Dynamic effective characteristics in piezoelectric

Dynamic effective characteristics in piezoelectric composite materials
R. Rodríguez-Ramosa, C. A. Gandarilla-Pérezb, J. A. Otero-Hernándezc,
R. Guinovart-Diaza, J.Bravo-Castilleroa
[email protected], [email protected], [email protected],
[email protected], [email protected]
a
Grupo de Mecánica de Solidos. Facultad de Matemática y Computación, Universidad
de La Habana, San Lázaro y L, Vedado, Habana 4. CP 10400, Cuba.
b
Facultad de Física, Universidad de La Habana, San Lázaro y L, Vedado, Habana 4,
CP-10400, Cuba.
c
Instituto Tecnológico de Estudios Superiores de Monterrey CEM, Atizapán de
Zaragoza, E.M. 52926, México.
An analysis of wave propagation in the low-frequency domain using the self-consistent
effective medium method for a composite with randomly aligned ellipsoidal inclusions
embedded in a matrix is studied. An extension of the self-consistent method proposed
by Sabina and Willis for isotropic and transversally isotropic composites is developed
for linear piezoelectric composites. In that sense, the influence of various geometrical
inclusions forms in both, static and dynamic regimen are analyzed. Quasi-longitudinal
and quasi-transversal waves are considered as a function of the incident wave direction.
Comparisons with other approaches such as, finite element calculations, two-scale
asymptotic homogenization method and with experimental data show excellent results.
Dynamic effective properties, dispersion and attenuation, for composites with different
aspect ratios, and inclusion volume fractions are also illustrated.