DOI QR코드

DOI QR Code

Degradation reliability modeling of plain concrete for pavement under flexural fatigue loading

  • Jia, Yanshun (School of Transportation, Southeast University) ;
  • Liu, Guoqiang (School of Transportation, Southeast University) ;
  • Yang, Yunmeng (Richangsheng Design & Research Institute of Building New Materials Co., Ltd.) ;
  • Gao, Ying (School of Transportation, Southeast University) ;
  • Yang, Tao (School of Transportation, Southeast University) ;
  • Tang, Fanlong (School of Transportation, Southeast University)
  • 투고 : 2019.09.29
  • 심사 : 2020.04.30
  • 발행 : 2020.05.25

초록

This study aims to establish a new methodological framework for the evaluation of the evolution of the reliability of plain concrete for pavement vs number of cycles under flexural fatigue loading. According to the framework, a new method calculating the reliability was proposed through probability simulation in order to describe a random accumulation of fatigue damage, which combines reliability theory, one-to-one probability density functions transformation technique, cumulative fatigue damage theory and Weibull distribution theory. Then the statistical analysis of flexural fatigue performance of cement concrete tested was carried out utilizing Weibull distribution. Ultimately, the reliability for the tested cement concrete was obtained by the proposed method. Results indicate that the stochastic evolution behavior of concrete materials under fatigue loading can be captured by the established framework. The flexural fatigue life data of concrete at different stress levels is well described utilizing the two-parameter Weibull distribution. The evolution of reliability for concrete materials tested in this study develops by three stages and may corresponds to develop stages of cracking. The proposed method may also be available for the analysis of degradation behaviors under non-fatigue conditions.

키워드

과제정보

This research was sponsored by the National Natural Science Foundation of China (No. 51878168) and Postgraduate Research & Practice Innovation Program of Jiangsu Province (Nos. KYCX18_0141 and KYCX18_0142). This support is gratefully acknowledged.

