Bounds for mixtures of an arbitrary number of materials

Authors
Barbarosie, C
Citation
C. Barbarosie, Bounds for mixtures of an arbitrary number of materials, MATH METH A, 24(8), 2001, pp. 529-542
Citations number
20
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
24
Issue
8
Year of publication
2001
Pages
529 - 542
Database
ISI
SICI code
0170-4214(20010525)24:8<529:BFMOAA>2.0.ZU;2-S
Abstract
This paper studies the problem of bounding the effective conductivity coeff icients of mixtures made of several materials, in given proportions. Lower and upper bounds are obtained, and the optimality of these bounds is proven under certain hypotheses. Also, necessary and sufficient conditions for a mixture to attain the bounds are described. Some of the results were alread y known, but we give simpler proofs. Copyright (C) 2001 John Wiley & Sons, Ltd.