Materials 2009, 2(4), 1417-1479; doi:10.3390/ma2041417

Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials

Received: 28 July 2009; in revised form: 5 September 2009 / Accepted: 29 September 2009 / Published: 30 September 2009
(This article belongs to the Special Issue Composite Materials)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: 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.
Keywords: nonlinear constitutive equations; composites (nanosystems embedded in a larger structure); mixture theory and order parameters
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MDPI and ACS Style

Giordano, S. Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials. Materials 2009, 2, 1417-1479.

AMA Style

Giordano S. Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials. Materials. 2009; 2(4):1417-1479.

Chicago/Turabian Style

Giordano, Stefano. 2009. "Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials." Materials 2, no. 4: 1417-1479.

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