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Open AccessReview

Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials

1
Department of Physics, University of Cagliari, Cittadella Universitaria, I-09042 Monserrato, Italy
2
Sardinian Laboratory for Computational Materials Science (SLACS, INFM-CNR), Cittadella Universitaria Monserrato, SP Monserrato-Sestu Km 0.700, I-09042 Monserrato, Italy
Materials 2009, 2(4), 1417-1479; https://doi.org/10.3390/ma2041417
Received: 28 July 2009 / Revised: 5 September 2009 / Accepted: 29 September 2009 / Published: 30 September 2009
(This article belongs to the Special Issue Composite Materials)
This review paper deals with the dielectric and elastic characterization of composite materials constituted by dispersions of nonlinear inclusions embedded in a linear matrix. The dielectric theory deals with pseudo-oriented particles shaped as ellipsoids of revolution: it means that we are dealing with mixtures of inclusions of arbitrary aspect ratio and arbitrary non-random orientational distributions. The analysis ranges from parallel spheroidal inclusions to completely random oriented inclusions. Each ellipsoidal inclusion is made of an isotropic dielectric material described by means of the so-called Kerr nonlinear relation. On the other hand, the nonlinear elastic characterization takes into consideration a dispersion of nonlinear (spherical or cylindrical) inhomogeneities. Both phases are considered isotropic (actually it means polycrystalline or amorphous solids). Under the simplifying hypotheses of small deformation for the material body and of small volume fraction of the embedded phase, we describe a theory for obtaining the linear and nonlinear elastic properties (bulk and shear moduli and Landau coefficients) of the overall material. View Full-Text
Keywords: nonlinear constitutive equations; composites (nanosystems embedded in a larger structure); mixture theory and order parameters nonlinear constitutive equations; composites (nanosystems embedded in a larger structure); mixture theory and order parameters
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Giordano, S. Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials. Materials 2009, 2, 1417-1479.

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