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Description
  • V článku jsou shrnuty poslední výsledky v oblasti validace homogenizovaného popisu šíření vln v silně heterogenních elastických materiálech. Limitní model je získán pro stacionární vlny, ale lze jej použít pro predikci šíření rovinné postupující vlny. Distribuce zakázaných pásem závisí na matriálovém kontrastu a geometrickém uspořádání mikrostruktury. Je zmíněna analogie mezi heterogenními diskrátními mechanickými soustavami a heterogenním kontinuem v kontextu disperze. Metodika byla zobecněna i pro piezoelektrické matariály (piezo-fononické krystaly), která lze využít v oblasti návrhu smart materiálů. (cs)
  • In this paper we report recent developments and results concerning validation of the homogenization approach applied in modeling waves in strongly heterogeneous elastic media. The homogenization limit model is obtained for stationary waves, but can also be used to estimate dispersion properties for long guided waves propagation. Band gaps distribution depends on the material contrast and on the geometrical arrangements in the microstructure. Similarity between discrete structures and heterogeneous continua is used to demonstrate the dispersion phenomena. The modeling approach has been extended to the piezo-phononic materials, which may be useful in designing smart materials. Also problems of optimal shape design at the microscopic level were pursued.
  • In this paper we report recent developments and results concerning validation of the homogenization approach applied in modeling waves in strongly heterogeneous elastic media. The homogenization limit model is obtained for stationary waves, but can also be used to estimate dispersion properties for long guided waves propagation. Band gaps distribution depends on the material contrast and on the geometrical arrangements in the microstructure. Similarity between discrete structures and heterogeneous continua is used to demonstrate the dispersion phenomena. The modeling approach has been extended to the piezo-phononic materials, which may be useful in designing smart materials. Also problems of optimal shape design at the microscopic level were pursued. (en)
Title
  • Modeling wave dispersion and band gaps in heterogeneous elastic media
  • Modeling wave dispersion and band gaps in heterogeneous elastic media (en)
  • Modelování vlnové disperze a zakázaných pásem v heterogenních elastických materiálech (cs)
skos:prefLabel
  • Modeling wave dispersion and band gaps in heterogeneous elastic media
  • Modeling wave dispersion and band gaps in heterogeneous elastic media (en)
  • Modelování vlnové disperze a zakázaných pásem v heterogenních elastických materiálech (cs)
skos:notation
  • RIV/49777513:23640/07:00000042!RIV08-MSM-23640___
http://linked.open.../vavai/riv/strany
  • 243
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M06031), P(GA101/07/1471)
http://linked.open...iv/cisloPeriodika
  • 0
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  • 434358
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23640/07:00000042
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  • phononic materials; periodic microstructure; homogenization; dispersion; guided waves (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [F3E8AA8BBD34]
http://linked.open...i/riv/nazevZdroje
  • Applied and Computational Mechanics
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http://linked.open...vavai/riv/projekt
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http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
  • Seifrt, František
issn
  • 1802-680X
number of pages
http://localhost/t...ganizacniJednotka
  • 23640
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