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Original Articles

Bearing capacity of spatially random rock masses obeying Hoek–Brown failure criterion

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Pages 215-229 | Received 12 Jan 2016, Accepted 28 Aug 2016, Published online: 26 Sep 2016

References

  • Al-Bittar, T., and A. H. Soubra. 2013. “Bearing Capacity of Strip Footings on Spatially Random Soils Using Sparse Polynomial Chaos Expansion.” International Journal for Numerical and Analytical Methods in Geomechanics 37 (13): 2039–2060.
  • Al-Bittar, T., and A. H. Soubra. 2014. “Efficient Sparse Polynomial Chaos Expansion Methodology for the Probabilistic Analysis of Computationally-expensive Deterministic Models.” International Journal for Numerical and Analytical Methods in Geomechanics 38 (12): 1211–1230.
  • Blatman, G., and B. Sudret. 2010. “An Adaptive Algorithm to Build Up Sparse Polynomial Chaos Expansions for Stochastic Finite Element Analysis.” Probabilistic Engineering Mechanics 25: 183–197.
  • Brown, E. T. 2008. “Estimating the Mechanical Properties of Rock Masses.” In Proceedings of the 1st Southern Hemisphere International Rock Mechanics Symposium: SHIRMS 2008, edited by Y. Potvin, J. Carter, A. Dyskin, and R. Jeffrey, Vol. 1, 3–21. Perth, Western Australia.
  • Ching, J., Y. G. Hu, Z. Y. Yang, J. Q. Shiau, J. C. Chen, and Y. S. Li. 2011. “Reliability-based Design for Allowable Bearing Capacity of Footings on Rock Masses by Considering Angle of Distortion.” International Journal of Rock Mechanics and Mining Sciences 48: 728–740.
  • Cho, S. E., and H. C. Park. 2010. “Effect of Spatial Variability of Cross-correlated Soil Properties on Bearing Capacity of Strip Footing.” International Journal for Numerical and Analytical Methods in Geomechanics 34: 1–26.
  • Der Kiureghian, A., and J. B. Ke. 1988. “The Stochastic Finite Element Method in Structural Reliability.” Probabilistic Engineering Mechanics 3: 83–91.
  • Fenton, G. A., and D. V. Griffiths. 2003. “Bearing Capacity Prediction of Spatially Random c-ϕ Soils.” Canadian Geotechnical Journal 40: 54–65.
  • Griffiths, D. V., and G. A. Fenton. 2001. “Bearing Capacity of Spatially Random Soil: The Undrained Clay Prandtl Problem Revisited.” Géotechnique 51: 351–359.
  • Griffiths, D. V., G. A. Fenton, and N. Manoharan. 2002. “Bearing Capacity of Rough Rigid Strip Footing on Cohesive Soil: Probabilistic Study.” Journal of Geotechnical and Geoenvironmental Engineering 128: 743–755.
  • Hoek, E., and E. Brown. 1980. “Empirical Strength Criterion for Rock Masses.” Journal of the Geotechnical Engineering Division 106 (GT9): 1013–1035.
  • Hoek, E., and E. T. Brown. 1997. “Practical Estimates of Rock Mass Strength.” International Journal of Rock Mechanics and Mining Sciences 34 (8): 1165–1186.
  • Hoek, E., C. Carranze-Torres, and B. Corkum. 2002. “ Hoek-Brown Failure Criterion-2002 edition.” Proceeding of the North American Rock Mechanics Society Meeting, Toronto, 267–273.
  • Hoek, E., and P. Marinos. 2007. “A Brief History of the Development of the Hoek-Brown Failure Criterion.” Soils Rocks 30 (2): 85–92.
  • Huang, S. P., B. Liang, and K. K. Phoon. 2009. “Geotechnical Probabilistic Analysis by Collocation-based Stochastic Response Surface Method: An Excel Add-in Implementation.” Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 3: 75–86.
  • Isukapalli, S. S., A. Roy, and P. G. Georgopoulos. 1998. “Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems.” Risk Analysis 18: 351–363.
