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Original title:
Localized formulation of bipenalty method in contact-impact problems
Authors: Kolman, Radek ; González, J. A. ; Dvořák, Radim ; Kopačka, Ján ; Park, K.C.
Document type: Papers
Conference/Event: International Conference Engineering mechanics 2022, Milovy (CZ), 20220509
Year: 2022
Language: eng
Abstract: 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.
Keywords: bipenalty formulation; contact-impact problem; explicit time integration; ocalized lagrange multipliers; stability analysis
Project no.: EF15_003/0000493, GF22-00863K (CEP)
Funding provider: GA MŠk, GA ČR
Host item entry: Engineering mechanics 2022. Book of full texts, ISBN 978-80-86246-48-2, ISSN 1805-8248
Note: Související webová stránka: https://www.engmech.cz/im/proceedings/show_p/2022/201
Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0339309
Permalink: http://www.nusl.cz/ntk/nusl-520529
The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers
Authors: Kolman, Radek ; González, J. A. ; Dvořák, Radim ; Kopačka, Ján ; Park, K.C.
Document type: Papers
Conference/Event: International Conference Engineering mechanics 2022, Milovy (CZ), 20220509
Year: 2022
Language: eng
Abstract: 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.
Keywords: bipenalty formulation; contact-impact problem; explicit time integration; ocalized lagrange multipliers; stability analysis
Project no.: EF15_003/0000493, GF22-00863K (CEP)
Funding provider: GA MŠk, GA ČR
Host item entry: Engineering mechanics 2022. Book of full texts, ISBN 978-80-86246-48-2, ISSN 1805-8248
Note: Související webová stránka: https://www.engmech.cz/im/proceedings/show_p/2022/201
Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0339309
Permalink: http://www.nusl.cz/ntk/nusl-520529
The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers
Record created 2023-02-12, last modified 2023-12-06