Reliability-Based Analysis of Bearing Capacity of Strip Footings Considering Anisotropic Correlation of Spatially Varying Undrained Shear Strength
Publication: International Journal of Geomechanics
Volume 16, Issue 5
Abstract
A reliability-based analysis of the bearing capacity of strip footings considering the spatial variability of undrained shear strength of clay was performed using the random FEM. The effect of anisotropic correlation of spatially varying undrained shear strength on the mean and standard deviation of bearing capacity was obtained using the random FEM. It was found that the anisotropic correlation of undrained shear strength significantly affects the bearing capacity. The mean bearing capacity was found to be minimal for a specific combination of horizontal and vertical scales of fluctuation. The coefficient of variation of the bearing capacity increased with increases in horizontal or vertical scales of fluctuation, or both. The factor of safety required to achieve a specified target failure probability for different scales of fluctuation and coefficients of variation of the undrained shear strength of clay is presented.
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References
Abaqus [Computer software]. Dassault Systèmes SIMULIA, Providence, RI.
Ahmed, A., and Soubra, A.-H. (2012). “Probabilistic analysis of strip footings resting on a spatially random soil using subset simulation approach.” Georisk, 6(3), 188–201.
Ahmed, A., and Soubra, A.-H. (2014). “Probabilistic analysis at the serviceability limit state of two neighboring strip footings resting on a spatially random soil.” Struct. Saf., 49, 2–9.
Al-Bittar, T., and Soubra, A.-H. (2013). “Probabilistic analysis of strip footings resting on spatially varying soils and subjected to vertical or inclined loads.” J. Geotech. Geoenviron. Eng., 04013043.
Bouassida, M., Jellali, B., and Lyamin, A. (2014). “Ultimate bearing capacity of a strip footing on ground reinforced by a trench.” Int. J. Geomech., 06014021.
Chakraborty, D., and Kumar, J. (2014a). “Bearing capacity of circular footings on reinforced soils.” Int. J. Geomech., 04014034.
Chakraborty, D., and Kumar, J. (2014b). “Seismic bearing capacity of shallow embedded foundations on a sloping ground surface.” Int. J. Geomech., 04014035.
Cherubini, C. (2000). “Reliability evaluation of shallow foundation bearing capacity on C′ ϕ′ soils.” Can. Geotech. J. 37(1), 264–269
Ching, J., and Phoon, K. K. (2013). “Probability distribution for mobilised shear strengths of spatially variable soils under uniform stress states.” Georisk, 7(3), 209–224.
Cho, S. E., and Park, H. C. (2010). “Effect of spatial variability of cross-correlated soil properties on bearing capacity of strip footing.” Int. J. Numer. Anal. Methods Geomech., 34(1), 1–26.
Dasaka, S. M., and Zhang, L. M. (2012). “Spatial variability of in situ weathered soil.” Géotechnique, 62(5), 375–384.
Fenton, G. A., and Griffiths, D. V. (2002). “Probabilistic foundation settlement on spatially random soil.” J. Geotech. Geoenviron. Eng., 381–390.
Fenton, G. A., and Griffiths, D. V. (2003). “Bearing-capacity prediction of spatially random c ϕ soils.” Can. Geotech. J., 40(1), 54–65.
Fenton, G. A., and Griffiths, D. V. (2005). “Three-dimensional probabilistic foundation settlement.” J. Geotech. Geoenviron. Eng., 232–239.
Fenton, G. A., and Vanmarcke, E. H. (1990). “Simulation of random fields via local average subdivision.” J. Eng. Mech., 1733–1749.
Griffiths, D. V., and Fenton, G. A. (2001). “Bearing capacity of spatially random soil: The undrained clay Prandtl problem revisited.” Géotechnique, 51(4), 351–359.
Griffiths, D. V., and Fenton, G. A. (2009). “Probabilistic settlement analysis by stochastic and random finite-element methods.” J. Geotech. Geoenviron. Eng., 1629–1637.
