Dielectric responses of anisotropic graded granular composites having arbitrary inclusion shapes | |
Wei, En-Bo1; Gu, G. Q.2; Poon, Y. M.3,4 | |
刊名 | PHYSICAL REVIEW B |
2008-03-01 | |
卷号 | 77期号:10页码:104204 |
关键词 | Effective Conductivity 1st-principle Approach Nonlinear Composites Spherical-particles Periodic Composites Constant Fibers Moduli Media Field |
ISSN号 | 1098-0121 |
DOI | 10.1103/PhysRevB.77.104204 |
文献子类 | Article |
英文摘要 | 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. |
URL标识 | 查看原文 |
语种 | 英语 |
WOS记录号 | WOS:000254542700043 |
公开日期 | 2010-12-30 |
内容类型 | 期刊论文 |
源URL | [http://ir.qdio.ac.cn/handle/337002/6243] |
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.. 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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