Název: Localized formulation of bipenalty method in contact-impact problems
Autoři: Kolman, Radek ; González, J. A. ; Dvořák, Radim ; Kopačka, Ján ; Park, K.C.
Typ dokumentu: Příspěvky z konference
Konference/Akce: International Conference Engineering mechanics 2022, Milovy (CZ), 20220509
Rok: 2022
Jazyk: eng
Abstrakt: Often, the finite element method together with direct time integration is used for modelling of contact-impact problems of bodies. For direct time integration, the implicit or explicit time stepping are gen-\nerally employed. It is well known that the time step size in explicit time integration is limited by the stability limit. Further, the trouble comes with the task of impact of bodies with different critical time step sizes for each body in contact. In this case, this numerical strategy based on explicit time stepping with the same time step size for both bodies is not effective and is not accurate due to the dispersion behaviour and spurious stress oscillations. For that reason, a numerical methodology, which allows independent time stepping for each body with its time step size, is needed to develop. In this paper, we introduce the localized variant of the bipenalty method in contact-impact problems with the governing equations derived based on the Hamilton’s principle. The localized bipenalty method is applied into the impact problems of bars as an one-dimensional problem. The definition of localized gaps is presented and applied into the full concept of the localized bipenalty method.
Klíčová slova: bipenalty formulation; contact-impact problem; explicit time integration; ocalized lagrange multipliers; stability analysis
Číslo projektu: EF15_003/0000493, GF22-00863K (CEP)
Poskytovatel projektu: GA MŠk, GA ČR
Zdrojový dokument: Engineering mechanics 2022. Book of full texts, ISBN 978-80-86246-48-2, ISSN 1805-8248
Poznámka: Související webová stránka: https://www.engmech.cz/im/proceedings/show_p/2022/201

Instituce: Ústav termomechaniky AV ČR (web)
Informace o dostupnosti dokumentu: Dokument je dostupný v příslušném ústavu Akademie věd ČR.
Původní záznam: https://hdl.handle.net/11104/0339309

Trvalý odkaz NUŠL: http://www.nusl.cz/ntk/nusl-520529


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Věda a výzkum > AV ČR > Ústav termomechaniky
Konferenční materiály > Příspěvky z konference