Griffiths, D. V., Fenton, G. A., and Manoharan, N. (2002). “Bearing capacity of rough rigid strip footing on cohesive soil: Probabilistic study.” J. Geotech. Eng., 743–755.
Griffiths, D. V., Fenton, G. A., and Manoharan, N. (2006). “Undrained bearing capacity of two-strip footings on spatially random soil.” Int. J. Geomech., 421–427.
Jha, S. K., and Ching, J. (2013). “Simulating spatial averages of stationary random field using Fourier series method.” J. Eng. Mech., 594–605.
Kasama, K., and Whittle, A. J. (2011). “Bearing capacity of spatially random cohesive soil using numerical limit analyses.” J. Geotech. Geoenviron. Eng., 989–996.
Li, J., Tian, Y., and Cassidy, M. (2014).” Failure mechanism and bearing capacity of footings buried at various depths in spatially random soil.” J. Geotech. Geoenviron. Eng., 04014099.
Lloret-Cabot, M., Fenton, G. A., and Hicks, M. A. (2014). “On the estimation of scale of fluctuation in geostatistics.” Georisk, 8(2), 129–140.
Low, B. K., and Phoon, K. K. (2002). “Practical first-order reliability computations using spreadsheet.” Proc., Probabilistics in Geotechnics: Technical and Economic Risk Estimation, Verlag Gluckauf, Essen, Germany, 39–46.
MATLAB [Computer software]. Release 2008b, MathWorks, Natick, MA.
Phoon, K. K., Huang, S. P., and Quek, S. T. (2002). “Implementation of Karhunen-Loeve expansion for simulation using a wavelet-Galerkin scheme.” Prob. Eng. Mech., 17(3), 293–303.
Phoon, K.-K., and Kulhawy, F. H. (1999). “Characterization of geotechnical variability.” Can. Geotech. J., 36(4), 612–624.
Pieczyńska-Kozłowska, J. M., Pula, W., Griffiths, D. V., and Fenton, G. A. (2015). “Influence of embedment, self-weight and anisotropy on bearing capacity reliability using the random finite element method.” Comput. Geotech., 67, 229–238.
Popescu, R., Deodatis, G., and Nobahar, A. (2005). “Effects of random heterogeneity of soil properties on bearing capacity.” Prob. Eng. Mech., 20(4), 324–341.
Sivakumar Babu, G. L., Srivastava, A., and Murthy, D. S. N. (2006). “Reliability analysis of the bearing capacity of a shallow foundation resting on cohesive soil.” Can. Geotech. J., 43(2), 217–223.
Soubra, A.-H., and Youssef Abdel Massih, D. S. (2010). “Probabilistic analysis and design at the ultimate limit state of obliquely loaded strip footings.” Géotechnique, 60(4), 275–285.
Uzielli, M., Vannucchi, G., and Phoon, K. K. (2005). “Random field characterisation of stress-normalised cone penetration testing parameters.” Géotechnique, 55(1), 3–20.
Vanmarcke, E. H. (1977). “Probabilistic modeling of soil profiles.” J. Geotech. Eng., 103(11), 1227–1246.
Wang, Y. (2011). “Reliability-based design of spread foundations by Monte Carlo simulations.” Géotechnique, 61(8), 677–685.
Youssef Abdel Massih, D. S., and Soubra, A.-H. (2008).” Reliability-based analysis of strip footings using response surface methodology.” Int. J. Geomech., 134–143.
Zhu, H., and Zhang, L. M. (2013). “Characterizing geotechnical anisotropic spatial variations using random field theory.” Can. Geotech. J., 50(7), 723–734.
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Published In
International Journal of Geomechanics
Volume 16 • Issue 5 • October 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jun 2, 2014
Accepted: Nov 20, 2015
Published online: Feb 10, 2016
Discussion open until: Jul 10, 2016
Published in print: Oct 1, 2016
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