Conductivities of heterogeneous media with graded anisotropic constituents

Duan, H. L., Karihaloo, Bhushan Lal ORCID: https://orcid.org/0000-0003-0657-2678, Yi, X. and Wang, J. 2006. Conductivities of heterogeneous media with graded anisotropic constituents. Journal of Applied Physics 100 (3) , 034906. 10.1063/1.2222078

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Abstract

Two methods are presented to predict the effective conductivities of heterogeneous media containing discretely suspended particles. The particles have either graded anisotropy or a graded anisotropic interphase. A differential replacement procedure based on an energy equivalency condition is presented first to replace the graded anisotropic constituents by equivalent homogeneous isotropic particles. This allows many approximate schemes to be used to predict the effective conductivities of the heterogeneous media containing graded anisotropic constituents from the conductivity of the equivalent homogeneous particles. Next, the optimized upper and lower bounds on the effective conductivities of these heterogeneous media are presented by introducing comparison materials. It is shown that the DRP predictions are within these bounds for the considered media.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Uncontrolled Keywords:	functionally graded materials, electrical conductivity, elastic constants, permittivity, thermal conductivity
Publisher:	American Institute of Physics
ISSN:	0021-8979
Last Modified:	18 May 2023 06:51
URI:	https://orca.cardiff.ac.uk/id/eprint/13624

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