Original title: An explicit time scheme with local time stepping for one-dimensional wave propagation in a bimaterial bar
Authors: Kolman, Radek ; Cho, S.S. ; Gonzalez, J.G. ; Park, K.C. ; Berezovski, A.
Document type: Papers
Conference/Event: Engineering Mechanics 2017 /23./, Svratka (CZ), 20170515
Year: 2017
Language: eng
Abstract: In this paper, we test a two-time step explicit scheme with local time stepping. The standard explicit time scheme in finite element analysis is not able to keep accuracy of stress distribution through meshes with different local Courant numbers for each finite element. The used two-time step scheme with the diagonal mass matrix is based on the modification of the central difference method with pullback interpolation. We present a numerical example of one-dimensional wave propagation in a bimaterial elastic bar. Based on numerical tests, the employed time scheme with pullback interpolation and local stepping technique is able to eliminate spurious oscillations in stress distribution in numerical modelling of shock wave propagation in heterogeneous materials.
Keywords: explicit time integration; finite element method; local stepping; spurious oscillations; wave propagation in heterogeneous materials
Project no.: EF15_003/0000493, GA17-22615S (CEP), GA16-03823S (CEP), ETA-15-03 (CEP)
Funding provider: GA MŠk, GA ČR, GA ČR, AV ČR
Host item entry: Engineering Mechanics 2017, ISBN 978-80-214-5497-2, 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/11104/0279219

Permalink: http://www.nusl.cz/ntk/nusl-371024


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