Title: Recent progress in numerical methods for explicit finite element analysis
Authors: Kolman, Radek
Kopačka, Ján
Gonzalez, Jose
Gabriel, Dušan
Soon Cho, Sang
Plešek, Jiří
Park, K. C.
Citation: 20th International Conference Applied Mechanics 2018: April 9-11, 2018, Myslovice, Czech republic: conference proceedings, p. 53-61.
Issue Date: 2018
Publisher: Západočeská univerzita v Plzni
Document type: konferenční příspěvek
conferenceObject
URI: https://am2018.zcu.cz/AM2018_proceedings.pdf
http://hdl.handle.net/11025/29636
ISBN: 978-80-261-0766-8
Keywords: explicitní integrace času;metoda konečných prvků;metoda penalizace;metoda nepenalizace;přímá inverze hromadné matice;místní časové krokování;nepravé oscilace
Keywords in different language: explicit time integration;finite element method;penalty method;bipenalty method;direct inversion of mass matrix;local time stepping;spurious oscillations
Abstract in different language: 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.
Rights: © Západočeská univerzita v Plzni
Appears in Collections:Applied mechanics 2018
Applied mechanics 2018

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