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 {epsilon}{sub i}(r)=c(b+r){sup 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 {epsilon}{sub i}(r)=cr{sup k} and linear dielectric profile {epsilon}{sub i}(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.
Enbo, Wei;
[1]
Poon, Y M;
[2]
Shin, F G
[3]
- Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071 (China)
- Department of Applied Physics and Materials Research Centre, Hong Kong Polytechnic University, Hong Kong (China)
- Department of Applied Physics, Materials Research Centre and Centre for Smart Materials, Hong Kong Polytechnic University, Hong Kong (China)
Citation Formats
Enbo, Wei, Poon, Y M, and Shin, F G.
Effective dielectric responses of graded composites of the particles with a general power-law gradation profile.
Netherlands: N. p.,
2005.
Web.
doi:10.1016/j.physleta.2005.01.006.
Enbo, Wei, Poon, Y M, & Shin, F G.
Effective dielectric responses of graded composites of the particles with a general power-law gradation profile.
Netherlands.
https://doi.org/10.1016/j.physleta.2005.01.006
Enbo, Wei, Poon, Y M, and Shin, F G.
2005.
"Effective dielectric responses of graded composites of the particles with a general power-law gradation profile."
Netherlands.
https://doi.org/10.1016/j.physleta.2005.01.006.
@misc{etde_20616747,
title = {Effective dielectric responses of graded composites of the particles with a general power-law gradation profile}
author = {Enbo, Wei, Poon, Y M, and Shin, F G}
abstractNote = {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 {epsilon}{sub i}(r)=c(b+r){sup 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 {epsilon}{sub i}(r)=cr{sup k} and linear dielectric profile {epsilon}{sub i}(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.}
doi = {10.1016/j.physleta.2005.01.006}
journal = []
issue = {2-3}
volume = {336}
journal type = {AC}
place = {Netherlands}
year = {2005}
month = {Mar}
}
title = {Effective dielectric responses of graded composites of the particles with a general power-law gradation profile}
author = {Enbo, Wei, Poon, Y M, and Shin, F G}
abstractNote = {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 {epsilon}{sub i}(r)=c(b+r){sup 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 {epsilon}{sub i}(r)=cr{sup k} and linear dielectric profile {epsilon}{sub i}(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.}
doi = {10.1016/j.physleta.2005.01.006}
journal = []
issue = {2-3}
volume = {336}
journal type = {AC}
place = {Netherlands}
year = {2005}
month = {Mar}
}