Two scale modeling of acoustic waves in phononic plates using homogenization of high-contrast media

Kód výsledku v IS VaVaI

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Nalezeny alternativní kódy

RIV/49777513:23640/12:43915768

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Two scale modeling of acoustic waves in phononic plates using homogenization of high-contrast media

Popis výsledku v původním jazyce

The paper deals with modeling wave dispersion in periodically heterogeneous plates characterized by high contrasts in elastic coefficients. We study two plate models based on the Reissner-Mindlin (R-M) theory and on the Kirchhoff-Love (K-L) theory. Models of homogenized plates were obtained using the two-scale unfolding method with the high contrast ansatz respected by scaling the elasticity coefficients of compliant inclusions. Consequently, dispersion properties are retained in the limit when the scale of the microstructure tends to zero. For some wavelengths, ``mass density'' coefficients can be negative, so that intervals of frequencies exist for which there is no propagation of elastic waves, the so-called band-gaps. Dispersion analysis for guidedwaves is performed for both types of the plates; occurrence of band gaps for the R-M plates is confirmed using numerical examples, however, the homogenized K-L plate model does not admit band gaps.

Název v anglickém jazyce

Two scale modeling of acoustic waves in phononic plates using homogenization of high-contrast media

Popis výsledku anglicky

The paper deals with modeling wave dispersion in periodically heterogeneous plates characterized by high contrasts in elastic coefficients. We study two plate models based on the Reissner-Mindlin (R-M) theory and on the Kirchhoff-Love (K-L) theory. Models of homogenized plates were obtained using the two-scale unfolding method with the high contrast ansatz respected by scaling the elasticity coefficients of compliant inclusions. Consequently, dispersion properties are retained in the limit when the scale of the microstructure tends to zero. For some wavelengths, ``mass density'' coefficients can be negative, so that intervals of frequencies exist for which there is no propagation of elastic waves, the so-called band-gaps. Dispersion analysis for guidedwaves is performed for both types of the plates; occurrence of band gaps for the R-M plates is confirmed using numerical examples, however, the homogenized K-L plate model does not admit band gaps.

Druh

D - Stať ve sborníku

CEP obor

BI - Akustika a kmity

OECD FORD obor

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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

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the Eleventh International Conference on Computational Structures Technology

ISBN

978-1-905088-54-6

ISSN

1759-3433

e-ISSN

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Počet stran výsledku

19

Strana od-do

1-19

Název nakladatele

Neuveden

Místo vydání

Dubrovník

Místo konání akce

Dubrovník

Datum konání akce

4. 9. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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