Original title: Recent progress in numerical methods for explicit finite element analysis
Authors: Kolman, Radek ; Kopačka, Ján ; Gonzalez, J. ; Gabriel, Dušan ; Cho, S.S. ; Plešek, Jiří ; Park, K.C.
Document type: Papers
Conference/Event: International Conference Applied Mechanics /20./, Myslovice (CZ), 20180409
Year: 2018
Language: eng
Abstract: 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.
Keywords: direct inversion of mass matrix; explicit time integration; finite element method; local time stepping; penalty and bipenalty method; spurious oscillations
Project no.: EF15_003/0000493, GA17-22615S (CEP), GA17-12925S (CEP)
Funding provider: GA MŠk, GA ČR, GA ČR
Host item entry: Applied Mechanics 2018, ISBN 978-80-261-0766-8

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0291163

Permalink: http://www.nusl.cz/ntk/nusl-390659


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