S. \A nite deformation viscoelasticviscoplastic constitutive model for self-healing materials",
Smart Materials and Structures, 25(12), p. 125027 (2016).
5. Shahsavari, H., Baghani, M., Naghdabadi, R., and Sohrabpour, S. \A thermodynamically consistent viscoelastic-viscoplastic constitutive model for selfhealing
materials", Journal of Intelligent Material Systems and Structures, 29(6), pp. 1065{1080 (2017).
6. Oucif, C. and Mauludin, L.M. \Continuum damagehealing and super healing mechanics in brittle materials: A state-of-the-art review", Applied Sciences,
8(12), p. 2350 (2018).
7. Dolatabadi, R., Mohammadi, A., and Baghani, M. \A computational simulation of electromembrane extraction based on Poisson-Nernst-Planck equations",
Analytica Chimica Acta, 1158, p. 338414 (2021).
8. Altun, F. and Dandin, Z. \Experimental investigation into steel ber addition to reinforced concrete cantilever beams under a cyclic load e ect", Scientia Iranica,
21(6), pp. 1743{1749 (2014).
9. Mehrpay, S. and Saleh-jalali, R. \Strain rate e ect in the mesoscopic modeling of high-strength steel berreinforced concrete", Scientia Iranica, 24(2), pp. 512{
525 (2017).
10. Song, Y., Wightman, E., Tian, Y., Jack, K., Li, X., Zhong, H., Bond, P.L., Yuan, Z., and Jiang, G. \Corrosion of reinforcing steel in concrete sewers",
Science of The Total Environment, 649, pp. 739{748 (2019).
11. Shahsavari, H., Naghdabadi, R., Baghani, M., and Sohrabpour, S. \A viscoelastic-viscoplastic constitutive model considering damage evolution for time
dependent materials: Application to asphalt mixes", International Journal of Damage Mechanics, 25(7), pp. 921{942 (2016).
12. Shojaeifard, M., Baghani, M., and Shahsavari, H. \Rutting investigation of asphalt pavement subjected to moving cyclic loads: An implicit viscoelasticviscoplastic-
viscodamage FE framework", International Journal of Pavement Engineering, 21(11), pp. 1393{1407 (2020).
13. Bell, B., European Railway Bridge Problems, Sustainable Bridges project deliverable D1.3. Available at: www.sustainablebridges.net/WPI (2004).
Shayan Fahimi et al./Scientia Iranica, Transactions A: Civil Engineering 28 (2021) 1079{1095 1093
14. Andrade, C., Alonso, C., and Molina, F.J. \Cover cracking as a function of bar corrosion.1. experimental test", Materials and Structures, 26(162), pp. 453{464 (1993).
15. Bond of Reinforcement in Concrete, State-of-Art report, b Federation internationale du beton, prepared by Task Group Bond Models, Lausanne, p. 427 (2000).
16. Lundgren, K. \E ect of corrosion on the bond between steel and concrete: An overview", Magazine of Concrete Research, 59(6), pp. 447{461 (2007).
17. Sther, I. \Bond deterioration of corroded steel bars in concrete", Structure and Infrastructure Engineering, 7(6), pp. 415{429 (2011).
18. Coronelli, D., Hanjari, K.Z., Lundgren, K., and Rossi, E. \Severely corroded reinforced concrete with cover cracking: Part 1. Crack initiation and propagation", in
Modelling of Corroding Concrete Structures, Springer, Dordrecht, pp. 195{205 (2011).
19. Zandi, K., Structural Behaviour of Deteriorated Concrete Structures, in Department of Civil and Environmental Engineering, Chalmers University of Technology (2010).
20. Regan, P.E. and Kennedy Reid, I. \Assessment of concrete structures a ected by delamination: 1 - E ect of bond loss", Studies and Research - Annual Review of Structural Concrete, 29, pp. 245{275 (2009).
21. Higgins, C. and Farrow III, W.C. \Tests of reinforced concrete beams with corrosion-damaged stirrups", Aci Structural Journal, 103(1), pp. 133{141 (2006).
22. Lundgren, K., Kettil, P., Zandi, K., Schlune, H., and Roman, A.S.S. \Analytical model for the bond-slip behaviour of corroded ribbed reinforcement", Structure
and Infrastructure Engineering, 8(2), pp. 157{169 (2012).
