A robust explicit finite element algorithm with bipenalty stabilization for contact-impact problems

0480906 - ÚT 2018 DE eng C - Konferenční příspěvek (zahraniční konf.)
Kolman, Radek - Kopačka, Ján - Tkachuk, A. - Gabriel, Dušan - González, J. A. - Bischoff, M.
A robust explicit finite element algorithm with bipenalty stabilization for contact-impact problems.
Computaional Mechanics. Stuttgart: University of Stuttgart, 2017 - (Scheven, M.; Keip, M.; Karajan, N.), s. 171-176
[GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry /7./. Stuttgart (DE), 11.10.2017-13.10.2017]
Grant CEP: GA MŠMT(CZ) EF15_003/0000493; GA ČR GA17-22615S; GA ČR(CZ) GA16-03823S
Grant ostatní: AV ČR(CZ) DAAD-16-12
Program: Bilaterální spolupráce
Institucionální podpora: RVO:61388998
Klíčová slova: contact-impact problems * finite element method * explicit integration
Obor OECD: Acoustics
https://www.gacm2017.uni-stuttgart.de/registration/Upload/ExtendedAbstracts/ExtendedAbstract_0207.pdf

In this paper, an explicit time integration scheme for finite element solution of contact-impact problems with stabilization of contact forces is presented. The stability limit for an un-penalized system is preserved by the bipenalty method, i.e. a special choice of mass and stiffness penalty parameter ratio. Moreover, the time stepping process produces stable results for a large range of the stiffness penalty parameter. Behavior of the method is shown on a one-dimensional impact problem of elastic bars.
Trvalý link: http://hdl.handle.net/11104/0279409