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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Bounds for mixtures of an arbitrary number of materials

Participants in the publication
Cristian Barbarosie (Author)
Dep. Matemática
 CMAF
 CMAFcIO
Summary
This paper studies the problem of bounding the effective conductivity coefficients 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 already known, but we give simpler proofs.

Date of Publication
2001

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Mathematical Methods in the Applied Sciences

Publication Identifiers

Publisher
Wiley

Volume
24
Number
8

Number of pages
14
Starting page
529
Last page
542

Document Identifiers
DOI - https://doi.org/10.1002/mma.225
URL - http://dx.doi.org/10.1002/mma.225


Export

APA
Cristian Barbarosie, (2001). Bounds for mixtures of an arbitrary number of materials. Mathematical Methods in the Applied Sciences, 24, 529-542. http://dx.doi.org/10.1002/mma.225

IEEE
Cristian Barbarosie, "Bounds for mixtures of an arbitrary number of materials" in Mathematical Methods in the Applied Sciences, vol. 24, pp. 529-542, 2001. 10.1002/mma.225

BIBTEX
@article{57178, author = {Cristian Barbarosie}, title = {Bounds for mixtures of an arbitrary number of materials}, journal = {Mathematical Methods in the Applied Sciences}, year = 2001, pages = {529-542}, volume = 24 }