Effective dielectric responses of graded composites of the particles with a general power-law gradation profile

doi:10.1016/j.physleta.2005.01.006

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	Effective dielectric responses of graded composites of the particles with a general power-law gradation profile
	Wei, EB ; Poon, YM ; Shin, FG
刊名	PHYSICS LETTERS A
	2005-03-07
卷号	336 期号:2-3 页码:264-270
关键词	Graded Composite Effective Response Differential Effective Dipole Approximation
ISSN号	0375-9601
DOI	10.1016/j.physleta.2005.01.006
文献子类	Article
英文摘要	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(i) (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 epsilon(i)(r) = cr(k) and linear dielectric profile epsilon(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. (C) 2005 Elsevier B.V. All rights reserved.; 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(i) (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 epsilon(i)(r) = cr(k) and linear dielectric profile epsilon(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. (C) 2005 Elsevier B.V. All rights reserved.
学科主题	Physics, Multidisciplinary
URL标识	查看原文
语种	英语
WOS记录号	WOS:000227204400026
公开日期	2010-12-22
内容类型	期刊论文
源URL	[http://ir.qdio.ac.cn/handle/337002/2461]
专题	海洋研究所_海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 066071, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Phys, Hong Kong, Hong Kong, Peoples R China 3.Hong Kong Polytech Univ, Mat Res Ctr, Hong Kong, Hong Kong, Peoples R China 4.Hong Kong Polytech Univ, Ctr Smart Mat, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Wei, EB,Poon, YM,Shin, FG. Effective dielectric responses of graded composites of the particles with a general power-law gradation profile[J]. PHYSICS LETTERS A,2005,336(2-3):264-270.
APA	Wei, EB,Poon, YM,&Shin, FG.(2005).Effective dielectric responses of graded composites of the particles with a general power-law gradation profile.PHYSICS LETTERS A,336(2-3),264-270.
MLA	Wei, EB,et al."Effective dielectric responses of graded composites of the particles with a general power-law gradation profile".PHYSICS LETTERS A 336.2-3(2005):264-270.