https://doi.org/10.1140/epjb/e2008-00382-7
Effective permittivity of materials containing graded ellipsoidal inclusions
1
Department of Physics, University of Cagliari, Cittadella Universitaria, 09042 Monserrato (Ca), Italy
2
Sardinian Laboratory for Computational Materials Science (SLACS, INFM-CNR), Cittadella Universitaria, 09042 Monserrato (Ca), Italy
Corresponding author: a stefano.giordano@dsf.unica.it
Received:
25
July
2008
Published online:
8
October
2008
We prove a generic theorem stating the equivalence between a graded dielectric ellipsoid (with gradation along a family of internal confocal ellipsoids) and an anisotropic homogeneous ellipsoid. We then describe a procedure to obtain the three principal permittivities of the effective ellipsoid for any given dielectric gradation profile. Finally, we apply a multiscale approach to homogenize dispersions of ellipsoidal graded particles.
PACS: 77.22.Ch – Permittivity (dielectric function) / 77.84.Lf – Composite materials / 85.50.-n – Dielectric, ferroelectric, and piezoelectric devices
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