23. Coronelli, D. and Gambarova, P. \Structural assessment of corroded reinforced concrete beams: Modeling guidelines", Journal of Structural Engineering, 130(8),
p. 1214 (2004).
24. Zandi, K., Kettil, P., and Lundgren, K. \Analysis of mechanical behavior of corroded reinforced concrete structures", ACI Structural Journal, 108(5), pp. 532{
541 (2011).
 25. Lundgren, K. \Bond between ribbed bars and concrete.Part 1: Modi ed model", Magazine of Concrete Research, 57(7), pp. 371{382 (2005).
26. Lundgren, K. \Bond between ribbed bars and concrete. Part 2: The e ect of corrosion", Magazine of Concrete Research, 57(7), pp. 383{395 (2005).
27. Zandi Hanjari, K., Lundgren, K., Plos, M., and Coronelli, D. \Three-dimensional modelling of structural e ects of corroding steel reinforcement in concrete",
Structure and Infrastructure Engineering, 9(7), pp. 702{718 (2013).
28. Lundgren, K. \Bond between ribbed bars and concrete. Part 2: The e ect of corrosion", Magazine of Concrete Research, 57(7), pp. 383{396 (2005).
29. Borst, R.D., Remmers, J.J., Needleman, A., and Abellan, M.A. \Discrete vs smeared crack models for concrete fracture: bridging the gap", International
Journal for Numerical and Analytical Methods in Geomechanics, 28(78), pp. 583{607 (2004).
30. DeJong, M.J., Hendriks, M.A.N., and Rots, J.G. \Sequentially linear analysis of fracture under nonproportional loading", Engineering Fracture Mechanics,
75(18), pp. 5042{5056 (2008).
31. Jirasek, M. and Belytschko. T. \Computational resolution of strong discontinuities", in Proceedings of Fifth World Congress on Computational Mechanics, WCCM
V, Vienna University of Technology, Austria (2002).
32. Van Mier, J.G., Fracture Processes of Concrete, 12, CRC press (1996).
33. De Borst, R. \Smeared cracking, plasticity, creep, and thermal loading-A uni ed approach", Computer Methods in Applied Mechanics and Engineering, 62(1),
pp. 89{110 (1987).
34. Feenstra, P.H., Rots, J.G., Arnesen, A., Teigen, J.G., and Hoiseth, K.V. \A 3D constitutive model for concrete based on a co-rotational concept", Computational Modelling of Concrete Structure, Proceedings of the Euro-C 1998 Conference on Computational Modelling of Concrete Structures, Badgastein, Austria, pp. 13{22 (1998).
35. Feenstra, P.H. and De Borst, R. \A composite plasticity model for concrete", International Journal of Solids
and Structures, 33(5), pp. 707{730 (1996).
36. Ngo, D. and Scordelis, A. \Finite element analysis of reinforced concrete beams", in ACI Journal Proceedings, ACI, 64(3), pp. 152{163 (1967).
37. Stankowski, T., Runesson, K., and Sture, S. \Fracture and slip of interfaces in cementitious composites. I: Characteristics", Journal of Engineering Mechanics,
119(2), pp. 292{314 (1993).
38. Rots, J. \Sequentially linear continuum model for concrete fracture", Fracture Mechanics of Concrete Structures, 2, pp. 831{840 (2001).
39. Rots, J.G. and Invernizzi, S. \Regularized sequentially linear saw-tooth softening model", International Journal for Numerical and Analytical Methods in Geomechanics,
28(78), pp. 821{856 (2004).
40. Barros, H., Hendriks, M.A.N., and Rots, J.G. \Sequentially linear versus nonlinear analysis of RC structures", Engineering Computations, 30(6), pp. 792{801
(2013).
41. Elias, J., Frantk, P., and Vorechovsky, M. \Improved sequentially linear solution procedure", Engineering Fracture Mechanics, 77(12), pp. 2263{2276 (2010).
1094 Shayan Fahimi et al./Scientia Iranica, Transactions A: Civil Engineering 28 (2021) 1079{1095
42. Reyes, E., Galvez, J.C., Cendon, D.A., et al. \An embedded cohesive crack model for nite element analysis of mixed mode fracture of brickwork masonry",
in Computational Plasticity - Fundamentals and Applications, COMPLAS IX, 29(12), pp. 1056{ 1065 (2007).
