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

Kód výsledku v 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>

Výsledek na webu

<a href="https://2017.compdyn.org/" target="_blank" >https://2017.compdyn.org/</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10307 - Acoustics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

7

Strana od-do

1297-1303

Název nakladatele

National Technical University of Athens

Místo vydání

Athens

Místo konání akce

Rhodes

Datum konání akce

15. 6. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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