Recent progress in numerical methods for explicit finite element analysis

0497310 - ÚT 2019 RIV CZ eng C - Conference Paper (international conference)
Kolman, Radek - Kopačka, Ján - Gonzalez, J. - Gabriel, Dušan - Cho, S.S. - Plešek, Jiří - Park, K.C.
Recent progress in numerical methods for explicit finite element analysis.
Applied Mechanics 2018. Plzeň: Západočská univerzita v Plzni, 2018 - (Lukeš, V.; Rendl, J.; Hajžman, M.; Byrtus, M.), s. 53-61. ISBN 978-80-261-0766-8.
[International Conference Applied Mechanics /20./. Myslovice (CZ), 09.04.2018-11.04.2018]
R&D Projects: GA MŠMT(CZ) EF15_003/0000493; GA ČR(CZ) GA17-22615S; GA ČR GA17-12925S
Institutional support: RVO:61388998
Keywords : explicit time integration * finite element method * penalty and bipenalty method * direct inversion of mass matrix * local time stepping * spurious oscillations
OECD category: Applied mechanics

In this paper, a recent progress in explicit finite element analysis is discussed. Properties and behaviour of classical explicit time integration in finite element analysis of elastic wave propagation and contact-impact problems based on penalty method in contact-impact problems are summarized. Further, stability properties of explicit time scheme and the penalty method as well as existence of spurious oscillations in transient dynamics are mentioned. The novel and recent improving and progress in explicit analysis based on a local time integration with pullback interpolation for different local stable time step sizes, bipenalty stabilization for enforcing of contact constrains with preserving of stability limit for contact-free problems and using a direct inversion of mass matrix are presented. Properties of the employed methods are shown for one-dimensional cases of wave propagation and contact-impact problems.
Permanent Link: http://hdl.handle.net/11104/0291163