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 …
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …
[图书][B] Optimization and anti-optimization of structures under uncertainty
I Elishakoff, M Ohsaki - 2010 - books.google.com
The volume presents a collaboration between internationally recognized experts on anti-
optimization and structural optimization, and summarizes various novel ideas …
optimization and structural optimization, and summarizes various novel ideas …
The need for linking micromechanics of materials with stochastic finite elements: A challenge for materials science
DC Charmpis, GI Schuëller, MF Pellissetti - Computational Materials …, 2007 - Elsevier
A basic assumption of Stochastic Finite Element Methods (SFEM) is that the spatial variation
of uncertain structural material properties can be described by random fields. Due to the lack …
of uncertain structural material properties can be described by random fields. Due to the lack …
[图书][B] Stochastic finite element methods: an introduction
V Papadopoulos, DG Giovanis - 2017 - books.google.com
The book provides a self-contained treatment of stochastic finite element methods. It helps
the reader to establish a solid background on stochastic and reliability analysis of structural …
the reader to establish a solid background on stochastic and reliability analysis of structural …
Static analysis of Euler–Bernoulli beams with interval Young's modulus
A Sofi, G Muscolino - Computers & Structures, 2015 - Elsevier
A non-probabilistic approach for analyzing the effects of Young's modulus uncertainty on the
response of Euler–Bernoulli beams under deterministic static loads is presented. The …
response of Euler–Bernoulli beams under deterministic static loads is presented. The …
Structural response variability under spatially dependent uncertainty: stochastic versus interval model
A Sofi - Probabilistic Engineering Mechanics, 2015 - Elsevier
This paper deals with structural response variability under spatially varying uncertainties
represented using both probabilistic and non-probabilistic models. Attention is focused on …
represented using both probabilistic and non-probabilistic models. Attention is focused on …
Spectral representation-based neural network assisted stochastic structural mechanics
DG Giovanis, V Papadopoulos - Engineering Structures, 2015 - Elsevier
This paper explores the applicability of artificial neural networks (ANN) for predicting the
spread of structural response under the presence of uncertain parameters described as …
spread of structural response under the presence of uncertain parameters described as …
[HTML][HTML] Control variates with splitting for aggregating results of Monte Carlo simulation and perturbation analysis
CH Acevedo, MA Valdebenito, IV González, HA Jensen… - Structural Safety, 2024 - Elsevier
Estimation of second-order statistics allows characterizing the uncertainty associated with
the response of stochastic finite element models. Two common approaches for estimating …
the response of stochastic finite element models. Two common approaches for estimating …
Stochastic failure analysis of structures with softening materials
M Georgioudakis, G Stefanou, M Papadrakakis - Engineering Structures, 2014 - Elsevier
This paper investigates the influence of uncertain spatially varying material properties on the
fracture behavior of structures with softening materials. Structural failure is modeled using …
fracture behavior of structures with softening materials. Structural failure is modeled using …
Variability response functions for statically indeterminate structures
M Shen, G Deodatis - Probabilistic Engineering Mechanics, 2022 - Elsevier
The response variability of statically indeterminate beam structures caused by uncertain
material properties modeled by random fields is studied in this paper. By solving the …
material properties modeled by random fields is studied in this paper. By solving the …