Original title: Dispersion properties of finite element method: review
Authors: Kolman, Radek ; Okrouhlík, Miloslav ; Plešek, Jiří ; Gabriel, Dušan
Document type: Papers
Conference/Event: Engeneering Mechanics /22./, Svratka (CZ), 2016-05-09 / 2016-05-12
Year: 2016
Language: eng
Abstract: Review of the dispersion properties of plane square bilinear finite element used in plane elastic wave propagation problems is presented. It is assumed the grid (spatial) dispersion analysis and, further, the temporal-spatial dispersion analysis for explicit direct time integration based on the central difference method. In this contribution, the dispersion surfaces, polar diagrams and error dispersion graphs for bilinear finite element are depicted for different Courant numbers in explicit time integration. Finally, recommendation for setting the mesh size and the time step size for the explicit time integration of discretized equations of motion by the bilinear finite element method is provided.
Keywords: dispersion properties; explicit time integration; finite element method; wave speed
Project no.: GAP101/12/2315 (CEP), TH01010772 (CEP), GA16-03823S (CEP)
Funding provider: GA ČR, GA TA ČR, GA ČR
Host item entry: Engineering Mechanics 2016, ISBN 978-80-87012-59-8, ISSN 1805-8248

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/11104/0261739

Permalink: http://www.nusl.cz/ntk/nusl-254026


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Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers