3RD-ORDER BOUNDS ON THE CONDUCTIVITY OF A RANDOM STACKING OF CUBES

Authors
HELSING J
Citation
J. Helsing, 3RD-ORDER BOUNDS ON THE CONDUCTIVITY OF A RANDOM STACKING OF CUBES, Journal of mathematical physics, 35(4), 1994, pp. 1688-1692
Citations number
24
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
4
Year of publication
1994
Pages
1688 - 1692
Database
ISI
SICI code
0022-2488(1994)35:4<1688:3BOTCO>2.0.ZU;2-Y
Abstract
Third-order bounds on the conductivity of a random stacking of cubes a re constructed. Since a random stacking of cubes is a symmetric cell m aterial the bounds are determined by a Miller parameter G [J. Math. Ph ys. 10, 1988 (1969)] that is independent of volume fractions. This par ameter is evaluated with a boundary integral technique to G=0.13751642 93203.