Percolation in a Thin Ply Of Unidirectional Composite
- 1 January 1979
- journal article
- Published by SAGE Publications in Journal of Composite Materials
- Vol. 13 (1) , 72-78
- https://doi.org/10.1177/002199837901300106
Abstract
A unidirectional composite is modeled as a two-dimensional cartesian square lattice of infinite width and finite thickness. Circular fiber cross sections, each contained completely within a lattice square and touching on all four sides, are placed at random within the lattice according to the fiber volume fraction. Percolation, in this system, is shown to be very sensitive to the lattice thickness. To be regarded as infinitely thick a lattice must be at least 150 fiber diameters across, and for a typical ply thickness of 20 fiber diameters the critical fiber fraction for percolation is shifted by 26% from the infinite lattice value of 0.46 to a smaller value of 0.34.Keywords
This publication has 9 references indexed in Scilit:
- Critical exponents for the conductivity of random resistor latticesPhysical Review B, 1977
- Size dependence of the percolation threshold of square and triangular networkJournal de Physique Lettres, 1976
- Percolation and ConductionReviews of Modern Physics, 1973
- An introduction to percolation theoryAdvances in Physics, 1971
- The Influence of Random Filament Packing on the Transverse Stiffness of Unidirectional CompositesJournal of Composite Materials, 1969
- Thermal Conductivities of Unidirectional MaterialsJournal of Composite Materials, 1967
- Critical Percolation Probabilities by Series MethodsPhysical Review B, 1964
- Percolation Processes and Related TopicsJournal of the Society for Industrial and Applied Mathematics, 1963
- Monte Carlo Estimates of Percolation Probabilities for Various LatticesPhysical Review B, 1962