참고문헌

  1. Aas-Jakobsen, K. (1970), Fatigue of Concrete Beams and Columns, Bulletin no 70-1, NTH Institut for beton Konstruksjoner, Trondheim.
  2. Akcay, B., Sengul, C. and Tasdemir M. (2016), "Fracture behavior and pore structure of concrete with metakaolin", Adv. Concrete Constr., 4(2), 71-88. https://doi.org/10.12989/acc.2016.4.2.071.
  3. Alliche, A. and Frangois, D. (1992), "Damage of concrete in fatigue", J. Eng. Mech., ASCE, 118(11), 2176-2190. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:11(2176).
  4. Bache, H.H. and Vinding, I. (1990), "Fracture mechanics in design of concrete pavements", Proceedings of the 2nd International Workshop on the Design and Evaluation of Concrete Pavements, CROW/PIARC, Siguenza, Spain, October.
  5. Benjamin, J.R. and Cornell, C.A. (1970), Probability, Statistics, and Decision for Civil Engineers, McGraw-Hill, New York, USA.
  6. Bu, J., Chen, X., Liu, S., Li, S. and Shen, N. (2018), "Experimental study on the dynamic behavior of pervious concrete for permeable pavement", Comput. Concrete, 22(3), 291-303. https://doi.org/10.12989/cac.2018.22.3.291.
  7. Chaboche, J.L. and Lesne, P.M. (1988), "A non-linear continuous fatigue damage model", Fatigue Fract. Eng. Mater. Struct., 11(1), 1-17. https://doi.org/10.1111/j.1460-2695.1988.tb01216. x.
  8. Chen, D.H. and Won, M. (2007), "Field investigations of cracking on concrete pavements", J. Perform. Constr. Facil., 21(6), 450-458. https://doi.org/10.1061/(ASCE)0887-3828(2007)21:6(450).
  9. Chen, F.Q. and Tan, Z.M. (2011), "Transverse joint faulting models and application of cement concrete pavement", J. Tongji Univ. (Nat. Sci.), 39(1), 74-78. https://doi.org/10.3969/j.issn.0253-374x.2011.01.014.
  10. Corten, H.T. and Dolan, T.J. (1956), "Cumulative fatigue damage" Proceeding of International Conference on Fatigue of Metals, London, England, September.
  11. Darter, M.I. (1976), "Application of statistical methods to the design of pavement systems", Tran. Res. Rec., 575, 39-55.
  12. Darter, M.I. (1990), "Concrete slab versus beam fatigue models", Proceedings of the 2nd International Workshop on the Design and Evaluation of Concrete Pavements, CROW/PIARC, Siguenza, Spain, October.
  13. Dodge, Y. (2008), The Concise Encyclopedia of Statistics, Springer, New York, USA.
  14. Fatemi, A. and Yang, L. (1998). "Cumulative fatigue damage and life prediction theories: a survey of the state of the art for homogeneous materials", Int. J. Fatigue, 20(1), 9-34. https://doi.org/10.1016/s0142-1123(97)00081-9.
  15. Gao, Y., Geng, D.W., Huang, X.M. and Li, G.Q. (2017), "Degradation evaluation index of asphalt pavement based on mechanical performance of asphalt mixture", Constr. Build. Mater., 140, 75-81. http://dx.doi.org/10.1016/j.conbuildmat.2017.02.095.
  16. Gao, Y., Huang, X.M. and Chen, F.F. (2009), "Reinforcement ratio design of continuous reinforced concrete pavement based on reliability", J. Southeast Univ. (Nat. Sci. Ed.), 39(4), 835-839. https://doi.org/10.3969/j.issn.1001-0505.2009.04.036.
  17. Gayana, B.C. and Chandar, K.R. (2018), "Sustainable use of mine waste and tailings with suitable admixture as aggregates in concrete pavements-A review", Adv. Concrete Constr., 6(3), 221-243. https://doi.org/10.12989/acc.2018.6.3.221.
  18. GB 50153-2008 (2008), Unified Standard for Reliability design of engineering structures, China Architecture & Building Press, Beijing, China.
  19. Henry, D.L. (1955), "A theory of fatigue damage accumulation in steel", Trans. ASME, 77, 913-918.
  20. Huang, X.M., Deng, X.J. and Zhang, G.F. (1993), "Structural reliability analysis of concrete pavement using Monte-Carlo method", China J. Highway Tran., 6(3), 14-17.
  21. Jia, Y.S., Liu, G.Q., Gao, Y., Pei, J.Z., Zhao, Y.L. and Zhang, J.P. (2018), "Degradation reliability modeling of stabilized base course materials based on a modulus decrement process", Constr. Build. Mater., 177, 303-313. https://doi.org/10.1016/j.conbuildmat.2018.05.129.
  22. Li, S., Wang, B.G. and Dai, J.L. (1991), "Study of application of reliability theory and method to cement concrete pavement of highway", J. Xi'an Univ. Highway, 11(2), 1-9.
  23. Li, Y.Q. and Che, H.M. (1998), "A study on the cumulative damage to plain concrete due to flexural fatigue", China Railway Sci., 19(2), 52-59.
  24. Liu, W., Hu, Q.F. and Li, Q.F. (2005), "Design method of cement concrete pavement based on fuzzy-random reliability", J. Southeast Univ. (Nat. Sci. Ed.), 35(S1), 69-74.
  25. Luo, Z., Karki, A., Pan, E., Abbas, A.R., Arefin, M.S. and Hu, B. (2018), "Effect of uncertain material property on system reliability in mechanistic-empirical pavement design", Constr. Build. Mater., 172, 488-498. https://doi.org/10.1016/j.conbuildmat.2018.03.236.
