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Structure and Infrastructure Engineering
Maintenance, Management, Life-Cycle Design and Performance
Volume 15, 2019 - Issue 7
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Original Articles

Stochastic analysis of fatigue of concrete bridges

, &
Pages 925-939 | Received 07 Aug 2018, Accepted 10 Dec 2018, Published online: 10 Feb 2019

References

  • Chen, J. B., & Li, J. (2009). A note on the principle of preservation of probability and probability density evolution equation. Probabilistic Engineering Mechanics, 24(1), 51–59. doi:10.1016/j.probengmech.2008.01.004
  • Chen, J. B., & Li, J. (2011). Stochastic harmonic function and spectral representations. Chinese Journal of Theoretical and Applied Mechanics, 43(3), 505–513.
  • Chen, J. B., Sun, W. L., Li, J., & Xu, J. (2012). Stochastic harmonic function representation of stochastic processes. Journal of Applied Mechanics, 80(1), 011001. doi:10.1115/1.4006936
  • Chen, J. B., & Zhang, S. (2013). Improving point selection in cubature by a new discrepancy. SIAM Journal on Scientific Computing, 35(5), A2121–A2149. doi:10.1137/12089377X
  • D’Angelo, L., & Nussbaumer, A. (2015). Reliability based fatigue assessment of existing motorway bridge. Structural Safety, 1(57), 35–42. doi:10.1016/j.strusafe.2015.07.001
  • Ding, Z. D. (2015). The fatigue constitutive relation of concrete and stochastic fatigue response of concrete structure. Doctoral dissertation. Tongji University, Shanghai, China.
  • Ding, Z. D., & Li, J. (2014a). Modelling of fatigue damage of concrete with stochastic character. Paper presented at of IALCCE 2014 Conference, Tokyo, Japan.
  • Ding, Z. D., & Li, J. (2014b). The fatigue constitutive model of concrete based on micro-meso mechanics. Chinese Journal of Theoretical and Applied Mechanics, 46(6), 911–919.
  • Faria, R., Oliver, J., & Cervera, M. (1998). A strain-based plastic viscous-damage model for massive concrete structures. International Journal of Solids and Structures, 35(14), 1533–1558. doi:10.1016/S0020-7683(97)00119-4
  • Gao, R. F., & Li, J. (2017). Simulation of compound Poisson process based on stochastic harmonic function. Journal of Tongji University (Natural Science), 45(12), 1731–1738.
  • Gao, R. F., & Li, J. (2018). Equivalent constant-amplitude fatigue loads based on the energy equivalence principle. Advances in Structural Engineering, Manuscript submitted for publication.
  • Ge, D., Wan, J. G., Pan, P., Li, W. F., & Miao, Q. S. (2013). Comparative study on simulation methods of steel bar in fiber beam element model. Building Structure, 43(2), 60–62.
  • Holmen, J. (1982). Fatigue of concrete by constant and variable amplitude loading. ACI Special Publication, Fatigue Concrete Structures, 75, 71–110.
  • Ju, J. W. (1989). On energy-based coupled elastoplastic damage theories: Constitutive modelling and computational aspects. International Journal of Solids and Structures, 25(7), 803–833.
  • Kandarpa, S., Kirkner, D. J., & Spencer, B. F. Jr, (1996). Stochastic damage model for brittle materials subjected to monotonic loading. Journal of Engineering Mechanics, 122(8), 788–795. doi:10.1061/(ASCE)0733-9399(1996)122:8(788)
  • Krausz, A. S., & Krausz, K. (1988). Fracture kinetics of crack growth. Fluwer, Dordrecht, The Netherlands.
  • Kwon, K., & Frangopol, D. M. (2010). Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data. International Journal of Fatigue, 32(8), 1221–1232.
  • Le, J. L., & Bažant, Z. P. (2011). Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: II. Fatigue crack growth, lifetime and scaling. Journal of the Mechanics and Physics of Solids, 59(7), 1322–1337.
  • Le, J. L., Bažant, Z. P., & Bažant, M. Z. (2011). Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling. Journal of the Mechanics and Physics of Solids, 59(7), 1291–1321.
  • Leander, J., Zamiri, F., & Al-Emrani, M. (2016). Fatigue reliability assessment of welded bridge details using probabilistic fracture mechanics. Proceedings of 19th IABSE Congress Stockholm- Challenges in Design and Construction of an Innovative and Sustainable Built Environment.
  • Lemaitre, J., & Desmorat, R. (2005). Engineering damage mechanics: Ductile, creep, fatigue and brittle failures. Berlin: Springer Verlag.
