About: Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider a three-dimensional composite material made of small inclusions periodically embedded in an elastic matrix; the whole structure presents strong heterogeneities between its different components. In the general framework of linearized elasticity 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. Hence we are able to rigorously justify the existence of forbidden bands, i.e., intervals of frequencies in which there is no propagation of elastic waves. In particular, we show how to compute these band gaps and we illustrate the theoretical results with some numerical simulations. We consider a three-dimensional composite material made of small inclusions periodically embedded in an elastic matrix; the whole structure presents strong heterogeneities between its different components. In the general framework of linearized elasticity 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. Hence we are able to rigorously justify the existence of forbidden bands, i.e., intervals of frequencies in which there is no propagation of elastic waves. In particular, we show how to compute these band gaps and we illustrate the theoretical results with some numerical simulations. (en) Uvažujeme 3D kompozitní materiál tvořený malými inkluzemi periodicky rozmístěnými periodicky v elastické matrici; struktura je silně heterogenní v elastických koeficientech. V obecném rámci lineární pružnosti je ukázáno, že se snižováním charakteristického rozměru mikrostruktury k nule efektivní hmotnost limitního modelu může pro některé frekvence být záporná. Tím lze pro vybrané frekvence vysvětlit výskyt zakázaných pásem, v nichž nedochází k šíření elastických vln. Je ukázán způsob výpočtu zakázaných pásem a jsou uvedeny numerické příklady. (cs)
Title	Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps (en) Multi-škálové modelování elastických vln : teorie a numerické simulace pro zjišťování zakázaných pásem (cs)
skos:prefLabel	Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps (en) Multi-škálové modelování elastických vln : teorie a numerické simulace pro zjišťování zakázaných pásem (cs)
skos:notation	RIV/49777513:23640/08:00500420!RIV09-MSM-23640___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA101/07/1471), Z(MSM4977751303)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Rohan, Eduard
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
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	381218
http://linked.open...ai/riv/idVysledku	RIV/49777513:23640/08:00500420
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	elastic waves; composite materials; strong heterogenization; negative mass density; band gaps (en)
http://linked.open.../riv/klicoveSlovo	composite materials band gaps elastic waves negative mass density strong heterogenization
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[35C60BBD9E65]
http://linked.open...i/riv/nazevZdroje	Multiscale Modeling and Simulation
http://linked.open...in/vavai/riv/obor	BK
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Finite element modelling of linear, non-linear and multiscale effects in wave propagation in solids and heterogeneous media
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	7
http://linked.open...iv/tvurceVysledku	Miara, Bernadette Rohan, Eduard Ávila, Akie K. Griso, Georges
http://linked.open...ain/vavai/riv/wos	000256452200001
http://linked.open...n/vavai/riv/zamer	Predikce poruch heterogenních materiálů, komponent mechanických a biomechanických systémů.
issn	1540-3467
number of pages	21 (xsd:int)
http://localhost/t...ganizacniJednotka	23640
is http://linked.open...avai/riv/vysledek of	Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps Multiscale modeling of elastic waves : theoretical justification and numerical simulation of band gaps

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