Estimates of Upper and Lower Bounds of Dispersive Effect in the Homogenized Wave Equation


Abstract eng:
Waves in periodic media undergo dispersion, namely the propagation velocity depends on the frequency. This effect can be modeled by an additional term in the homogenized wave equation. This paper presents the estimation of upper and lower bound of the dispersive effect in the two-dimensional wave equation in the case of an 8-fold symmetric periodic microstructure with constraints of volume, perimeter and homogenized properties.

Publisher:
International Union of Theoretical and Applied Mechanics, 2016
Conference Title:
Conference Title:
24th International Congress of Theoretical and Applied Mechanics
Conference Venue:
Montreal (CA)
Conference Dates:
2016-08-21 / 2016-08-26
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2016-11-15, last modified 2016-11-15


Original version of the author's contribution as presented on CD, page 402, code PO.MS06-1.13.51 .:
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