Nonlinear electrical conductivity in heterogeneous media

被引:23
作者
Castaneda, PP
Kailasam, M
机构
[1] Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1997年 / 453卷 / 1959期
关键词
D O I
10.1098/rspa.1997.0044
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A new method is proposed for estimating the effective behaviour of strongly nonlinear composite materials. The central idea is to write down second-order Taylor expansions for the constituent phase energy functions, about appropriately chosen reference fields. This allows the restatement of the problem for the nonlinear composite in terms of a corresponding problem for a fictitious linear composite with anisotropic constituents, subjected to a given distribution of polarization fields. The procedure thus permits the straightforward conversion of well-known estimates for linear composites, such as the Maxwell-Garnett and effective-medium approximations, into corresponding estimates for nonlinear composites. The resulting nonlinear Maxwell-Garnett and effective-medium estimates are exact to second order in the contrast.
引用
收藏
页码:793 / 816
页数:24
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