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Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials
Department of Physics, University of Cagliari, Cittadella Universitaria, I-09042 Monserrato, Italy
Sardinian Laboratory for Computational Materials Science (SLACS, INFM-CNR), Cittadella Universitaria Monserrato, SP Monserrato-Sestu Km 0.700, I-09042 Monserrato, Italy
Received: 28 July 2009; in revised form: 5 September 2009 / Accepted: 29 September 2009 / Published: 30 September 2009
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.
Giordano S. Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials. Materials. 2009; 2(4):1417-1479.
Giordano, Stefano. 2009. "Dielectric and Elastic Characterization of Nonlinear Heterogeneous Materials." Materials 2, no. 4: 1417-1479.