Effective conductivities of heterogeneous media containing multiple   inclusions with various spatial distributions

doi:10.1103/PhysRevB.73.174203

CORC > 北京大学 > 工学院

	Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions
	Duan, H. L. ; Karihaloo, B. L. ; Wang, J. ; Yi, X.
刊名	physical review b
	2006
关键词	NONCONDUCTING INCLUSIONS ELECTRICAL-CONDUCTIVITY ANISOTROPIC COMPOSITES BOUNDS SHAPE MATRIX BODIES
DOI	10.1103/PhysRevB.73.174203
英文摘要	A scheme is proposed for predicting the effective conductivities of heterogeneous media containing ellipsoidal inclusions of diverse shapes, spatial distributions, and orientations. This scheme yields explicit expressions for the effective conductivity tensor in terms of three microstructural parameters that characterize the shape, distribution, and orientation of the inclusions. By expanding the effective conductivity tensor in terms of the volume fraction of the inclusions, it is found that the effect of the shape of the distribution ellipsoid on the effective conductivity tensor is of a higher order in the volume fraction than the effect of the shape of the inclusions. The scheme proposed here generalizes the Maxwell formula to heterogeneous media containing multiple inclusions while also taking into account the orientation of the inclusions. Thus, the existing formulas in the literature are special cases of the general formulas given by the present scheme. The predicted effective conductivities of heterogeneous media containing aligned ellipsoidal inclusions, randomly oriented ellipsoidal inclusions, spheroidal inclusions with orientational distributions, and mixtures of cavities and cracks are found to agree well with the experimental results and the results of other schemes.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000237950200051&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Condensed Matter; SCI(E); 34; ARTICLE; 17; 73
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/398840]
专题	工学院
推荐引用方式 GB/T 7714	Duan, H. L.,Karihaloo, B. L.,Wang, J.,et al. Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions[J]. physical review b,2006.
APA	Duan, H. L.,Karihaloo, B. L.,Wang, J.,&Yi, X..(2006).Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions.physical review b.
MLA	Duan, H. L.,et al."Effective conductivities of heterogeneous media containing multiple inclusions with various spatial distributions".physical review b (2006).