  • Li, J. (2002). Recent research process on the stochastic damage constitutional law of concrete. Journal of Southeast University (Natural Science Edition), 5, 015.
  • Li, J., & Chen, J. B. (2004). Probability density evolution method for dynamic response analysis of structures with uncertain parameters. Computational Mechanics, 34(5), 400–409.
  • Li, J., & Chen, J. B. (2007). The number theoretical method in response analysis of nonlinear stochastic structures. Computational Mechanics, 39(6), 693–708.
  • Li, J., & Chen, J. B. (2008). The principle of preservation of probability and the generalized density evolution equation. Structural Safety, 30(1), 65–77.
  • Li, J., & Chen, J. B. (2009). Stochastic dynamics of structures. Singapore: John Wiley & Sons.
  • Li, J., Chen, J. B., Sun, W. L., & Peng, Y. B. (2012). Advances of the probability density evolution method for nonlinear stochastic systems. Probabilistic Engineering Mechanics, 28, 132–142.
  • Li, J., & Ren, X. D. (2009). Stochastic damage model for concrete based on energy equivalent strain. International Journal of Solids and Structures, 46(11–12), 2407–2419.
  • Li, J., Wu, J. Y., & Chen, J. B. (2014). Stochastic damage mechanics of concrete structures. Beijing: Science Press.
  • Li, J., & Zhang, Q. Y. (2001). Study of stochastic damage constitutive relationship for concrete material. Journal of Tongji University (National Science Edition), 29(10), 1135–1141.
  • Liang, J. S. (2017). The study of fatigue damage constitutive relation of concrete and stochastic fatigue reliability analysis on concrete structures. Doctoral dissertation. Tongji University, Shanghai, China.
  • Luo, Y., Yan, D. H., Yuan, M., & Lu, N. W. (2017). Probabilistic Modeling of Fatigue Damage in Orthotropic Steel Bridge Decks under Stochastic Traffic Loadings. Journal of Highway and Transportation Research and Development (English Edition)), 11(3), 62–70. doi:10.1061/JHTRCQ.0000582
  • Maali, A., Cohen-Bouhacina, T., Couturier, G., & Aimé, J. P. (2006). Oscillatory dissipation of a simple confined liquid. Physical Review Letters, 96(8), 086105. doi:10.1103/PhysRevLett.96.086105
  • Oh, B. (1991). Fatigue life distributions of concrete for various stress levels. ACI Materials Journal, 88(2), 122–128.
  • Peerlings, R. H., Brekelmans, W. M., De Borst, R., & Geers, M. G. D. (2000). Gradient-enhanced damage modelling of high-cycle fatigue. International Journal for Numerical Methods in Engineering, 49(12), 1547–1569. doi:10.1002/1097-0207(20001230)49:12<1547::AID-NME16>3.0.CO;2-D
  • Ren, X. D., Zeng, S. J., & Li, J. (2015). A rate-dependent stochastic damage–plasticity model for quasi-brittle materials. Computational Mechanics, 55(2), 267–285. doi:10.1007/s00466-014-1100-7
  • Rom, S., & Agerskov, H. (2014). Fatigue in aluminum highway bridges under random loading. International Journal of Applied Science and Technology, 4(6), 95–107.
  • Sain, T., & Kishen, J. C. (2008). Probabilistic assessment of fatigue crack growth in concrete. International Journal of Fatigue, 30(12), 2156–2164. doi:10.1016/j.ijfatigue.2008.05.024
  • Slowik, V., Plizzari, G. A., & Saouma, V. E. (1996). Fracture of concrete under variable amplitude fatigue loading. Materials Journal, 93(3), 272–283.
  • “The Research of Vehicle Load of Highway and Bridge” Research Team. (1997). The research of vehicle load of highway and bridge. Highway, 3, 8–12.
  • Wu, J. Y., Li, J., & Faria, R. (2006). An energy release rate-based plastic-damage model for concrete. International Journal of Solids and Structures, 43(3–4), 583–612. doi:10.1016/j.ijsolstr.2005.05.038
  • Xi, Y., & Bažant, Z. P. (1996). Analysis of crack propagation in concrete structures by Markov chain model and r-curve method. Paper presented at the meeting of the 7th Specialty Conference on Probabilistic Mechanics and Structural Reliability, Worcester, MA, USA.
  • Zeng, S. J. (2012). Dynamic experimental research and stochastic damage constitutive model for concrete. Doctoral dissertation. Tongji University, Shanghai, China.
  • Zhou, H., Li, J., & Ren, X. D. (2016). Multiscale stochastic structural analysis toward reliability assessment for large complex reinforced concrete structures. International Journal for Multiscale Computational Engineering, 14(3), 303–321.

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