An explicit time scheme with local time stepping for one-dimensional wave and impact problems in layered and functionally graded materials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00483805" target="_blank" >RIV/61388998:_____/17:00483805 - isvavai.cz</a>
Result on the web
<a href="https://2017.compdyn.org/" target="_blank" >https://2017.compdyn.org/</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An explicit time scheme with local time stepping for one-dimensional wave and impact problems in layered and functionally graded materials
Original language description
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 stressnsituation 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.n
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
COMPDYN 2017. 6th International conference on computational methods in structural dynamics and earthquake engineering. Proceedings
ISBN
978-618-82844-1-8
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
1297-1303
Publisher name
National Technical University of Athens
Place of publication
Athens
Event location
Rhodes
Event date
Jun 15, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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