Acknowledgement
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.
References
- Aas-Jakobsen, K. (1970), Fatigue of Concrete Beams and Columns, Bulletin no 70-1, NTH Institut for beton Konstruksjoner, Trondheim.
- 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.
- 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).
- 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.
- Benjamin, J.R. and Cornell, C.A. (1970), Probability, Statistics, and Decision for Civil Engineers, McGraw-Hill, New York, USA.
- 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.
- 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.
- 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).
- 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.
- Corten, H.T. and Dolan, T.J. (1956), "Cumulative fatigue damage" Proceeding of International Conference on Fatigue of Metals, London, England, September.
- Darter, M.I. (1976), "Application of statistical methods to the design of pavement systems", Tran. Res. Rec., 575, 39-55.
- 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.
- Dodge, Y. (2008), The Concise Encyclopedia of Statistics, Springer, New York, USA.
- 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.
- 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.
- 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.
- 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.
- GB 50153-2008 (2008), Unified Standard for Reliability design of engineering structures, China Architecture & Building Press, Beijing, China.
- Henry, D.L. (1955), "A theory of fatigue damage accumulation in steel", Trans. ASME, 77, 913-918.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Marco, S.M., Starkey, W.L. and Ohio, C. (1954), "A concept of fatigue damage", Trans. ASME, 76, 627-632.
- 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.
- Miner, M.A. (1945), "Cumulative damage in fatigue", J. Appl. Mech., ASME, 12(3), 159-164. https://doi.org/10.1115/1.4009458
- 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.
- 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).
- Ou, Z.M. (2016), Fatigue Reliability Analysis Methods and Application for Slab Track Structure, Southeast University, Nanjing, China.
- 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.
- Rubinstein, R.Y. and Kroese, D.P. (2007), Simulation and the Monte-Carlo Method, 2nd Edition, Wiley, New York, USA.
- 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.
- 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.
- 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.
- 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.
- 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.
- Tan, Z.M., Yao, Z.K. and Liu, B.Y. (2002), "Reliability-based design procedure for cement concrete pavements", Highway, 8, 7-10.
- 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.
- 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.
- 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.
- 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.
- 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.
- Zhao, G.F., Cao, J.Y. and Zhang K.Q. (2011), Reliability for Engineering Structures, Science Press, Beijing, China.
- 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.
- 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.
- 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.