43. Oliver, J., Huespe, A.E., Samaniego, E., and Chaves, E.W.V. \On strategies for tracking strong discontinuities in computational failure mechanics", in Fifth
World Congress on Computational Mechanics (2002).
44. Feist, C. and Hofstetter, G. \An embedded strong discontinuity model for cracking of plain concrete", Computer Methods in Applied Mechanics and Engineering,
195(52), pp. 7115{7138 (2006).
45. Sanchez, P.J., Oliver, J., Huespe, A.E., and Sonzogni, V.E. \Finite elements with embedded strong discontinuities for the numerical simulation in failure mechanics:
E-Fem and X-Fem", Mecanica Computacional, 24(3), pp. 541{566 (2006).
46. Bhargava, K., Ghosh, A.K., Mori, Y., and Ramanujam, S. \Model for cover cracking due to rebar corrosion in RC structures", Engineering Structures, 28(8),
pp. 1093{1109 (2006).
47. Bhargava, K., Ghosh, A.K., Mori, Y., and Ramanujam, S. \Modeling of time to corrosion-induced cover cracking in reinforced concrete structures", Cement
and Concrete Research, 35(11), pp. 2203{2218 (2005).
48. Wang, L., Dai, L., Bian, H., Ma, Y., and Zhang, J. \Concrete cracking prediction under combined prestress and strand corrosion", Structure and Infrastructure
Engineering, 15(3), pp. 285{295 (2019).
49. Li, C.-Q., Melchers, R.E., and Zheng, J.-J. \Analytical model for corrosion-induced crack width in reinforced concrete structures", ACI Structural Journal, 103(4),
p. 479 (2006).
50. Val, D.V., Chernin, L., and Stewart, M.G. \Experimental and numerical investigation of corrosioninduced cover cracking in reinforced concrete structures",
Journal of Structural Engineering, 135(4), pp. 376{385 (2009).
51. Richard, B., Ragueneau, F., Cremona, C., Adelaide, L., and Tailhan, J.L. \A three-dimensional steel/concrete interface model including corrosion effects",
Engineering Fracture Mechanics, 77(6), pp. 951{973 (2010).
52. Guzman, S., Galvez, J.C., and Sancho, J.M. \Modelling of corrosion-induced cover cracking in reinforced concrete by an embedded cohesive crack nite element",
Engineering Fracture Mechanics, 93, pp. 92{ 107 (2012).
53. Chen, E. and Leung, C.K.Y. \Mechanical aspects of simulating crack propagation in concrete under steel corrosion", Construction and Building Materials, 191,
pp. 165{175 (2018). 54. Yang, S., Xi, X., Li, K., and Li, C.Q. \Numerical modeling of nonuniform corrosion-induced concrete crack
width", Journal of Structural Engineering, 144(8), p. 04018120 (2018).
55. Mak, M.W.T., Desnerck, P., and Lees, J.M. \Corrosion-induced cracking and bond strength in reinforced concrete", Construction and Building Materials,
208, pp. 228{241 (2019).
56. Guzman, S. and Galvez, J.C. \Modelling of concrete cover cracking due to non-uniform corrosion of reinforcing steel", Construction and Building Materials,
155, pp. 1063{1071 (2017).
57. Code, CEB-FIP Model \Comite euro-international du beton", Bulletin d'information, 213, p. 214 (1993).
58. Cornelissen, H., Hordijk, D., and Reinhardt, H. \Experimental determination of crack softening characteristics
of normal weight and lightweight concrete", Heron, 31(2), pp. 45{46 (1986).
59. Berrocal, C.G., Fernandez, I., Lundgren, K., and Lofgren, I. \In
uence of bre reinforcement on the initiation of corrosion-induced cracks", Service Life of
Cement-Based Materials and Structures, 1, pp. 231{ 240 (2016).
60. Berrocal, C.G., Fernandez, I., Lundgren, K., and Lofgren, I. \Corrosion-induced cracking and bond behaviour of corroded reinforcement bars in SFRC",
Composites Part B: Engineering, 113, pp. 123{137 (2017).
61. Diana, T.N.O., Diana Finite Element Analysis User's Manual Release 10.0, Delft, The Netherlands (2012).
62. Thorenfeldt, E. \Mechanical properties of highstrength concrete and applications in design", in Symposium Proceedings, Utilization of High-Strength
Concrete, Norway (1987).