Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)


May 11 – 14, 2009, Svratka, Czech Republic
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2009 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-35-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Dispersion properties in homogenized piezoelectric phononic materials
E. Rohan, R. Cimrman
pages 1091 - 1102, full text

We consider a composite medium made of weakly piezoelectric inclusions periodically distributed in the matrix which is made of a different piezoelectric material. The medium is subject to a periodic excitation with an incidence wave frequency independent of scale ε of the microscopic heterogeneities. Two-scale method of homogenization was applied to obtain the limit homogenized model which describes acoustic wave propagation in the piezoelectric medium when ε → 0. In analogy with the purely elastic composite, the resulting model is featured by existence of the acoustic band gaps. These are identified for certain frequency ranges whenever the so-called homogenized mass becomes negative. The homogenized model can be used for band gap prediction and for dispersion analysis for low wave numbers. Modeling of these types of composite materials seems to be perspective in the context of Smart Materials design.

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All papers were reviewed by members of the scientific committee.

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