Percolative properties of hard oblate ellipsoids of revolution with a soft shell
We present an in-depth analysis of the geometrical percolation behavior in the continuum of random assemblies of hard oblate ellipsoids of revolution. Simulations were carried out by considering a broad range of aspect-ratios, from spheres up to aspect-ratio 100 plate-like objects, and with various limiting two particle interaction distances, from 0.05 times the major axis up to 4.0 times the major axis. We conﬁrm the widely reported trend of a consistent lowering of the hard particle critical volume fraction with the increase of the aspect-ratio. Moreover, assimilating the limiting interaction distance to a shell of constant thickness surrounding the ellipsoids, we propose a simple relation based on the total excluded volume of these objects which allows to estimate the critical concentration from a quantity which is quasi-invariant over a large spectrum of limiting interaction distances. Excluded volume and volume quantities are derived explicitly.
Keywords: couches épaisses ; résistances polymère graphite ; carbone ; simulations ; percolation ; ellipsoïdes de révolution ; ellipsoids of revolution ; couche pénétrable ; penetrable layer ; soft shell ; oblates ; galettes ; plaquettes ; platelets ; flakes ; interaction distance
Record created on 2009-09-13, modified on 2016-08-08