The PHI2 method: a way to compute time-variant reliability

By C. Andrieu-Renaud, Bruno Sudret, Maurice Lemaire. Reliability Engineering & System Safety, 2004

466 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/02c75c1aafe043b1784eba841c84ef4ef312df0a

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Citations in the corpus

Time-Dependent Reliability of Dynamic Systems Using Subset Simulation With Splitting Over a Series of Correlated Time Intervals (2013, methodology): “The out-crossing rate approach was first introduced by Rice [8] followed by extensive studies [6, 9-13] under the assumption of the out-crossings being statistically independent and Poisson distributed.”
First order reliability method for time-variant problems using series expansions (2015, methodology): “This method transforms dependent responses at two successive time instants into independent ones by introducing a new random variable (Andrieu-Renaud et al. 2004).”
Analytical derivation of the outcrossing rate in time-variant reliability problems (2008, methodology): “The so-called PHI2 method which is described here has been presented by Sudret et al. (2002); Andrieu-Renaud et al. (2004) from an original idea by Hagen and Tvedt (1991).”
A Sampling Approach to Extreme Value Distribution for Time-Dependent Reliability Analysis (2013, background): “The recent developments include the work of Sudret [12], where an analytical upcrossing rate is derived.”
Time-Dependent System Reliability Analysis Using Random Field Discretization (2015, methodology): “[1], the upcrossing rate method [2], the joint upcrossing rate method [3], and many other empirical modifications made to the upcrossing rate method [4].”
Time-Dependent Mechanism Reliability Analysis With Envelope Functions and First-Order Approximation (2014, methodology): “There are two basic types of methods for time-dependent reliability: extreme value methods [31-35] and first-passage methods [30, 33, 36-42].”
A Single-Loop Kriging Surrogate Modeling for Time-Dependent Reliability Analysis (2016, methodology): “For instance, a PHI2 method has been developed to compute the time-variant reliability by estimating the upcrossing rate at each time instant [6]; Singh and Mourelatos [7] proposed a composite limit-state function method and investigated importance sampling [8], Markov Chain Monte Carlo simulation (”