A load space formulation for probabilistic finite element analysis of structural reliability

Reliability Assessment for Corroded Pipelines in Series Considering Length-Scale Effects

“…Note that all these studies used the same load term, namely the operational loading exerted by the transported hydrocarbon in the pipeline. Also, a few studies have reported on LSF development, a part of which covered the aspects of onshore and buried pipelines [31][32][33][34][35][36][37][38][39].…”

Modifications to the ‘directional simulation in the load space’ approach to structural reliability analysis

“…the failure boundary exists as a random function in the direction AZa) if one or more such quantities exist as random variables. Procedures to evaluate F SjA for such situations have been discussed in the literature (Guan and Melchers [6]); also, the expression F SjA (sja)Zp f (sja), where p f (sja) is the failure probability of the structure in question when subjected to the deterministic load QZq(sja), has been proposed in the literature (Melchers [10]), and analytical arguments and numerical examples supporting its validity have been given (Gray [5]). …”

Time-Variant Reliability

“…The main challenge is to derive the probabilistic properties for R. In directional simulation terms, this is written, for each direction A = a (see Figure 18.4) as where S is the radial (scalar) distance for measuring the structural strength along the corresponding ray. Several approaches have been proposed [21][22][23].…”