强非线性复合材料中的原胞有效媒质近似

本文提出了原胞有效煤质近似（ＣＥＭＡ）来研究强非线性复合导体的有效非线性响 应．在该复合介质内，各组分的电流密度与电场关系满足，式中ｘ是非线性响应．这 个原胞模型由两种原胞组成，一种是由核和壳组成的复合原胞，另一种是由单相组成的简单原 胞．研究的基础是把变化原理和有效媒质理论相结合应用于集合原胞系统中．ＣＥＭＡ提出了一 个适用于强非线性复合介质的一般形式．

CELLULAR EFFECTIVE MEDIUM APPROXIMATION FOR STRONGLY NONLINEAR COMPOSITE MATERIALS

The cellular effective medium approximation (CEMA) is proposed to investigate the effective nonlinear response of strongly nonlinear composite conductors in which bath of two components obey the current density (J)-field (E) relation of the form cubic nonlinearity, where X is the nonlinear susceptibility. The cellular model is given of such structures in terms of two type of cells, one is complex cell consisting of a core and a shell, while the other is simple cell consist- ing of a phase. The proceduree is based on applying variational principle in conjunction with effective medium theory to an assembly of such cells. The CEMA provides a general form which can include other known approximations on strongly nonlinear composites.