Details
| Original language | English |
|---|---|
| Article number | 107912 |
| Journal | Computers and Structures |
| Volume | 317 |
| Early online date | 21 Aug 2025 |
| Publication status | Published - Oct 2025 |
Abstract
A space-time decomposition based on the Proper Generalized Decomposition for viscoelastic structures is presented. The displacement field and the field of the internal variable are each represented by a sum of products of space and time modes. Due to the linearity of the evolution equation of the internal variable in the strains, the calculation of space and time modes can be fully separated. In contrast to earlier studies on the subject, this work presents a fully separated framework throughout the entire algorithm. Nevertheless, the strong coupling of balance of linear momentum equation and evolution equation is kept intact. Therefore, the resulting scheme resembles classical schemes easing the implementation. The efficiency and robustness of the method are investigated for a variety of boundary value problems. For problems with more than 20 time steps, the presented method is often more efficient. The source code is available at https://github.com/ikm-luh/SpaceTimeDecomp_SourceCode.
Keywords
- Fully space-time separated framework, Proper generalized decomposition, Viscoelasticity
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 317, 107912, 10.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A fully separated space-time decomposition for the simulation of viscoelastic structures
AU - Geisler, Hendrik
AU - Néron, David
AU - Junker, Philipp
N1 - Publisher Copyright: © 2025 The Author(s)
PY - 2025/10
Y1 - 2025/10
N2 - A space-time decomposition based on the Proper Generalized Decomposition for viscoelastic structures is presented. The displacement field and the field of the internal variable are each represented by a sum of products of space and time modes. Due to the linearity of the evolution equation of the internal variable in the strains, the calculation of space and time modes can be fully separated. In contrast to earlier studies on the subject, this work presents a fully separated framework throughout the entire algorithm. Nevertheless, the strong coupling of balance of linear momentum equation and evolution equation is kept intact. Therefore, the resulting scheme resembles classical schemes easing the implementation. The efficiency and robustness of the method are investigated for a variety of boundary value problems. For problems with more than 20 time steps, the presented method is often more efficient. The source code is available at https://github.com/ikm-luh/SpaceTimeDecomp_SourceCode.
AB - A space-time decomposition based on the Proper Generalized Decomposition for viscoelastic structures is presented. The displacement field and the field of the internal variable are each represented by a sum of products of space and time modes. Due to the linearity of the evolution equation of the internal variable in the strains, the calculation of space and time modes can be fully separated. In contrast to earlier studies on the subject, this work presents a fully separated framework throughout the entire algorithm. Nevertheless, the strong coupling of balance of linear momentum equation and evolution equation is kept intact. Therefore, the resulting scheme resembles classical schemes easing the implementation. The efficiency and robustness of the method are investigated for a variety of boundary value problems. For problems with more than 20 time steps, the presented method is often more efficient. The source code is available at https://github.com/ikm-luh/SpaceTimeDecomp_SourceCode.
KW - Fully space-time separated framework
KW - Proper generalized decomposition
KW - Viscoelasticity
UR - http://www.scopus.com/inward/record.url?scp=105013640281&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2025.107912
DO - 10.1016/j.compstruc.2025.107912
M3 - Article
AN - SCOPUS:105013640281
VL - 317
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
M1 - 107912
ER -