Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/4875
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Title: Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes
Authors: Wei, EB
Gu, GQ
Poon, YM
Issue Date: 1-Mar-2008
Source: Physical review. B, Condensed matter and materials physics, 1 Mar. 2008, v. 77, no. 10, 104204, p. 1-6
Abstract: The transformation field method (TFM) originated from Eshelby’s transformation field theory is developed to estimate the effective permittivity of an anisotropic graded granular composite having inclusions of arbitrary shape and arbitrary anisotropic grading profile. The complicated boundary-value problem of the anisotropic graded composite is solved by introducing an appropriate transformation field within the whole composite region. As an example, the effective dielectric response for an anisotropic graded composite with inclusions having arbitrary geometrical shape and arbitrary grading profile is formulated. The validity of TFM is tested by comparing our results with the exact solution of an isotropic graded composite having inclusions with a power-law dielectric grading profile and good agreement is achieved in the dilute limit. Furthermore, it is found that the inclusion shape and the parameters of the grading profile can have profound effect on the effective permittivity at high concentrations of the inclusions. It is pointed out that TFM used in this paper can be further extended to investigate the effective elastic, thermal, and electroelastic properties of anisotropic graded granular composite materials.
Keywords: Composite materials
Elasticity
Granular materials
Inclusions
Permittivity
Thermal properties
Publisher: American Physical Society
Journal: Physical review. B, Condensed matter and materials physics 
ISSN: 1098-0121
EISSN: 1550-235X
DOI: 10.1103/PhysRevB.77.104204
Rights: Physical Review B © 2008 The American Physical Society. The Journal's web site is located at http://prb.aps.org/
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