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 …

Polyphase uncertainty analysis through virtual modelling technique

Q Wang, Y Feng, D Wu, C Yang, Y Yu, G Li… - … Systems and Signal …, 2022 - Elsevier
A virtual model aided non-deterministic static analysis (including linear and nonlinear
analyses) with polyphase uncertainty is presented in this paper. Within an uncertain system …

Interval and fuzzy physics-informed neural networks for uncertain fields

JN Fuhg, I Kalogeris, A Fau, N Bouklas - Probabilistic Engineering …, 2022 - Elsevier
Temporally and spatially dependent uncertain parameters are regularly encountered in
engineering applications. Commonly these uncertainties are accounted for using random …

Shell buckling with polymorphic uncertain surface imperfections and sensitivity analysis

M Fina, L Panther, P Weber… - … -ASME Journal of …, 2021 - asmedigitalcollection.asme.org
In a probabilistic design approach for cylindrical shells, Gaussian random fields are used to
simulate geometric imperfections. The shape of imperfections depends, among others, on …

Multi-objective optimization of tree trunk axes in glulam beam design considering fuzzy probability-based random fields

FN Schietzold, W Graf… - … -ASME Journal of …, 2021 - asmedigitalcollection.asme.org
Deterministic design and a priori parameters are used in traditional optimization
approaches. The material characteristics of solid wood are not deterministic in reality …

On polymorphic uncertainty modeling in shell buckling

M Fina, W Wagner, W Graf - Computer‐Aided Civil and …, 2023 - Wiley Online Library
Buckling is typically the governing failure mode of thin‐walled shells. In particular, geometric
and material imperfections have a major influence on the buckling behavior. Small …

Imprecise random field analysis for non-linear concrete damage analysis

MM Dannert, MGR Faes, RMN Fleury, A Fau… - … Systems and Signal …, 2021 - Elsevier
Imprecise random fields consider both, aleatory and epistemic uncertainties. In this paper,
spatially varying material parameters representing the constitutive parameters of a damage …

[HTML][HTML] Confined seepage analysis of saturated soils using fuzzy fields

NA Manque, KK Phoon, Y Liu, MA Valdebenito… - Journal of Rock …, 2024 - Elsevier
Seepage refers to the flow of water through porous materials. This phenomenon has a
crucial role in dam, slope, excavation, tunnel, and well design. Performing seepage analysis …

Robustness versus performance–Nested inherence of objectives in optimization with polymorphic uncertain parameters

FN Schietzold, F Leichsenring, M Götz, W Graf… - … in Engineering Software, 2021 - Elsevier
Fuzzy probability based randomness is utilized for polymorphic uncertain design and a priori
parameters in design optimization tasks. Methods for the algorithmic interface between …

An improved system identification method for hardfill dams considering the spatial variability of material parameters based on random field theory

P Liu, J Chen, S Fan, Q Xu - Soil Dynamics and Earthquake Engineering, 2022 - Elsevier
Calibrating the finite element model plays an important role in the accurate safety evaluation
of dams. Recent studies show that the material heterogeneity has important impact on the …