Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes

doi:10.1103/PhysRevB.77.104204

IOCAS-IR > 海洋环流与波动重点实验室

	Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes
	Wei, En-Bo 1; Gu, G. Q.2; Poon, Y. M.3,4
	2008-03-01
发表期刊	PHYSICAL REVIEW B
ISSN	1098-0121
卷号	77 期号:10 页码:104204
文章类型	Article
摘要	The transformation field method (TFM) originated from Eshelby's transformation field theory is developed to estimate the effective permittivity of an anisotropic graded granular composite having inclusions of arbitrary shape and arbitrary anisotropic grading profile. The complicated boundary-value problem of the anisotropic graded composite is solved by introducing an appropriate transformation field within the whole composite region. As an example, the effective dielectric response for an anisotropic graded composite with inclusions having arbitrary geometrical shape and arbitrary grading profile is formulated. The validity of TFM is tested by comparing our results with the exact solution of an isotropic graded composite having inclusions with a power-law dielectric grading profile and good agreement is achieved in the dilute limit. Furthermore, it is found that the inclusion shape and the parameters of the grading profile can have profound effect on the effective permittivity at high concentrations of the inclusions. It is pointed out that TFM used in this paper can be further extended to investigate the effective elastic, thermal, and electroelastic properties of anisotropic graded granular composite materials.; The transformation field method (TFM) originated from Eshelby's transformation field theory is developed to estimate the effective permittivity of an anisotropic graded granular composite having inclusions of arbitrary shape and arbitrary anisotropic grading profile. The complicated boundary-value problem of the anisotropic graded composite is solved by introducing an appropriate transformation field within the whole composite region. As an example, the effective dielectric response for an anisotropic graded composite with inclusions having arbitrary geometrical shape and arbitrary grading profile is formulated. The validity of TFM is tested by comparing our results with the exact solution of an isotropic graded composite having inclusions with a power-law dielectric grading profile and good agreement is achieved in the dilute limit. Furthermore, it is found that the inclusion shape and the parameters of the grading profile can have profound effect on the effective permittivity at high concentrations of the inclusions. It is pointed out that TFM used in this paper can be further extended to investigate the effective elastic, thermal, and electroelastic properties of anisotropic graded granular composite materials.
关键词	Effective Conductivity 1st-principle Approach Nonlinear Composites Spherical-particles Periodic Composites Constant Fibers Moduli Media Field
DOI	10.1103/PhysRevB.77.104204
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000254542700043
引用统计	被引频次：12[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/337002/6242
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.E China Normal Univ, Sch Informat Sci & Technol, Shanghai 200062, Peoples R China 3.Hong Kong Polytech Univ, Dept Appl Phys, Hong Kong, Hong Kong, Peoples R China 4.Hong Kong Polytech Univ, Mat Res Ctr, Hong Kong, Hong Kong, Peoples R China
第一作者单位	中国科学院海洋研究所
推荐引用方式 GB/T 7714	Wei, En-Bo,Gu, G. Q.,Poon, Y. M.. Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes[J]. PHYSICAL REVIEW B,2008,77(10):104204.
APA	Wei, En-Bo,Gu, G. Q.,&Poon, Y. M..(2008).Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes.PHYSICAL REVIEW B,77(10),104204.
MLA	Wei, En-Bo,et al."Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes".PHYSICAL REVIEW B 77.10(2008):104204.

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