Improved knowledge-based clustered partitioning approach and its application to slope reliability analysis

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Copula-based approaches for evaluating slope reliability under incomplete probability information (2015, unknown): “⇑ Corresponding author at: State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, 8 Donghu South Road, Wuhan 430072, PR China.”
Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method (2014, background): “Several studies (Lumb, 1970; Wolff, 1985; Tang et al., 2012) reported values of ρc,ϕ.”
Performance of translation approach for modeling correlated non-normal variables (2012, background): “It is well known that the Nataf distribution is the most widely used distribution model to deal with structural reliability problems involving correlated non-normal variables [2,11,12].”
Characterization of uncertainty in probabilistic model using bootstrap method and its application to reliability of piles (2015, background): “Copula c (u1, u2; h) s Range of h Gaussian 1 ffiffiffiffiffiffiffiffi 1 h2 p exp 1 2 1h 2 2h1112þ12h 2 2ð1 h2Þ h i 11 1⁄4 U ðu1Þ; 12 1⁄4 U ðu2Þ 2 arcsin h p [ 1, 1] Plackett h1⁄21þ ðh 1Þðu1 þ u2 2u1u2Þ 1⁄21þ ðh 1Þðu1 þ u2Þ 2 4u1u2hðh 1Þ n o3 2 4 R 1 0 R 1 0 Cðu1;u2; hÞdCðu1;u2; hÞ 1 (0, 1)n{1}”