Yi Y B
Department of Engineering, University of Denver, Denver, Colorodo 80208, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74(3 Pt 1):031112. doi: 10.1103/PhysRevE.74.031112. Epub 2006 Sep 13.
The void percolation and conduction problems for equisized overlapping ellipsoids of revolution are investigated using the discretization method. The method is validated by comparing the estimated percolation threshold of spheres with the precise result found in literature. The technique is then extended to determine the threshold of void percolation as a function of the geometric aspect ratio of ellipsoidal particles. The finite element method is also applied to evaluate the equivalent conductivity of the void phase in the system. The results confirm that there are no universalities for void percolation threshold and conductivity in particulate systems, and these properties are clearly dependent on the geometrical shape of particles. As a consequence, void percolation and conduction associated with ellipsoidal particles of large aspect ratio should be treated differently from spheres.
采用离散化方法研究了等尺寸重叠旋转椭球体的孔隙渗流和传导问题。通过将估计的球体渗流阈值与文献中得到的精确结果进行比较，验证了该方法的有效性。然后将该技术扩展到确定孔隙渗流阈值作为椭球形颗粒几何纵横比的函数。还应用有限元方法评估了系统中孔隙相的等效电导率。结果证实，颗粒系统中的孔隙渗流阈值和电导率不存在通用性，这些性质明显取决于颗粒的几何形状。因此，与大纵横比椭球形颗粒相关的孔隙渗流和传导应与球体区别对待。