  • Jiang, S. H., D. Q. Li, Z. J. Cao, C. B. Zhou, and K. K. Phoon. 2015. “Efficient System Reliability Analysis of Slope Stability in Spatially Variable Soils Using Monte Carlo Simulation.” Journal of Geotechnical and Geoenvironmental Engineering 141 (2): 04014096.
  • Jiang, S. H., D. Q. Li, L. M. Zhang, and C. B. Zhou. 2014. “Slope Reliability Analysis Considering Spatially Variable Shear Strength Parameters Using a Non-intrusive Stochastic Finite Element Method.” Engineering Geology 168: 120–128.
  • Li, D., Y. Chen, W. Lu, and C. Zhou. 2011. “Stochastic Response Surface Method for Reliability Analysis of Rock Slopes Involving Correlated Non-normal Variables.” Computers and Geotechnics 38: 58–68.
  • Li, C. C., and A. Der Kiureghian. 1993. “Optimal Discretization of Random Fields.” Journal of Engineering Mechanics 119: 1136–1154.
  • Li, J. H., Y. Tian, and M. Cassidy. 2015. “Failure Mechanism and Bearing Capacity of Footings Buried at Various Depths in Spatially Random Soil.” Journal of Geotechnical and Geoenvironmental Engineering 141 (2): 04014099.
  • Maghous, S., P. de Buhan, and A. Bekaert. 1998. “Failure Design of Jointed Rock Structures by Means of a Homogenization Approach.” Mechanics of Cohesive-Frictional Materials 3: 207–228.
  • Mao, N., T. Al-Bittar, and A. H. Soubra. 2012. “Probabilistic Analysis and Design of Strip Foundations Resting on Rocks Obeying Hoek–Brown Failure Criterion.” International Journal of Rock Mechanics and Mining Sciences 49: 45–58.
  • Merifield, R. S., A. V. Lyamin, and S. W. Sloan. 2006. “Limit Analysis Solutions for the Bearing Capacity of Rock Masses Using the Generalised Hoek–Brown Criterion.” International Journal of Rock Mechanics and Mining Sciences 43: 920–937.
  • Mollon, G., D. Dias, and A. H. Soubra. 2009. “Probabilistic Analysis of Circular Tunnels in Homogeneous Soil Using Response Surface Methodology.” Journal of Geotechnical and Geoenvironmental Engineering 135: 1314–1325.
  • Nataf, A. 1962. “Détermination des distributions de probabilités dont les marges sont données.” [In French.] Comptes Rendus de L'Académie des Sciences 225: 42–43.
  • Popescu, R., G. Deodatis, and A. Nobahar. 2005. “Effects of Random Heterogeneity of Soil Properties on Bearing Capacity.” Probabilistic Engineering Mechanics 20: 324–341.
  • Saada, Z., S. Maghous, and D. Garnier. 2008. “Bearing Capacity of Shallow Foundations on Rocks Obeying a Modified Hoek–Brown Failure Criterion.” Computers and Geotechnics 35: 144–154.
  • Saltelli, A., K. Chan, and E. M. Scott. 2000. Sensitivity Analysis. New York: John Wiley and Sons.
  • Sobol′, I. M. 2001. “Global Sensitivity Indices for Nonlinear Mathematical Models and Their Monte Carlo Estimates.” Mathematics and Computers in Simulation 55: 271–280.
  • Soubra, A. H., and D. Youssef Abdel Massih. 2010. “Probabilistic Analysis and Design at the Ultimate Limit State of Obliquely Loaded Strip Footings.” Géotechnique 60: 275–285.
  • Sudret, B. 2008. “Global Sensitivity Analysis Using Polynomial Chaos Expansions.” Reliability Engineering and System Safety 93: 964–979.
  • Yang, X. L., and J. H. Yin. 2005. “Upper Bound Solution for Ultimate Bearing Capacity with a Modified Hoek-Brown Failure Criterion.” International Journal of Rock Mechanics and Mining Sciences 42: 550–560.
  • Youssef Abdel Massih, D., A. H. Soubra, and B. K. Low. 2008. “Reliability-based Analysis and Design of Strip Footings against Bearing Capacity Failure.” Journal of Geotechnical and Geoenvironmental Engineering 134: 917–928.

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