About: On Dispersion and Band Gaps in Heterogeneous Media

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Dispersion and existence of the band gaps belong to well known features of periodically arranged structures with finite scale of the heterogeneities. Assuming long waves propagation, these phenomena can be studied using the limit homogenized model of elastic, or piezo-elastic composites. For this a strong heterogeneity in the elastic coefficients is considered. To justify such artificial modelling assumption, we discuss a numerical convergence of the scale-dependent solution to the limit one. The influence of the microstructural topology and geometry on the homogenization result is discussed; in particular, two cases are considered: soft inclusions in stiff matrix and rigid inclusions in compliant matrix. The sensitivity analysis of the band gap distribution w.r.t. shape of the inclusions is presented, numerical examples are included. Dispersion and existence of the band gaps belong to well known features of periodically arranged structures with finite scale of the heterogeneities. Assuming long waves propagation, these phenomena can be studied using the limit homogenized model of elastic, or piezo-elastic composites. For this a strong heterogeneity in the elastic coefficients is considered. To justify such artificial modelling assumption, we discuss a numerical convergence of the scale-dependent solution to the limit one. The influence of the microstructural topology and geometry on the homogenization result is discussed; in particular, two cases are considered: soft inclusions in stiff matrix and rigid inclusions in compliant matrix. The sensitivity analysis of the band gap distribution w.r.t. shape of the inclusions is presented, numerical examples are included. (en) Disperze a existence zakázaných pásem (band gaps) patří k charakteristickým vlastnostem periodických struktur s konečnou velikostí heterogenit. Předpokládáme-li šíření dlouhých vln, tyto vlastnosti lze studovat pomocí limitního homogenizovaného modelu piezo-elastických kompozitů se silnou heterogenitou v elastických koeficientech. Pro validaci modelu je nutné prokázat konvergenci škálově závisého řešení k výsledku získanému limitním modelem. Je diskutována otázka vlivu mikrostruktury a citlivostní analýza distribuce zakázaných pásem. (cs)
Title	On Dispersion and Band Gaps in Heterogeneous Media On Dispersion and Band Gaps in Heterogeneous Media (en) Disperze a zakázaná pásma v heterogenních materiálech (cs)
skos:prefLabel	On Dispersion and Band Gaps in Heterogeneous Media On Dispersion and Band Gaps in Heterogeneous Media (en) Disperze a zakázaná pásma v heterogenních materiálech (cs)
skos:notation	RIV/49777513:23640/07:00000038!RIV08-MSM-23640___
http://linked.open.../vavai/riv/strany	45-47
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(1M06031), P(GA101/07/1471)
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Seifrt, František Rohan, Eduard
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Nové technologie - výzkumné centrum
http://linked.open...dnocenehoVysledku	439213
http://linked.open...ai/riv/idVysledku	RIV/49777513:23640/07:00000038
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	band gap; periodic structure; strong heterogeneity; homogenization; dispersion (en)
http://linked.open.../riv/klicoveSlovo	homogenization band gap dispersion strong heterogeneity periodic structure
http://linked.open...ontrolniKodProRIV	[285657BA5DB8]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Prague
http://linked.open...i/riv/nazevZdroje	Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Materials and components for environment protection Finite element modelling of linear, non-linear and multiscale effects in wave propagation in solids and heterogeneous media
http://linked.open...UplatneniVysledku	2007
http://linked.open...iv/tvurceVysledku	Miara, Bernadette Rohan, Eduard Seifrt, František
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2007-01-01 (xsd:date)
number of pages	3 (xsd:int)
http://purl.org/ne...btex#hasPublisher	České vysoké učení technické v Praze
https://schema.org/isbn	978-80-01-03762-1
http://localhost/t...ganizacniJednotka	23640
is http://linked.open...avai/riv/vysledek of	On Dispersion and Band Gaps in Heterogeneous Media On Dispersion and Band Gaps in Heterogeneous Media On Dispersion and Band Gaps in Heterogeneous Media

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