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

verfasst von
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.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Internationales GRK 2657: Methoden der Numerischen Mechanik in höheren Dimensionen
Typ
Artikel
Journal
PAMM
ISSN
1617-7061
Publikationsdatum
03.2023
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
Elektronische Version(en)
https://doi.org/10.1002/pamm.202200127 (Zugang: Unbekannt)
 

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