,An Effective Medium Approximation of Nonlinear Composites with Spherical Particle

• 作 者: 魏恩泊 顾国庆
• 机 构: College of Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093
• 出 处: 中国物理快报(英文版)
• 发表日期: 2001年7期

We have proposed a nonlinear effective medium approximation (EMA) method to estimate the bulk effective conductivities of weakly nonlinear composite media, which obey a current-field relation of the form J = σE +χ｜E｜2 E. As an example in three dimensions, we apply the EMA method to deal with a spherical inclusion in a host and derive the approximate analytic formulae of nonlinear effective response, which are suitable for the larger volume fraction of spherical inclusion. From our results, we can exactly obtain the generalized Landau formulae in the dilute limit.