000009178 001__ 9178
000009178 005__ 20141204092415.0
000009178 04107 $$aeng
000009178 046__ $$k12/05/2014
000009178 100__ $$aRohan, E.
000009178 24500 $$aHomogenized phononic plates and wave dispersion

000009178 24630 $$n18.$$pEngineering Mechanics 2012
000009178 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, Prague
000009178 506__ $$arestricted
000009178 520__ $$2eng$$aWe 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.

000009178 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009178 653__ $$aphononic materials, plate models, homogenization, band gaps, wave dispersion

000009178 7112_ $$aEngineering Mechanics 2012$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2012
000009178 720__ $$aRohan, E.$$iCimrman, R.$$iMiara, B.
000009178 8560_ $$ffischerc@itam.cas.cz
000009178 8564_ $$s297204$$uhttps://invenio.itam.cas.cz/record/9178/files/079_Rohan_E-FT.pdf$$yOriginal version of the author's contribution as presented on CD, paper (No. 079).
000009178 962__ $$r8924
000009178 980__ $$aPAPER