Dielectric response of graded composites having general power-law-graded cylindrical inclusions
文献类型：期刊论文
| 作者 | Wei, EB; Poon, YM |
| 刊名 | JOURNAL OF APPLIED PHYSICS
 |
| 出版日期 | 2005-07-01 |
| 卷号 | 98期号:1页码:14104 |
| 关键词 | Nonlinear Composites Approximation Particles Crack |
| ISSN号 | 0021-8979 |
| DOI | 10.1063/1.1947388 |
| 文献子类 | Article |
| 英文摘要 | 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. |
| 学科主题 | Physics, Applied |
| URL标识 | 查看原文 |
| 语种 | 英语 |
| WOS记录号 | WOS:000231062200082 |
| 公开日期 | 2010-12-22 |
| 源URL | [http://ir.qdio.ac.cn/handle/337002/2459]  |
| 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.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. |
入库方式： OAI收割
来源：海洋研究所
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