Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Conductivities of heterogeneous media with graded anisotropic constituents

Duan, H. L., Karihaloo, Bhushan Lal, 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

Download (523kB) | Preview


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: 04 Jun 2017 02:54

Citation Data

Cited 11 times in Google Scholar. View in Google Scholar

Cited 13 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item


Downloads per month over past year

View more statistics