Practical application of the stochastic finite element method

JD Arregui-Mena, L Margetts, PM Mummery - Archives of computational …, 2016 - Springer
The stochastic finite element method is an extension of the FEM that considers the
uncertainty of a system that arises through variations in initial conditions, materials or …

Advanced line sampling for efficient robust reliability analysis

M de Angelis, E Patelli, M Beer - Structural safety, 2015 - Elsevier
A numerical strategy for the efficient estimation of set-valued failure probabilities, coupling
Monte Carlo with optimization methods, is presented in this paper. The notion of uncertainty …

Robust topology optimization of negative Poisson's ratio metamaterials under material uncertainty

G Agrawal, A Gupta, R Chowdhury… - Finite Elements in …, 2022 - Elsevier
Metamaterials are synthetic materials designed to have unique properties like negative
Poisson ratio (NPR). NPR metamaterials, also known as auxetics, offer significant value in …

Imprecise system reliability and component importance based on survival signature

G Feng, E Patelli, M Beer, FPA Coolen - Reliability Engineering & System …, 2016 - Elsevier
The concept of the survival signature has recently attracted increasing attention for
performing reliability analysis on systems with multiple types of components. It opens a new …

Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading

MGR Faes, MA Valdebenito, D Moens, M Beer - Computers & Structures, 2020 - Elsevier
This paper presents a highly efficient and accurate approach to determine the bounds on the
first excursion probability of a linear structure that is subjected to an imprecise stochastic …

[PDF][PDF] COSSAN: a multidisciplinary software suite for uncertainty quantification and risk management

E Patelli, R Ghanem, D Higdon… - Handbook of uncertainty …, 2016 - researchgate.net
Computer-aided modelling and simulation is now widely recognised as the third 'leg 'of
scientific method, alongside theory and experimentation. Many phenomena can be studied …

Failure probability estimation of a class of series systems by multidomain line sampling

MA Valdebenito, P Wei, J Song, M Beer… - Reliability Engineering & …, 2021 - Elsevier
This contribution proposes an approach for the assessment of the failure probability
associated with a particular class of series systems. The type of systems considered involves …

Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities

MGR Faes, MA Valdebenito, D Moens… - Mechanical Systems and …, 2021 - Elsevier
This paper presents a highly efficient and effective approach to bound the responses and
probability of failure of linear systems where the model parameters are subjected to …

Sensitivity estimation of failure probability applying line sampling

MA Valdebenito, HA Jensen, HB Hernández… - Reliability Engineering & …, 2018 - Elsevier
This contribution presents a framework for calculating a sensitivity measure for problems of
computational stochastic mechanics. More specifically, the sensitivity measure considered is …

Uncertainty management in multidisciplinary design of critical safety systems

E Patelli, DA Alvarez, M Broggi, M Angelis - Journal of Aerospace …, 2015 - arc.aiaa.org
Managing the uncertainty in multidisciplinary design of safety-critical systems requires not
only the availability of a single approach or methodology to deal with uncertainty but a set of …