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Original Articles

Extensive second-order method for reliability analysis of complicated geotechnical structures

, , &
Pages 1203-1221 | Received 22 Aug 2016, Accepted 14 May 2017, Published online: 29 Jun 2017

References

  • Ang, A. H. S., & Tang, W. H. (1984). Probability concepts in engineering planning and design.(Vol. II, Decision, risk and reliability). New York: John Wiley & Sons.
  • Bieniawski, Z. T. (1989). Engineering rock mass classifications. New York, NY: John Wiley & Sons.
  • Breitung, K. (1989). Asymptotic approximations for probability integrals. Probabilistic Engineering Mechanics, 4, 187–190.10.1016/0266-8920(89)90024-6
  • Cheng, J., Li, Q. S., & Xiao, R. C. (2008). A new artificial neural network-based response surface method for structural reliability analysis. Probabilistic Engineering Mechanics, 23, 51–63.10.1016/j.probengmech.2007.10.003
  • Carranza-Torres, C., & Fairhurst, C. (1999). The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 36, 777–809.10.1016/S0148-9062(99)00047-9
  • Hasofer, A. M., & Lind, N. C. (1974). Exact and invariant second-moment code format. Journal of Engineering Mechanics Division, 100, 111–121.
  • Hohenbichler, M., & Rackwitz, R. (1981). Non-normal dependent vectors in structural safety. Journal of Engineering Mechanics Division, 107, 1227–1238.
  • Hosni Elhewy, A., Mesbahi, E., & Pu, Y. (2006). Reliability analysis of structures using neural network method. Probabilistic Engineering Mechanics, 21, 44–53.10.1016/j.probengmech.2005.07.002
  • Ji, J., & Kodikara, J. K. (2015). Efficient reliability method for implicit limit state surface with correlated non-Gaussian variables. International Journal for Numerical and Analytical Methods in Geomechanics, 39, 1898–1911.10.1002/nag.v39.17
  • Jiang, C., Zhao, M. H., & Zhou, K. P. (2014). Reliability analysis of inclined loaded piles using a high-order response surface. European Journal of Environmental and Civil Engineering, 18, 897–909.
  • Kaymaz, I. (2005). Application of kriging method to structural reliability problems. Structural Safety, 27, 133–151.10.1016/j.strusafe.2004.09.001
  • Li, D. Q., Shao, K. B., Cao, Z. J., Tang, X. S., & Phoon, K. K. (2016). A generalized surrogate response aided-subset simulation approach for efficient geotechnical reliability-based design. Computers and Geotechnics, 74, 88–101.10.1016/j.compgeo.2015.12.010
  • Li, S. J., Zhao, H. B., & Ru, Z. L. (2013). Slope reliability analysis by updated support vector machine and Monte Carlo simulation. Journal of Natural Hazards, 65, 707–722.10.1007/s11069-012-0396-x
  • Li, X. (2012). The research on analysis method of reliability calculations for stability of tunnel engineering (pp. 50–51). Changsha: Hunan University. (In Chinese).
  • Liang, B. (2015). The research on analysis method of reliability for stability of tunnel surrounding rock and supporting structure (pp. 128–129). Changsha: Hunan University. (In Chinese).
  • Liu, P. L., & Der Kiureghian, A. (1986). Multivariate distribution models with prescribed marginals and covariances. Probabilistic Engineering Mechanics, 1, 105–112.10.1016/0266-8920(86)90033-0
  • Liu, P. L., & Der Kiureghian, A. (1991). Finite element reliability of geometrically nonlinear uncertain structures. Journal of Engineering Mechanics, 117, 1806–1825.10.1061/(ASCE)0733-9399(1991)117:8(1806)
  • Lü, Q., Chan, C. L., & Low, B. K. (2012). Probabilistic evaluation of ground-support interaction for deep rock excavation using artificial neural network and uniform design. Tunnelling and Underground Space Technology, 32, 1–18.
  • Lü, Q., & Low, B. K. (2011). Probabilistic analysis of underground rock excavation using response surface method and SORM. Computers and Geotechnics, 38, 1008–1021.
  • Lü, Q., Sun, H. Y., & Low, B. K. (2011). Reliability analysis of ground-support interaction in circular tunnels using the response surface method. International Journal of Rock Mechanics & Mining Sciences, 48, 1329–1343.
  • Phoon, K. K., & Kulhawy, F. H. (1999). Characterization of geotechnical variability. Canadian Geotechnical Journal, 36, 612–624.10.1139/t99-038
  • Rosenblueth, E. (1975). Point estimates for probability moments. Proceedings of the National Academy of Sciences, 72, 3812–3814.10.1073/pnas.72.10.3812
  • Rosenblatt, M. (1952). Remarks on a multivariate transformation. The Annals of Mathematical Statistics, 23, 470–472.10.1214/aoms/1177729394
  • Sakata, S., Ashida, F., & Zako, M. (2003). Structural optimization using Kriging approximation. Computer Methods in Applied Mechanics and Engineering, 192, 923–939.10.1016/S0045-7825(02)00617-5
  • Su, Y. H., Li, X., & Xie, Z. Y. (2011). Probabilistic evaluation for the implicit limit state function of stability of a highway tunnel in China. Tunnelling and Underground Space Technology, 26, 422–434.10.1016/j.tust.2010.11.009
  • Tan, X. H., Bi, W. H., & Hou, X. L. (2011). Reliability analysis using radial basis function networks and support vector machines. Computers and Geotechnics, 38, 178–186.10.1016/j.compgeo.2010.11.002
  • Tan, X. H., Wang, X. E., Hu, X. J., Shen, M. F., & Hu, N. (2016). Two methods for predicting reliability index and critical probabilistic slip surface of soil slopes. Geotechnical and Geological Engineering, 34, 1283–1292.10.1007/s10706-016-0041-7
  • Xu, B., & Low, B. K. (2006). Probabilistic stability analyses of embankments based on finite-element method. Journal of Geotechnical and Geoenvironmental Engineering, 132, 1444–1454.10.1061/(ASCE)1090-0241(2006)132:11(1444)
  • Zhao, H. B. (2008). Slope reliability analysis using a support vector machine. Computers and Geotechnics, 35, 459–467.10.1016/j.compgeo.2007.08.002

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