摘要
应用有效介质理论(EMT)处理了各向异性多相复合介质的导电性。用含有各向异性因子m的分布函数(14),估计悬浮颗粒取向分布的无序性,从而导出了可计算含轴旋转对称椭球形颗粒的无序非均匀系统的纵向和横向电导率的公式。应用所得结果,分别讨论了两相浓度、电导率比、各向异性因子和悬浮颗粒几何形状(圆球形、长纤维状和扁圆盘状)等微结构因素对有效电导率的影响。文中还着重讨论了当S^2→∞时系统中可能出现的渗流现象,给出了各种形状颗粒复合材料的渗流阈值,并作了讨论。
In this paper the electrical conduction of an anisotropic andmultiphase-composite medium has been treated by using the EffectiveMedium Theory (EMT). In order to estimate the stochastic distribution inorientation of inclusions suspended on the background phase, a distributionfunction (14) with an anisotropic factor m is suggested and from it theformulas for calculating the parallel and transverse electrical conductivitiesof an inhomogeneous disordered system involving elliptic inclusions witha symmetric rotation axis is derived. Using the obtained results, we havediscussed the dependencies of effective electric conductivity upon the micro-structures, such as concentrations, conductance ratio, anisotropy factor andgeometry shapes of the inclusion (spherical, prolate elliptical or oblatc ellip-tical). The possible percolation phenomenon in the case of S^2→∞ has beendiscussed especially and the values of percolation threshold are given forinclusions of different shapes in the composite materials.
出处
《宇航材料工艺》
CAS
CSCD
北大核心
1993年第2期22-30,共9页
Aerospace Materials & Technology
基金
国家自然科学基金
