ABSTRACT
The modeling at the nano level is an attempt to achieve a more precise description of the blend, even if it remains impossible to describe the exact geometry of each nano grain. The processing of heterogeneous materials was, from the beginning of human activity, the fruit of experiments transmitted as hand-turns or empiric expressions. One of the best ways of modeling heterogeneous materials respecting granulometry is to work at the level of nano grains. Mostly, during the investigation of materials and their properties, researchers are interested in calculating the main characteristics of these materials, such as porosity, permeability, and permittivity. The meshes used in finite element methods open the way to a new type of description, since they let absolutely no vacuum. The counterpart is that the meshes have an angular geometry as, for instance, triangles or tetrahedrons. The capillaries are obtained by homothetic reduction of the tetrahedrons centered on the mass center.
