Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/28247
Title: Effective dielectric responses of graded composites of the particles with a general power-law gradation profile
Authors: Wei, EB
Poon, YM
Shin, FG
Keywords: Differential effective dipole approximation
Effective response
Graded composite
Issue Date: 2005
Publisher: Elsevier Science Bv
Source: Physics letters, section a : general, atomic and solid state physics, 2005, v. 336, no. 2-3, p. 264-270 How to cite?
Journal: Physics Letters, Section A: General, Atomic and Solid State Physics 
Abstract: The effective dielectric response of graded spherical composites having general power-law gradient inclusions is investigated under a uniform applied electric field, where the dielectric gradation profile of the spherical inclusions is modeled by the equation εi(r)=c(b+r)k. Analytical solutions of the local electrical potentials are derived in terms of hyper-geometric function and the effective dielectric response of the graded composites is predicted in the dilute limit. From our result, the local potentials of graded spherical composites having both simple power-law dielectric profile εi(r)=crk and linear dielectric profile εi(r)=c(b+r) are derived exactly by taking the limits b→0 and k→1, respectively. In the dilute limit, our exact result is used to test the validity of differential effective dipole approximation (DEDA) for estimating the effective response of graded spherical composites, and it is shown that the DEDA is in excellent agreement with exact result.
URI: http://hdl.handle.net/10397/28247
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2005.01.006
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