Permeability and conductivity of platelet-reinforced membranes and composites

Details Permeability and conductivity of platelet-reinforced membranes and composites Permeability and conductivity of platelet-reinforced membranes and composites

2001-08-08

arxiv.org/abs/cond-mat/0108145v1

Physics

Condensed Matter

Materials Science

RevTeX, 5 pages, 4 figures, submitted to PRL

Scientific paper

10.1103/PhysRevE.66.020802

We present large scale simulations of the diffusion constant $D$ of a random composite consisting of aligned platelets with aspect ratio $a/b>>1$ in a matrix (with diffusion constant $D_0$) and find that $D/D_0 = 1/(1+ c_1 x + c_2 x^2)$, where $x= a v_f/b$ and $v_f$ is the platelet volume fraction. We demonstrate that for large aspect ratio platelets the pair term ($x^2$) dominates suggesting large property enhancements for these materials. However a small amount of face-to-face ordering of the platelets markedly degrades the efficiency of platelet reinforcement.

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