Probabilistic Engineering Mechanics 

TL;DR: In this article, a set simulation approach is proposed to compute small failure probabilities encountered in reliability analysis of engineering systems, which can be expressed as a product of larger conditional failure probabilities by introducing intermediate failure events.

TL;DR: In this paper, two multivariate distribution models consistent with prescribed marginal distributions and covariances are presented, and conditions for validity of each model and applicable ranges of correlation coefficients between the variables are determined.

TL;DR: A non-intrusive method that builds a sparse PC expansion and an adaptive regression-based algorithm is proposed for automatically detecting the significant coefficients of the PC expansion in a suitable polynomial chaos basis.

TL;DR: In this paper, an efficient algorithm to simulate turbulent, atmospheric or wind tunnel generated wind fields is devised based on a model of the spectral tensor for atmospheric surface-layer turbulence at high wind speeds and can simulate two- or three-dimensional fields of one, two or three components of the wind velocity fluctuations.

TL;DR: In this article, first-order reliability and finite element methods are used to develop a methodology for reliability analysis of structures with stochastically varying properties and subjected to random loads, and the influence of the correlation length of random property or load fields on the reliability of example structures are investigated.