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Detalhes Referência

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Bounds for non-periodic mixtures of infinitely many materials

Participantes na publicação
C. BARBAROSIE (Author)
Dep. Matemática
 CMAFcIO
 ANCA-MARIA TOADER (Author)
Dep. Matemática
 CMAFcIO
Resumo
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.

Data de Publicação
2005

Suporte
MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Identificadores da Publicação
ISSN - 0170-4214

Volume
28
Fascículo
9

Página Inicial
1089
Página Final
1114

Identificadores do Documento
DOI - https://doi.org/10.1002/mma.604

Keywords
homogenization composite materials optimal bounds Young measures


Exportar referência

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 .

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. https://doi.org/10.1002/mma.604

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 }