On the dynamic simulation of viscoelastic structures with random material properties using time‐separated stochastic mechanics

authored by: Hendrik Geisler, Jan Nagel, Philipp Junker
Abstract: 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.
Organisation(s): Institute of Continuum Mechanics
International RTG 2657: Computational Mechanics Techniques in High Dimensions
External Organisation(s): TU Dortmund University
Type: Article
Journal: PAMM
Volume: 22
ISSN: 1617-7061
Publication date: 24.03.2023
Publication status: Published
Peer reviewed: Yes
Electronic version(s): https://doi.org/10.1002/pamm.202200127 (Access: Open)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{09e7427639fb45f0bce882b8d79ee4e3,
title = "On the dynamic simulation of viscoelastic structures with random material properties using time‐separated stochastic mechanics",
abstract = "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.",
author = "Hendrik Geisler and Jan Nagel and Philipp Junker",
note = "{\textcopyright} 2023 The Authors. Proceedings in Applied Mathematics & Mechanics published by Wiley-VCH GmbH.; 91nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) ; Conference date: 15-03-2021 Through 19-03-2021",
year = "2023",
month = mar,
day = "24",
doi = "10.1002/pamm.202200127",
language = "English",
volume = "22",
journal = "PAMM",
issn = "1617-7061",
publisher = "Wiley Online Library",
number = "1",
url = "https://jahrestagung.gamm.org/jahr2020-2021/annual-meeting/",
}