On the Determination of the Threshold Content of Fibrous Nanomodifier

摘要

Currently, numerous specific methods directed to the improvement of the building materials are developed. Many of such methods are intrinsically the implementations of the nanotechnology; the random reinforcement by nanoscale fibers is a well known way for the enhancement of operational properties. The later can be achieved if the fibers form the continuous percolation lattice. In the present work we have offered the simple algorithm for the assessment of the threshold content of fibers that correspond to the formation of such lattice. The algorithm couples simple geometry-based stochastic modeling with the regression analysis. Several numerical experiments are carried out; it is shown that for high aspect ratios (about 10~2) the percolation lattice can be formed even if the volumetric ratio of the fibers is relatively small (less than 1%).