DOI QR코드

DOI QR Code

Application of fractals to study the corroded reinforced concrete beam

  • Fan, Y.F. (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Zhou, J. (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology) ;
  • Hu, Z.Q. (State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology)
  • 투고 : 2004.03.02
  • 심사 : 2005.03.21
  • 발행 : 2005.06.20

초록

This paper is focused on fractal analysis of the surface cracking, a new tool for safety evaluation of corroded reinforced concrete (RC) beams. Comprehensive experimental investigations, including flexural tests, coupon tests on strength evaluation of corroded concrete and rusty rebar, and pullout tests to determine bond strength between concrete and rebar were carried out on nine Corroded Reinforced Concrete Beams (CRCB) exposed to an aggressive environment for more than 10 years. In combination with test results from a previous study on CRCBs fabricated in the laboratory from accelerated methods, it is found that, for both types of beams, the surface cracking distributions are fractal in character at loading and failure stages. Fractal dimension is calculated for all specimens at different corrosion states based on fractal analysis method. Relationships between the fractal dimension and mechanical properties of corroded concrete, rebar corrosion ratio, and ductility of CRCBs are discussed in detail. It is concluded that the fractal dimension can act as a damage index and can be efficiently used to describe the corrosion state of CRCBs.

키워드

참고문헌

  1. Addison, P.S., McKenzie, W.M.C., Ndumu, A.S. et al. (1999), 'Fractal cracking of concrete parameterization of spatial diffusion', J. Eng. Mech., 125(6), 622-629 https://doi.org/10.1061/(ASCE)0733-9399(1999)125:6(622)
  2. Aviles, C.A. and Scholz, C.H. (1987), 'Fractal analysis applied to characteristic segments of the san andreas fault', J. Geophysical Research, 92(B1), 331-344 https://doi.org/10.1029/JB092iB01p00331
  3. Borodich, F.M. (1997), 'Some fractal models of fracture', J. Mech. Physical Solids, 45(2), 239-259 https://doi.org/10.1016/S0022-5096(96)00080-4
  4. Bouchaud, J.P., Bouchaud, E. and Lapasset, G. (1993), 'Models of fractal cracks', Physical Review Letters, 71(14), 2240-2243 https://doi.org/10.1103/PhysRevLett.71.2240
  5. Chiaia, B., von Mier, J.G.M. and Vervuurt, A. (1998) 'Crack growth mechanism in four different concretes: Microscopic observations and fractal analysis', Cement and Concrete Research, 28(1), 103-114 https://doi.org/10.1016/S0008-8846(97)00221-4
  6. Dagher, H.J. and Kulendran, S. (1992), 'Finite element modeling of corrosion damage in concrete', ACI Struct. J., 89(6), 699-708
  7. Enright, M.P. and Frangopol, D.M. (1998), 'Probabilistic analysis of resistance degradation of reinforced concrete bridge beams under corrosion', Eng. Struct., 20(11), 960-971 https://doi.org/10.1016/S0141-0296(97)00190-9
  8. Eyre, J.R. and Nokhasteh, M.A. (1992), 'Strength assessment of corrosion damaged reinforcement concrete slabs and beams', Proc. Ins. Civ. Eng. Structs & Bldges, 94, May, 197-203
  9. Huang, R. and Yang, C.C. (1997), 'Condition assessment of reinforced concrete beams relative to reinforcement corrosion', Cement and Concrete Composites, 19(2), 131-137 https://doi.org/10.1016/S0958-9465(96)00050-9
  10. Huang, Z., Li, J., Guo, L. and Fan, Y. (1998), 'Testing study and calculating method of corroded R.C. member', Building Structure, 12, 18-21
  11. Ji, X.H., Chan, S.Y.N. and Feng, N.Q. (1997), 'A fractal model for simulating the formation of the size effect of the fracture energy of concrete', Magazine of Concrete Research, 49(180), 253-258 https://doi.org/10.1680/macr.1997.49.180.253
  12. Lin, Z. and Wood, L.A. (1999), 'The determination of the strength of damaged reinforced concrete beams', Proc. of 8th Int. Conf. Structural Faults + Repair
  13. Mandelbrot, B.B. (1982), Fractal Geometry of Nature. W.H. Freeman and Co., San Francisco
  14. Mandelbrot, B.B., Passoja, D.E. and Paullay, A.J. (1984), 'Fractal character of fracture surfaces of metals', Nature, 308(19), 721-722 https://doi.org/10.1038/308721a0
  15. Mangat, P.S. and Elgarf, M.S. (1999), 'Flexural strength of concrete beams with corroding reinforcement', ACI Struct. J., 96(1),149-158
  16. Matta, Z.G. (1993), 'Deterioration of concrete structures in the Arabian Gulf', Concrete Int., 15(7), 33-36
  17. Metha, P.K. (1997), 'Durability-critical issues for the future', Concrete Int., 19(7), 27-33
  18. Report of National Materials Advisory Board (1987), 'Concrete durability - a multibillion dollar opportunity', National Academy of Science, Washington. D.C., Publication No. NMAB-437, 94
  19. Saouma, V.E. and Barton, C.C. (1994), 'Fractals, fractures, and size effects in concrete', J. Eng. Mech., 120(4), 835-854 https://doi.org/10.1061/(ASCE)0733-9399(1994)120:4(835)
  20. Sarveswaran, Y., Roberts, M.B. and Ward, J.A. (2000) 'Reliability assessment of deteriorating reinforced concrete beams', Proc. Instn Civ. Engrs Structs & Bldgs, 140, Aug, 239-247
  21. Tachibana, Y. and Maeda, K.-I. (1990), 'Mechanical behavior of RC damaged by corrosion of reinforcement', Corrosion of Reinforcement in Concrete. Society of Chemical, London, 178-187
  22. Winslow, D.N. (1985), 'The fractal nature of the surface of cement paste', Cement and Concrete Research, 15(5), 817-824 https://doi.org/10.1016/0008-8846(85)90148-6
  23. Xie, H. (1990), 'Fractal damage in brittle materials', J. Mech. Strength, 17(2), 75-82
  24. Yuan, Y. and Yu, S. (1997), 'Deterioration of structural behavior in corroded reinforced concrete beam', J. Building Struct., 18(4), 51-57
  25. Zhou, K., Xiao, X. and Wu, X. (1996), 'Fractal behavior in size effect on axial compression strength of concrete', J. of Fuzhou University (Natural Science), 24(S1), 58-62

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