A nonlinear stochastic finite element method for solving elastoplastic problems with uncertainties

Z Zheng, U Nackenhorst - International Journal for Numerical …, 2023 - Wiley Online Library
This article presents an efficient nonlinear stochastic finite element method to solve
stochastic elastoplastic problems. Similar to deterministic elastoplastic problems, we …

Karhunen-Loève expansion based on an analytical solution over a bounding box domain

AA Basmaji, MM Dannert, F Bensel, RMN Fleury… - Probabilistic …, 2023 - Elsevier
This paper explores the accuracy and the efficiency of analytical solution of Fredholm
integral equation to represent a random field on complex geometry. Because no analytical …

A new paradigm for the efficient inclusion of stochasticity in engineering simulations: Time-separated stochastic mechanics

H Geisler, C Erdogan, J Nagel, P Junker - Computational Mechanics, 2025 - Springer
As a physical fact, randomness is an inherent and ineliminable aspect in all physical
measurements and engineering production. As a consequence, material parameters …

Globally supported surrogate model based on support vector regression for nonlinear structural engineering applications

S Funk, A Airoud Basmaji, U Nackenhorst - Archive of Applied Mechanics, 2023 - Springer
This work presents a global surrogate modelling of mechanical systems with elasto-plastic
material behaviour based on support vector regression (SVR). In general, the main …

A stochastic LATIN method for stochastic and parameterized elastoplastic analysis

Z Zheng, D Néron, U Nackenhorst - Computer Methods in Applied …, 2024 - Elsevier
The LATIN method has been developed and successfully applied to a variety of
deterministic problems, but few work has been developed for nonlinear stochastic problems …

Active learning-based domain adaptive localized polynomial chaos expansion

L Novák, MD Shields, V Sadílek… - Mechanical Systems and …, 2023 - Elsevier
The paper presents a novel methodology to build surrogate models of complicated functions
by an active learning-based sequential decomposition of the input random space and …

A clustering-based partially stratified sampling for high-dimensional structural reliability assessment

J Song, J Xu - Computers & Structures, 2024 - Elsevier
Assessing structural reliability problem with high-dimensional random inputs is still
challenging due to the “curse of dimensionality”. In this paper, this challenge is addressed …

Model Predictive Control Design under Stochastic Parametric Uncertainties Based on Polynomial Chaos Expansions for F-16 Aircraft

H Purnawan, T Asfihani, S Kim… - Journal of Robotics and …, 2024 - journal.umy.ac.id
Parametric uncertainty in a dynamical system has the potential to undermine the
performance of a closed-loop controller designed through classical techniques. This paper …

A new paradigm for the efficient inclusion of stochasticity in engineering simulations

H Geisler, C Erdogan, J Nagel, P Junker - arXiv preprint arXiv:2311.12636, 2023 - arxiv.org
As a physical fact, randomness is an inherent and ineliminable aspect in all physical
measurements and engineering production. As a consequence, material parameters …

An Adaptive Variable Partitioning Approach to Quantifying High-Dimensional Uncertainties in Frequency Selective Surfaces

B Sun, S Zhao, X Zhang, Z Gong… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Due to the inherent errors during the fabrication process, the frequency selective surface
(FSS) technique suffers high-dimensional uncertainties, which is especially severe for …