Singular mass matrices for isogeometric finite element analysis of dynamic contact

0480920 - ÚT 2018 DE eng C - Konferenční příspěvek (zahraniční konf.)
Tkachuk, A. - Matzen, M. - Kolman, Radek - Bischoff, M.
Singular mass matrices for isogeometric finite element analysis of dynamic contact.
Computaional Mechanics. Stuttgart: University of Stuttgart, 2017 - (Scheven, M.; Keip, M.; Karajan, N.), s. 164-170
[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
Grant ostatní: AV ČR(CZ) DAAD-16-12
Program: Bilaterální spolupráce
Zdroj financování: O - operační programy
Klíčová slova: dynamic contact problems * isogeometric analysis * implicit integration
Kód oboru RIV: BI - Akustika a kmity
https://www.gacm2017.uni-stuttgart.de/registration/Upload/ExtendedAbstracts/ExtendedAbstract_0040.pdf

Usage of standard mass matrices together with implicit time integration leads to temporal oscillations of contact forces and losses/gains of energy at each contact event. Redistribution of the mass from nodes that are potentially coming into contact and removing the term corresponding to contact forces from the predictor of the Newmark method alleviates both problems. In this contribution a mass redistribution for solid isogeometric FE’s is presented and results of numerical tests are discussed.
Trvalý link: http://hdl.handle.net/11104/0279408