A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

This article presents a brief survey on some of the most relevant developments in the field of
optimization under uncertainty. In particular, the scope and the relevance of the papers …

Discrepancies frequently occur between a physical system's responses and predictions
obtained from mathematical models. The Spectral Stochastic Finite Element Method …

Structural Reliability Analysis and Prediction, Third Edition is a textbook which addresses
the important issue of predicting the safety of structures at the design stage and also the …

Soils and rocks in their natural state are among the most variable of all engineering
materials, and geotechnical engineers must often “make do” with materials that present …

Page 1 Structural Reliability Maurice Lemaire in collaboration with Alaa Chateauneuf and
Jean-Claude Mitteau LSTE WILEY Page 2 Contents Foreword Preface Chapter 1. Introduction …

Stationary systems modelled by elliptic partial differential equations—linear as well as
nonlinear—with stochastic coefficients (random fields) are considered. The mathematical …

An uncertainty quantification scheme is constructed based on generalized Polynomial
Chaos (PC) representations. Two such representations are considered, based on the …

The reliability analysis of engineering structural systems with limit state functions defined
implicitly by time-consuming numerical models (eg finite element analysis structural models) …

This paper presents an assessment of the efficiency of the Kriging interpolation models as
surrogate models for structural reliability problems involving time-consuming numerical …