  26. Luo, Z., Xiao, F.P. and Sharma, R. (2014), "Efficient reliability-based approach for mechanistic-empirical asphalt pavement design", Constr. Build. Mater., 64, 157-165. https://doi.org/10.1016/j.conbuildmat.2014.04.071.
  27. Luo, Z., Xiao, F.P., Hu, S.W. and Yang, Y.S. (2013), "Probabilistic analysis on fatigue life rubberized asphalt concrete mixtures containing reclaimed asphalt pavement", Constr. Build. Mater., 41, 401-410. https://doi.org/10.1016/j.conbuildmat.2012.12.013.
  28. Marco, S.M., Starkey, W.L. and Ohio, C. (1954), "A concept of fatigue damage", Trans. ASME, 76, 627-632.
  29. Meng, X.H. and Song, Y.P. (2007), "Damage model for residual strength of concrete under tension fatigue loading", J. Dalian Univ. Tech. 47(4), 563-566. https://doi.org/10.1007/s10870-007-9222-9.
  30. Miner, M.A. (1945), "Cumulative damage in fatigue", J. Appl. Mech., ASME, 12(3), 159-164. https://doi.org/10.1115/1.4009458
  31. Nejad, F.M., Ghafari, S. and Afandizadeh, S. (2013), "Numerical analysis of thermal and composite stresses in pre-stressed concrete pavements", Comput. Concrete, 11(2), 169-182. https://doi.org/10.12989/cac.2013.11.2.169.
  32. Oh, B.H. (1991), "Cumulative damage theory of concrete under variable-amplitude fatigue loadings", ACI Mater. J., 88(1), 41-48. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:2(273).
  33. Ou, Z.M. (2016), Fatigue Reliability Analysis Methods and Application for Slab Track Structure, Southeast University, Nanjing, China.
  34. Pei, J.Z., Jia, Y.S., Zhang, J.P., Li, R. and Chang, M.F. (2016), "Research progress and future development for reliability of asphalt pavement structure", China J. Highway Tran., 29(1), 1-15.
  35. Rubinstein, R.Y. and Kroese, D.P. (2007), Simulation and the Monte-Carlo Method, 2nd Edition, Wiley, New York, USA.
  36. Sadeghi, V. and Hesami, S. (2018), "Finite element investigation of the joints in precast concrete pavement", Comput. Concrete, 21(5), 547-557. https://doi.org/10.12989/cac.2018.21.5.547.
  37. Shah, S.P. (1984), "Predictions of cumulative damage for concrete and reinforced concrete", Mater. Struct., 17(1), 65-68. https://doi.org/10.1007/BF 02474059.
  38. Stubstad, R.N., Tayabji, S.D. and Lukanen, E.O. (2002), "LTPP data analysis: variations in pavement design inputs", NCHRP, Web Document, Transportation Research Board, Washington, D.C., USA.
  39. Su, G., Jiang, J., Yu, B. and Xiao, Y. (2015), "A Gaussian process-based response surface method for structural reliability analysis", Struct. Eng. Mech., 56(4), 507-534. https://doi.org/10.12989/sem.2015.56.4.549.
  40. Subramanyan, S.A. (1976), "A cumulative damage rule based on the knee point of the S-N curve", J. Eng. Mater. Tech., 98(4), 316-321. https://doi.org/10.1115/1.3443383.
  41. Tan, Z.M., Yao, Z.K. and Liu, B.Y. (2002), "Reliability-based design procedure for cement concrete pavements", Highway, 8, 7-10.
  42. Tang, B.M., Yao, Z.K., Xia, R.L. and Song, S.Y. (1996), "Long-term structural performance evaluation of cement concrete pavement", China J. Highway Tran., 9(2), 20-27.
  43. Tang, F.L., Ma, T., Guan, Y.S. and Zhang, Z.X. (2020), "Parametric modeling and structure verification of asphalt pavement based on BIM-ABAQUS", Automat. Constr., 111, 103066. https://doi.org/10.1016/j.autcon.2019.103066.
  44. Xue, Y.Q., Ding, F., Chen, F.L., Shi, X.W. and Zhu G.J. (2014), "Fatigue damage reliability analysis of cement concrete for highway pavement", J. Build. Mater., 17(6), 1009-1014. https://doi.org/10.3969/j.issn.1007-9629.2014.06.012.
  45. Yang, T., Guan, B.W., Liu, G.Q., Li, J., Pan, Y.Y., Jia, Y.S and Zhao, Y.L. (2019), "Service life prediction of chloride-corrosive concrete under fatigue load", Adv. Concrete Constr., 8(1), 55-64. https://doi.org/10.12989/acc.2019.8.1.055.
  46. Zhang, J.P., Cui, S.C., Cai, J., Pei, J.Z. and Jia, Y.S. (2018), "Life-cycle reliability evaluation of semi-rigid materials based on modulus degradation model", KSCE J. Civil Eng., 22(6), 2043-4354. https://doi.org/10.1007/s12205-018-0646-x.
  47. Zhao, G.F., Cao, J.Y. and Zhang K.Q. (2011), Reliability for Engineering Structures, Science Press, Beijing, China.
  48. Zhao, W.T., Shi, X.Y. and Tang, K. (2016), "A response surface method based on sub-region of interest for structural reliability analysis", Struct. Eng. Mech., 57(4), 587-602. https://doi.org/10.12989/sem.2016.57.4.587.
  49. Zhao, Y.L. and Sun, W. (1999), "Establishment of the fatigue damage equation of the concrete material", J. Chongqing Jiao Tong Inst., 18(1), 17-22.
  50. Zhu, B., Qiao, H., Feng, Q. and Lu, C. (2017), "Accelerated life testing of concrete based on stochastic approach and assessment", Comput. Concrete, 19(1), 111-120. https://doi.org/10.12989/cac.2017.19.1.111.