4TH-ORDER BOUNDS ON THE EFFECTIVE CONDUCTIVITY FOR A SYSTEM OF FULLY PENETRABLE SPHERES

Authors
HELTE A
Citation
A. Helte, 4TH-ORDER BOUNDS ON THE EFFECTIVE CONDUCTIVITY FOR A SYSTEM OF FULLY PENETRABLE SPHERES, Proceedings - Royal Society. Mathematical and physical sciences, 445(1923), 1994, pp. 247-256
Citations number
17
Categorie Soggetti
Multidisciplinary Sciences",Physics
Journal title
Proceedings - Royal Society. Mathematical and physical sciences → ACNP
ISSN journal
09628444
Volume
445
Issue
1923
Year of publication
1994
Pages
247 - 256
Database
ISI
SICI code
0962-8444(1994)445:1923<247:4BOTEC>2.0.ZU;2-U
Abstract
An expression for the intersection volume of four equi-sized spheres i s derived. This expression is used to construct the four-point correla tion function for a system of fully penetrable spheres dispersed in a matrix. The knowledge of this four-point correlation function enables us to numerically calculate the microstructural parameter Bdouble dagg er, that appears in the fourth-order bounds on the effective conductiv ity due to Phan-Thien & Milton (Proc. R. Soc. Land. A 380, 333 (1982)) .