Details
| Original language | English |
|---|---|
| Journal | PAMM |
| Volume | 22 |
| Issue number | 1 |
| Early online date | 24 Mar 2023 |
| Publication status | Published - 24 Mar 2023 |
| Event | 91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) - Kassel, Germany Duration: 15 Mar 2021 → 19 Mar 2021 Conference number: 91 https://jahrestagung.gamm.org/jahr2020-2021/annual-meeting/ |
Abstract
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In: PAMM, Vol. 22, No. 1, 24.03.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the dynamic simulation of viscoelastic structures with random material properties using time‐separated stochastic mechanics
AU - Geisler, Hendrik
AU - Nagel, Jan
AU - Junker, Philipp
N1 - Conference code: 91
PY - 2023/3/24
Y1 - 2023/3/24
N2 - Simulating stochastic structures with inelastic material behavior is often done with Monte Carlo simulations. The method is robust but needs a huge computational effort. We propose a new approach for the dynamic simulation of viscoelastic stochastic structures with a computational effort in the magnitude of one deterministic simulation. It is based on a separation of the viscous evolution equation in time‐dependent but deterministic and stochastic but time‐independent terms. We present the calculation of the effective quantities as stresses and reaction forces with the time‐separated stochastic mechanics. Numerical experiments showcase the high approximation quality compared to reference Monte Carlo simulations.
AB - Simulating stochastic structures with inelastic material behavior is often done with Monte Carlo simulations. The method is robust but needs a huge computational effort. We propose a new approach for the dynamic simulation of viscoelastic stochastic structures with a computational effort in the magnitude of one deterministic simulation. It is based on a separation of the viscous evolution equation in time‐dependent but deterministic and stochastic but time‐independent terms. We present the calculation of the effective quantities as stresses and reaction forces with the time‐separated stochastic mechanics. Numerical experiments showcase the high approximation quality compared to reference Monte Carlo simulations.
U2 - 10.1002/pamm.202200127
DO - 10.1002/pamm.202200127
M3 - Article
VL - 22
JO - PAMM
JF - PAMM
SN - 1617-7061
IS - 1
T2 - 91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
Y2 - 15 March 2021 through 19 March 2021
ER -