多孔和复合媒质直流电导率的计算方法(Ⅱ)——应用于各向同性和各向异性复合材料

本文系统地讨论了复合媒质直流电导率的第一性原理计算方法,导出了计算定域各向异性的复合材料的有效电导率的积分方程,提出了计算有效电导率张量的简便方法。我们计算了定域各向异性材料的有效电导率张量。还发展了计算无周期性的更一般的复合材料的理论方法。另外,本文提出积分方程近似计算的一种新方法(双基展开法)。该方法可用于对孔隙度大的复杂结构作精确的理论计算,并具有节省计算时间的优点。 关键词：

A METHOD FOR CALCULATING D. C. CONDUCTIVITIES OF THE POROUS MEDIUM AND COMPOSITE (Ⅱ)——AN APPROACH TO THE ISOTROPIC AND ANISOTROPIC COMPOSITE

The first-principle approach for calculating the D. C. conductivities of the composites is discussed systematically. The integral equation for determining the effective conductivities of the composites with local anisotropic componentes is derived, and a convenient method for calculating effective conductivity tensor is proposed. We have dealt with effective conductivity tensor of the composites with local anisotropic components. A theoretical method which can treat the more common composites with no periodicity is developed. A new approximate method for solving integral equation by means of expansion with two bases is also proposed, by which we can calculate composites with large porosity and complicate structure with high precision, and it could have the advantage of saving lot of computing time.