Dielectric response of graded composites having general power-law-graded cylindrical inclusions

doi:10.1063/1.1947388

IOCAS-IR > 海洋环流与波动重点实验室

	Dielectric response of graded composites having general power-law-graded cylindrical inclusions
	Wei, EB ; Poon, YM
	2005-07-01
发表期刊	JOURNAL OF APPLIED PHYSICS
ISSN	0021-8979
卷号	98 期号:1 页码:14104
文章类型	Article
摘要	The dielectric response of graded composites having general power-law-graded cylindrical inclusions under a uniform applied electric field is investigated. The dielectric profile of the cylindrical inclusions is modeled by the equation epsilon(i)(r)=c(b+r)(k) (where r is the radius of the cylindrical inclusions and c, b and k are parameters). Analytical solutions for the local electrical potentials are derived in terms of hypergeometric functions and the effective dielectric response of the graded composites is predicted in the dilute limit. Moreover, for a simple power-law dielectric profile epsilon(i)(r) = cr(k) and a linear dielectric profile epsilon(i)(r) = c(b + r), analytical expressions of the electrical potentials and the effective dielectric response are derived exactly from our results by taking the limits b -> 0 and k -> 1, respectively. For a higher concentration of inclusions, the effective dielectric response is estimated by an effective-medium approximation. In addition, we have discussed the effective response of graded cylindrical composites with a more complex dielectric profile of inclusion, epsilon(i)(r)=c(b+r)(k)e(beta r). (c) 2005 American Institute of Physics.; The dielectric response of graded composites having general power-law-graded cylindrical inclusions under a uniform applied electric field is investigated. The dielectric profile of the cylindrical inclusions is modeled by the equation epsilon(i)(r)=c(b+r)(k) (where r is the radius of the cylindrical inclusions and c, b and k are parameters). Analytical solutions for the local electrical potentials are derived in terms of hypergeometric functions and the effective dielectric response of the graded composites is predicted in the dilute limit. Moreover, for a simple power-law dielectric profile epsilon(i)(r) = cr(k) and a linear dielectric profile epsilon(i)(r) = c(b + r), analytical expressions of the electrical potentials and the effective dielectric response are derived exactly from our results by taking the limits b -> 0 and k -> 1, respectively. For a higher concentration of inclusions, the effective dielectric response is estimated by an effective-medium approximation. In addition, we have discussed the effective response of graded cylindrical composites with a more complex dielectric profile of inclusion, epsilon(i)(r)=c(b+r)(k)e(beta r). (c) 2005 American Institute of Physics.
关键词	Nonlinear Composites Approximation Particles Crack
学科领域	Physics, Applied
DOI	10.1063/1.1947388
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000231062200082
引用统计	被引频次：9[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/2458
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, 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
推荐引用方式 GB/T 7714	Wei, EB,Poon, YM. Dielectric response of graded composites having general power-law-graded cylindrical inclusions[J]. JOURNAL OF APPLIED PHYSICS,2005,98(1):14104.
APA	Wei, EB,&Poon, YM.(2005).Dielectric response of graded composites having general power-law-graded cylindrical inclusions.JOURNAL OF APPLIED PHYSICS,98(1),14104.
MLA	Wei, EB,et al."Dielectric response of graded composites having general power-law-graded cylindrical inclusions".JOURNAL OF APPLIED PHYSICS 98.1(2005):14104.

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