Effective properties of graded elliptical cylindrical composites

doi:10.1016/j.physb.2006.11.039

IOCAS-IR > 海洋环流与波动重点实验室

	Effective properties of graded elliptical cylindrical composites
	Wei, En-Bo ; Gu, G. Q.; Poon, Y. M.
	2007-04-15
发表期刊	PHYSICA B-CONDENSED MATTER
ISSN	0921-4526
卷号	392 期号:1-2 页码:327-331
文章类型	Article
摘要	The effective property has been investigated theoretically in graded elliptical cylindrical composite's consisting of inhomogeneous graded elliptical cylinders and an isotropic matrix under external uniform electric field. As a theoretical model, the dielectric gradient profile in the elliptical cylinder is modeled by a power-law function of short semi-axis variable parameter (xi(2) - 1) in the elliptical cylindrical coordinates, namely epsilon(i)(xi) = c(k) (xi(2) - 1)(k), where c(k) and k are the parameters, and xi is the long semi-axis space variable in an elliptical cylindrical inclusion region. In the dilute limit, the local analytical potentials in inclusion and matrix regions are derived exactly by means of the hyper-geometric function, and the formulas are given for estimating the effective dielectric responses under the external lfield along (x) over cap- and (y) over cap -directions, respectively. Furthermore, we have demonstrated that our effective response formulas can be reduced to the well-known results of homogeneous isotropic elliptical cylindrical composites if we take the limit k -> 0 in graded elliptical cylindrical composites. (c) 2006 Elsevier B.V. All rights reserved.; The effective property has been investigated theoretically in graded elliptical cylindrical composite's consisting of inhomogeneous graded elliptical cylinders and an isotropic matrix under external uniform electric field. As a theoretical model, the dielectric gradient profile in the elliptical cylinder is modeled by a power-law function of short semi-axis variable parameter (xi(2) - 1) in the elliptical cylindrical coordinates, namely epsilon(i)(xi) = c(k) (xi(2) - 1)(k), where c(k) and k are the parameters, and xi is the long semi-axis space variable in an elliptical cylindrical inclusion region. In the dilute limit, the local analytical potentials in inclusion and matrix regions are derived exactly by means of the hyper-geometric function, and the formulas are given for estimating the effective dielectric responses under the external lfield along (x) over cap- and (y) over cap -directions, respectively. Furthermore, we have demonstrated that our effective response formulas can be reduced to the well-known results of homogeneous isotropic elliptical cylindrical composites if we take the limit k -> 0 in graded elliptical cylindrical composites. (c) 2006 Elsevier B.V. All rights reserved.
关键词	Graded Elliptical Cylindrical Composites Effective Response Hyper-geometric Function
学科领域	Physics, Condensed Matter
DOI	10.1016/j.physb.2006.11.039
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000245484200053
引用统计	被引频次：3[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/337002/5240
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
推荐引用方式 GB/T 7714	Wei, En-Bo,Gu, G. Q.,Poon, Y. M.. Effective properties of graded elliptical cylindrical composites[J]. PHYSICA B-CONDENSED MATTER,2007,392(1-2):327-331.
APA	Wei, En-Bo,Gu, G. Q.,&Poon, Y. M..(2007).Effective properties of graded elliptical cylindrical composites.PHYSICA B-CONDENSED MATTER,392(1-2),327-331.
MLA	Wei, En-Bo,et al."Effective properties of graded elliptical cylindrical composites".PHYSICA B-CONDENSED MATTER 392.1-2(2007):327-331.

条目包含的文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
wei-Effective proper（156KB）			限制开放	--	浏览