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An explicit time scheme with local time stepping for one-dimensional wave and impact problems in layered and functionally graded materials
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SYSNO ASEP 0483805 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title An explicit time scheme with local time stepping for one-dimensional wave and impact problems in layered and functionally graded materials Author(s) Kolman, Radek (UT-L) RID
Cho, S.S. (KR)
Park, K.C. (US)
Gonzalez, J.G. (ES)Number of authors 4 Source Title COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings. - Athens : National Technical University of Athens, 2017 / Papadrakakis M. ; Fragiadakis M. - ISBN 978-618-82844-1-8 Pages s. 1297-1303 Number of pages 7 s. Publication form Print - P Action COMPDYN 2017 /6./ Event date 15.06.2017 - 17.06.2017 VEvent location Rhodes Country GR - Greece Event type WRD Language eng - English Country GR - Greece Keywords wave propagation ; heterogeneous and graded materials ; explicit time integration ; finite element method ; local time stepping ; spurious oscillations Subject RIV BI - Acoustics OECD category Acoustics R&D Projects EF15_003/0000493 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) GA16-03823S GA ČR - Czech Science Foundation (CSF) GA17-12925S GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 Annotation The standard explicit time scheme (e.g. the central difference method) in finite element analysis is not able to keep accuracy of stress distribution through meshes with different local Courant numbers for each finite element. Therefore in this paper, we suggest and test a two-time step explicit scheme with local time stepping for direct time integration in finite element analysis of wave propagation in heterogeneous solids. The nominated two-time step scheme with the diagonal mass matrix is based on the modification of the central difference method with pullback interpolation and local time stepping. It means that we integrate stress
situation on each finite element with local stable time step size. With local time stepping, it is possible to track more accurately a movement of wavefronts for finite element meshes with different local Courant numbers. We present numerical examples of one-dimensional wave propagation in layered and graded elastic bars under shock loading. Based on numerical tests, the presented time scheme is able to eliminate spurious oscillations in stress distribution in numerical modelling of shock wave propagation in heterogeneous materials.
Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2018 Electronic address https://2017.compdyn.org/
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