Efficient damage simulations under material uncertainties in a weakly intrusive implementation

authored by: Hendrik Geisler, Emmanuel Baranger, Philipp Junker
Abstract: Uncertainty quantification is not yet widely adapted in the design process of engineering components despite its importance for achieving sustainable and resource-efficient structures. This is mainly for two reasons: • Tracing the effect of uncertainty in engineering simulations is a computationally challenging task. This is especially true for inelastic simulations, as the whole loading history influences the results. • Implementations of efficient schemes in standard finite element software are lacking. In this paper, we tackle both problems. We propose a weakly intrusive implementation of time-separated stochastic mechanics in the finite element software Abaqus. Time-separated stochastic mechanics is an efficient and accurate method for the uncertainty quantification of structures with inelastic material behavior. The method effectively separates the stochastic but time-independent from the deterministic but time-dependent behavior. The resulting scheme consists only two deterministic finite element simulations for homogeneous material fluctuations in order to approximate the stochastic behavior. This brings down the computational cost compared to standard Monte Carlo simulations by at least two orders of magnitude while ensuring accurate solutions. In this paper, the implementation details in Abaqus and numerical comparisons are presented for the example of damage simulations.
Organisation(s): Institute of Continuum Mechanics
International RTG 2657: Computational Mechanics Techniques in High Dimensions
External Organisation(s): Université Paris-Saclay
Université Paris-Saclay
Type: Article
Journal: Journal of Mechanics of Materials and Structures
Volume: 20
Pages: 15-31
No. of pages: 17
ISSN: 1559-3959
Publication date: 29.01.2025
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Mechanics of Materials, Applied Mathematics
Electronic version(s): https://doi.org/10.2140/jomms.2025.20.15 (Access: Closed)
https://doi.org/10.48550/arXiv.2412.12845 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{2129d8c4850d47ed8e1110cfe5215901,
title = "Efficient damage simulations under material uncertainties in a weakly intrusive implementation",
abstract = "Uncertainty quantification is not yet widely adapted in the design process of engineering components despite its importance for achieving sustainable and resource-efficient structures. This is mainly for two reasons: • Tracing the effect of uncertainty in engineering simulations is a computationally challenging task. This is especially true for inelastic simulations, as the whole loading history influences the results. • Implementations of efficient schemes in standard finite element software are lacking. In this paper, we tackle both problems. We propose a weakly intrusive implementation of time-separated stochastic mechanics in the finite element software Abaqus. Time-separated stochastic mechanics is an efficient and accurate method for the uncertainty quantification of structures with inelastic material behavior. The method effectively separates the stochastic but time-independent from the deterministic but time-dependent behavior. The resulting scheme consists only two deterministic finite element simulations for homogeneous material fluctuations in order to approximate the stochastic behavior. This brings down the computational cost compared to standard Monte Carlo simulations by at least two orders of magnitude while ensuring accurate solutions. In this paper, the implementation details in Abaqus and numerical comparisons are presented for the example of damage simulations.",
keywords = "Abaqus, damage, time-separated stochastic mechanics, weakly intrusive",
author = "Hendrik Geisler and Emmanuel Baranger and Philipp Junker",
note = "{\textcopyright} Copyright 2025 Elsevier B.V., All rights reserved.",
year = "2025",
month = jan,
day = "29",
doi = "10.2140/jomms.2025.20.15",
language = "English",
volume = "20",
pages = "15--31",
journal = "Journal of Mechanics of Materials and Structures",
issn = "1559-3959",
publisher = "Mathematical Sciences Publishers",
number = "1",
}