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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Bounds for non-periodic mixtures of infinitely many materials

Participants in the publication
C. BARBAROSIE (Author)
Dep. Matemática
 CMAFcIO
 ANCA-MARIA TOADER (Author)
Dep. Matemática
 CMAFcIO
Summary
We prove bounds on the homogenized coefficients for general non-periodic mixtures of an arbitrary number of isotropic materials, in the heat conduction framework. The component materials and their proportions are given through the Young measure associated to the sequence of coefficient functions. Upper and lower bounds inequalities are deduced in terms of algebraic relations between this Young measure and the eigenvalues of the H-limit matrix. The proofs employ arguments of compensated compactness and fine properties of Young measures. When restricted to the periodic case, we recover known bounds.

Date of Publication
2005

Where published
MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Publication Identifiers
ISSN - 0170-4214

Volume
28
Number
9

Starting page
1089
Last page
1114

Document Identifiers
URL - https://doi.org/10.1002/mma.604

Keywords
homogenization composite materials optimal bounds Young measures


Export

APA
C. BARBAROSIE, ANCA-MARIA TOADER, (2005). Bounds for non-periodic mixtures of infinitely many materials. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 28, 1089-1114. ISSN 0170-4214. eISSN . https://doi.org/10.1002/mma.604

IEEE
C. BARBAROSIE, ANCA-MARIA TOADER, "Bounds for non-periodic mixtures of infinitely many materials" in MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol. 28, pp. 1089-1114, 2005.

BIBTEX
@article{22029, author = {C. BARBAROSIE and ANCA-MARIA TOADER}, title = {Bounds for non-periodic mixtures of infinitely many materials}, journal = {MATHEMATICAL METHODS IN THE APPLIED SCIENCES}, year = 2005, pages = {1089-1114}, volume = 28 }