Effective permittivity of materials containing graded ellipsoidal inclusions
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 email@example.com
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