Homogenized phononic plates and wave dispersion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915743" target="_blank" >RIV/49777513:23520/12:43915743 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23640/12:43915743
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Homogenized phononic plates and wave dispersion
Original language description
We consider the problem of wave propagation in periodically heterogeneous composite plates with high contrasts in elastic coefficients. The unfolding method of homogenization is applied to obtain limit plate models. Due to the high contrast ansatz in scaling the elasticity coefficients of compliant inclusions, the dispersion properties are retained in the limit when the scale of the microstructure tends to zero. We study two plate models based on the Reissner-Mindlin theory and on the Kirchhoff-Love theory. We show that, when the size of the microstructures tends to zero, the limit homogeneous structure presents, for some wavelengths, a negative ``mass density'' tensor. This means that there exist intervals of frequencies in which there is no propagation of elastic waves, the so-called band-gaps.
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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Engineering Mechanics 2012, 18th International Conference
ISBN
978-80-86246-40-6
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
1109-1117
Publisher name
Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague
Place of publication
Praha
Event location
Svratka
Event date
May 14, 2012
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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