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

Abstract

Time-variant reliability problems appear in the engineering practice when (a) the material properties of the structure deteriorate in time or (b) random loading modelled as random processes is involved. This paper presents a method called PHI2 which is based on the outcrossing approach and allows to solve such problems using classical time-invariant reliability tools such as FORM/SORM methods. The PHI2 method is first presented. Then it is benchmarked with the well-established 'asymptotic methods' [Stochast. Process. Appl. 13 (1988) The PHI2 method appears more accurate in all cases. As an application example, the method is finally applied on a case representing a mechanical system (a beam) placed in an environment that can have exceptional configuration. q

Probabilistic models for the extent of damage in degrading reinforced concrete structures

“…This quantity is the "spatial" counterpart of the so-called cumulative probability of failure in timevariant reliability problems [15].…”

“…The outcrossing rate may be evaluated by the PHI2 method [15,28] which is based on the solution of the parallel system reliability problem in Eq. (49), see the references for details.…”

Développement d'une approche mécano-fiabiliste d'assemblages collés pour applications marines

“…L'intérêt de cette approche, est le fait que le temps devienne un simple paramètre à traiter, les outils de fiabilité indépendante de temps sont alors suffisant pour le calcul du taux de franchissement (Andrieu-Renaud [5]) :…”

Time-Dependent Reliability Modeling and Analysis Method for Mechanics Based on Convex Process

“…Structural reliability assessment aims at computing the probability/possibility of failure occurrence for a mechanical system with reference to a specific failure criterion by accounting for uncertainties arising in the model description or the environment [1]. Essentially, the reliability measurement represents safety level in industry practice and hence the capability to efficiently perform reliability analysis is of vital importance in practical engineering applications [2,3].…”

“…To tackle the time-dependency issues, Lots of research results have been published in time-dependent reliability analysis in recent years. They include the extreme value distribution method [12,13], the first-passage method [1,14], the Markov chain method [15], and the Monte-Carlo simulation method [16]. Among them, the first-passage method based on Rice's formula [17] is recognized as the most popular method in current literature of reliability analysis research.…”