Cumulative formation of response surface and its use in reliability analysis

By P. Das, Y. Zheng. 2000

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Application of the response surface methods to solve inverse reliability problems with implicit response functions (2009, methodology): “Due to these advantages, the RSM methods have been widely applied to the forward reliability analysis [6–9].”
A new adaptive response surface method for reliability analysis (2013, background): “Das and Zheng [11] improve the previous methodology with a cumulative use of sampling points to build RS with square and cross terms.”
Review and application of Artificial Neural Networks models in reliability analysis of steel structures (2015, methodology): “In this method, typically first- or second-order polynomials are chosen to replace the real limit state function [15–18].”
Reliability-based design optimization using kriging surrogates and subset simulation (2011, background): “…in the structural reliability literature out of which: polynomial response surfaces (Faravelli, 1989; Bucher and Bourgund, 1990; Kim and Na, 1997; Das and Zheng, 2000), polynomial chaos expansions (Sudret and Der Kiureghian, 2002; Berveiller et al., 2006; Blatman and Sudret, 2008, 2010), support…”