Bearing capacity of strip footings on spatially random soils using sparse polynomial chaos expansion

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Response surface methods for slope reliability analysis: Review and comparison (2016, methodology): “Under the Hermite polynomial chaos expansion, the FS for a given slip surface is calculated by (e.g. Huang et al., 2009; Li et al., 2011; Al-Bittar and Soubra, 2013; Jiang et al., 2014, 2015):”
Effect of spatial variability on the slope stability using Random Field Numerical Limit Analyses (2016, background): “For example, Al-Bittar and Soubra (2013) investigated the effect of anisotropic correlation structure of shear strength on the bearing capacity problems suggesting that the variability of the ultimate bearing capacity for a given vertical correlation length decreases when the horizontal correlation…”