Transformation field method for calculating the effective properties of isotropic graded composites having arbitrary shapes

doi:10.1103/PhysRevB.76.134206

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	Transformation field method for calculating the effective properties of isotropic graded composites having arbitrary shapes
	Wei, En-Bo 1; Gu, G. Q.2; Yu, K. W.3
	2007-10-01
发表期刊	PHYSICAL REVIEW B
ISSN	1098-0121
卷号	76 期号:13 页码:134206
文章类型	Article
摘要	A method of transformation field is developed to estimate the effective properties of graded composites whose inclusions have arbitrary shapes and gradient profiles by means of a periodic cell model. The boundary-value problem of graded composites having arbitrary inclusion shapes is solved by introducing the transformation field into the inclusion region. As an example, the effective dielectric response of isotropic graded composites having arbitrary shapes and gradient profiles is handled by the transformation field method (TFM). Moreover, TFM results are validated by the exact solutions of isotropic graded spherical inclusions having a power-law profile and good agreement is obtained in the dilute limit. Furthermore, it is found that the inclusion shapes and the parameters of the gradient profiles can have profound effect on the effective properties of composite systems at high concentration of inclusions.; A method of transformation field is developed to estimate the effective properties of graded composites whose inclusions have arbitrary shapes and gradient profiles by means of a periodic cell model. The boundary-value problem of graded composites having arbitrary inclusion shapes is solved by introducing the transformation field into the inclusion region. As an example, the effective dielectric response of isotropic graded composites having arbitrary shapes and gradient profiles is handled by the transformation field method (TFM). Moreover, TFM results are validated by the exact solutions of isotropic graded spherical inclusions having a power-law profile and good agreement is obtained in the dilute limit. Furthermore, it is found that the inclusion shapes and the parameters of the gradient profiles can have profound effect on the effective properties of composite systems at high concentration of inclusions.
关键词	Effective Dielectric-constant Effective Conductivity 1st-principle Approach Nonlinear Composites Spherical-particles Periodic Composites Responses Moduli Media
DOI	10.1103/PhysRevB.76.134206
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000250619800054
引用统计	被引频次：8[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/337002/6244
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.Chinese Univ Hong Kong, Inst Theoret Phys, Dept Phys, Shatin, 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.,Yu, K. W.. Transformation field method for calculating the effective properties of isotropic graded composites having arbitrary shapes[J]. PHYSICAL REVIEW B,2007,76(13):134206.
APA	Wei, En-Bo,Gu, G. Q.,&Yu, K. W..(2007).Transformation field method for calculating the effective properties of isotropic graded composites having arbitrary shapes.PHYSICAL REVIEW B,76(13),134206.
MLA	Wei, En-Bo,et al."Transformation field method for calculating the effective properties of isotropic graded composites having arbitrary shapes".PHYSICAL REVIEW B 76.13(2007):134206.

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