[HTML][HTML] Adaptive approaches in metamodel-based reliability analysis: A review

R Teixeira, M Nogal, A O'Connor - Structural Safety, 2021 - Elsevier
The present work reviews the implementation of adaptive metamodeling for reliability
analysis with emphasis in four main types of metamodels: response surfaces, polynomial …

Advances in reliability and risk analyses of slopes in spatially variable soils: A state-of-the-art review

SH Jiang, J Huang, DV Griffiths, ZP Deng - Computers and Geotechnics, 2022 - Elsevier
Spatial variability of soil properties was rarely taken into account directly in traditional slope
stability analyses, rather some “average” or suitably “pessimistic” properties are assumed to …

The stochastic finite element method: past, present and future

G Stefanou - Computer methods in applied mechanics and …, 2009 - Elsevier
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 …

[BOOK][B] Stochastic dynamics of structures

J Li, J Chen - 2009 - books.google.com
In Stochastic Dynamics of Structures, Li and Chen present a unified view of the theory and
techniques for stochastic dynamics analysis, prediction of reliability, and system control of …

A new look at the response surface approach for reliability analysis

MR Rajashekhar, BR Ellingwood - Structural safety, 1993 - Elsevier
Closed-form mechanical models to predict the behaviour of complex structural systems often
are unavailable. Although reliability analysis of such systems can be carried out by Monte …

Optimal discretization of random fields

CC Li, A Der Kiureghian - Journal of engineering mechanics, 1993 - ascelibrary.org
A new method for efficient discretization of random fields (ie, their representation in terms of
random variables) is introduced. The efficiency of the discretization is measured by the …

[BOOK][B] Reliability assessment using stochastic finite element analysis

A Haldar, S Mahadevan - 2000 - books.google.com
The first complete guide to using the Stochastic Finite Element Method for reliability
assessment Unlike other analytical reliability estimation techniques, the Stochastic Finite …

Optimization algorithms for structural reliability

PL Liu, A Der Kiureghian - Structural safety, 1991 - Elsevier
Several optimization algorithms are evaluated for application in structural reliability, where
the minimum distance from the origin to the limit-state surface in the standard normal space …

[BOOK][B] Stochastic finite element methods and reliability: a state-of-the-art report

B Sudret, A Der Kiureghian - 2000 - researchgate.net
Modeling a mechanical system can be defined as the mathematical idealization of the
physical processes governing its evolution. This requires the definitions of basic variables …

Stochastic finite element expansion for random media

PD Spanos, R Ghanem - Journal of engineering mechanics, 1989 - ascelibrary.org
A new method for the solution of problems involving material variability is proposed. The
material property is modeled as a stochastic process. The method makes use of the …