The generalized reliability index is defined as:
These indices are available:
the FORM reliability index, where is obtained with a FORM approximation (refer to ~): in this case, the generalized reliability index is equal to the Hasofer-Lindt reliability index , which is the distance of the design point from the origin of the standard space,
the SORM reliability index, where is obtained with a SORM approximation : Breitung, Hohenbichler or Tvedt (refer to ),
the generalized reliability index, where is obtained with another technique : Monte Carlo simulations, importance samplings,…
Cornell, “A probability-based structural code,” Journal of the American Concrete Institute, 1969, 66(12), 974-985.
Ditlevsen, 1979, “Generalized Second moment reliability index,” Journal of Structural Mechanics, ASCE, Vol.7, pp. 453-472.
Ditlevsen and H.O. Madsen, 2004, “Structural reliability methods,” Department of mechanical engineering technical university of Denmark - Maritime engineering, internet publication.
Hasofer and Lind, 1974, “Exact and invariant second moment code format,” Journal of Engineering Mechanics Division, ASCE, Vol. 100, pp. 111-121.