S. Mahadevan et A. Dey, ADAPTIVE MONTE-CARLO SIMULATION FOR TIME-VARIANT RELIABILITY-ANALYSISOF BRITTLE STRUCTURES, AIAA journal, 35(2), 1997, pp. 321-326
An efficient simulation-based methodology for estimating the time-depe
ndent reliability of a brittle structural system is presented. In the
proposed method, a branch-and bound method is used to identify the mos
t probable failure sequence of a system. This defines the initial fail
ure domain to start the simulation. As the simulation progresses, the
initial failure domain is refined adaptively to incorporate informatio
n about the other possible dominant failure sequences, to estimate the
true failure probability of the system. The simulation is continued u
ntil there is a convergence in the failure probability estimate.