高体积分数颗粒增强复合材料有效线性与非线性介电性质的研究  

Linear and Nonlinear Dielectric Properties of Particulate Composites at Finite Concentration

作　　者：周萧明[1] 胡更开[1] 

机构地区：[1]北京理工大学理学院力学系,北京100081

出　　处：《应用数学和力学》2006年第8期891-898,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10325210)

摘　　要：基于两球相互作用的近似解,提出了一种解析方法来预测颗粒增强复合材料的线性有效介电性质,该方法可以应用于颗粒体积分数较高(可达50%)的情况.利用割线方法还研究了该类复合材料的非线性有效性质.结果表明当外加电场较弱时该文提出的方法与Stroud和Hui的方法比较接近,当外场较强时与Yu和Hui的方法一致.An analytical method was proposed to calculate effective linear and nonlinear dielectric properties for particulate composites. The method is based on an approximate solution of two-particle interaction problem, and it can be applied to relatively high volume concentration of particles （up to 50% ）. Nonlinear dielectric property was also examined by means of secant method. It is found that for low applied electric filed the proposed method is close to Stroud and Hui＇s method and for high applied electric filed it is close to Yu＇s method.

关 键 词：等效介电常数 高体积百分比 非线性复合材料 割线法 

分 类 号：TB330.1[一般工业技术—材料科学与工程]