Search Algorithm for Minimum Reliability Index of Earth Slopes

By Ahmed M. Hassan, T. Wolff. 2001

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Probabilistic slope stability analysis by risk aggregation (2014, methodology): “In addition, the proposed risk aggregation approach is in line with the previous studies in which the overall pf of the slope is evaluated based on one or a few pre-selected slip surfaces (e.g., Tang et al., 1976; Low et al., 1998, 2011; Hassan and Wolff, 1999).”
Multiple response surfaces for slope reliability analysis (2015, background): “However, the stratified response surface is constructed on the failure modes identified from an empirical procedure [15], and the number of stratified response surfaces is associated with the number of soil layers that have soil parameters of uncertainty.”
Response surface methods for slope reliability analysis: Review and comparison (2016, methodology): “Many reliability methods have been proposed for slope reliability analysis in literature, such as the first-order second moment method (FOSM) (e.g., Christian et al., 1994; Hassan and Wolff, 1999; Duncan, 2000; Xue and Gavin, 2007; Suchomel and Mašin, 2010), first-order reliability method (FORM) (e.”
SYSTEM RELIABILITY OF SLOPES BY RFEM (2010, methodology): “F(bmin) (4) The FOSM method (e.g., Hassan and WolŠ, 1999; Bhattacharya et al., 2003) and the FORM (e.g., Low 1996; Low et al., 1998; Xu and Low, 2006) are widely used in reliability analyses of slope problems.”