On acoustic band gaps in homogenized piezoelectric phononic materials
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Date issued
2010
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
University of West Bohemia
Abstract
We consider a composite medium made of weakly piezoelectric inclusions periodically distributed in the matrix
which ismade of a different piezoelectricmaterial. Themediumis subject to a periodic excitation with an incidence
wave frequency independent of scale ε of the microscopic heterogeneities. Two-scale method of homogenization
is 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 allows 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 such composite materials seems to be perspective in the context of Smart Materials
design.
Description
Subject(s)
fononické materiály, piezoelektrické materiály, homogenizace
Citation
Applied and Computational Mechanics. 2010, vol. 4, no. 1, p. 89-100.