Details
| Original language | English |
|---|---|
| Article number | 115916 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 407 |
| Early online date | 20 Feb 2023 |
| Publication status | Published - 15 Mar 2023 |
Abstract
Simulating structures with history-dependent material models and uncertain material parameters is often computationally expensive. In contrast, the time-separated stochastic mechanics (TSM) has proven to provide an efficient yet accurate method for the computation of stochastic visco-elastic materials. In this work, the TSM is extended for viscoelastic structures with local random material fluctuations. The time-separated stochastic mechanics is based on a separation of the stochastic viscous evolution equation in time-dependent deterministic and time-independent stochastic terms enabling an efficient implementation. Here, the method is expanded by the Karhunen–Loéve expansion for the representation of the random fields of the material parameters. The method requires a low number of deterministic FEM simulations to approximate stress and reaction force, thus remarkably reducing the computational effort compared to classical Monte Carlo simulations. Multiple numerical simulations are presented to study accuracy, robustness and efficiency of the developed method.
Keywords
- Karhunen–Loéve expansion, Random fields, Stochastic viscoelastic material, Time-separated stochastic mechanics
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 407, 115916, 15.03.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time-separated stochastic mechanics for the simulation of viscoelastic structures with local random material fluctuations
AU - Geisler, Hendrik
AU - Junker, Philipp
N1 - Funding Information: This work has been supported by the German Research Foundation (DFG) within the framework of the International Research Training Group IRTG 2657 “Computational Mechanics Techniques in High Dimensions” (Reference: GRK 2657/1 - Project number 433082294 ). This work was further supported by the LUH compute cluster, which is funded by the Leibniz University of Hannover , the Lower Saxony Ministry of Science and Culture (MWK), Germany and the German Research Foundation (DFG) .
PY - 2023/3/15
Y1 - 2023/3/15
N2 - Simulating structures with history-dependent material models and uncertain material parameters is often computationally expensive. In contrast, the time-separated stochastic mechanics (TSM) has proven to provide an efficient yet accurate method for the computation of stochastic visco-elastic materials. In this work, the TSM is extended for viscoelastic structures with local random material fluctuations. The time-separated stochastic mechanics is based on a separation of the stochastic viscous evolution equation in time-dependent deterministic and time-independent stochastic terms enabling an efficient implementation. Here, the method is expanded by the Karhunen–Loéve expansion for the representation of the random fields of the material parameters. The method requires a low number of deterministic FEM simulations to approximate stress and reaction force, thus remarkably reducing the computational effort compared to classical Monte Carlo simulations. Multiple numerical simulations are presented to study accuracy, robustness and efficiency of the developed method.
AB - Simulating structures with history-dependent material models and uncertain material parameters is often computationally expensive. In contrast, the time-separated stochastic mechanics (TSM) has proven to provide an efficient yet accurate method for the computation of stochastic visco-elastic materials. In this work, the TSM is extended for viscoelastic structures with local random material fluctuations. The time-separated stochastic mechanics is based on a separation of the stochastic viscous evolution equation in time-dependent deterministic and time-independent stochastic terms enabling an efficient implementation. Here, the method is expanded by the Karhunen–Loéve expansion for the representation of the random fields of the material parameters. The method requires a low number of deterministic FEM simulations to approximate stress and reaction force, thus remarkably reducing the computational effort compared to classical Monte Carlo simulations. Multiple numerical simulations are presented to study accuracy, robustness and efficiency of the developed method.
KW - Karhunen–Loéve expansion
KW - Random fields
KW - Stochastic viscoelastic material
KW - Time-separated stochastic mechanics
UR - http://www.scopus.com/inward/record.url?scp=85148326678&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2023.115916
DO - 10.1016/j.cma.2023.115916
M3 - Article
AN - SCOPUS:85148326678
VL - 407
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 115916
ER -