Effective properties of graded elliptical cylindrical composites
文献类型:期刊论文
作者 | Wei, En-Bo; Gu, G. Q.; Poon, Y. M. |
刊名 | PHYSICA B-CONDENSED MATTER
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出版日期 | 2007-04-15 |
卷号 | 392期号:1-2页码:327-331 |
关键词 | Graded Elliptical Cylindrical Composites Effective Response Hyper-geometric Function |
ISSN号 | 0921-4526 |
DOI | 10.1016/j.physb.2006.11.039 |
文献子类 | Article |
英文摘要 | 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. |
学科主题 | Physics, Condensed Matter |
URL标识 | 查看原文 |
语种 | 英语 |
WOS记录号 | WOS:000245484200053 |
公开日期 | 2010-12-24 |
源URL | [http://ir.qdio.ac.cn/handle/337002/5241] ![]() |
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 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. |
入库方式: OAI收割
来源:海洋研究所
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