An explicit time scheme with local time stepping for one-dimensional wave propagation in a bimaterial bar

0477396 - ÚT 2018 RIV CZ eng C - Conference Paper (international conference)
Kolman, Radek - Cho, S.S. - Gonzalez, J.G. - Park, K.C. - Berezovski, A.
An explicit time scheme with local time stepping for one-dimensional wave propagation in a bimaterial bar.
Engineering Mechanics 2017. Brno: University of technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, 2017 - (Fuis, V.), s. 474-477. ISBN 978-80-214-5497-2. ISSN 1805-8248.
[Engineering Mechanics 2017 /23./. Svratka (CZ), 15.05.2017-18.05.2017]
R&D Projects: GA MŠMT(CZ) EF15_003/0000493; GA ČR GA17-22615S; GA ČR(CZ) GA16-03823S
Grant - others:AV ČR(CZ) ETA-15-03
Program: Bilaterální spolupráce
Institutional support: RVO:61388998
Keywords : wave propagation in heterogeneous materials * explicit time integration * finite element method * local stepping * spurious oscillations
OECD category: Acoustics

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.
Permanent Link: http://hdl.handle.net/11104/0279219