On Burnett coefficients in periodic media in low contrast regime

Conca, C. ; San Martín, J. ; Vanninathan, M. ; Smaranda, L. (2008) On Burnett coefficients in periodic media in low contrast regime Journal of Mathematical Physics, 49 (5). 053514_1-053514_23. ISSN 0022-2488

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Official URL: http://jmp.aip.org/resource/1/jmapaq/v49/i5/p05351...

Related URL: http://dx.doi.org/10.1063/1.2919066

Abstract

In this work, we consider low contrast periodic media and we study the dependence of the effective or homogenized tensor and the dispersion tensor in terms of the microstructure. We treat both one-dimensional structures and some laminated structures in higher dimension. Interesting properties of the sign of these coefficients are found. Surprisingly, these depend on the microstructure only through the local proportion parameter, and in some cases, they do not depend on the microstructure at all.

Item Type:Article
Source:Copyright of this article belongs to American Institute of Physics.
Keywords:Acoustic Dispersion; Acoustic Wave Propagation; Crystal Microstructure; Laminates; Tensors
ID Code:55457
Deposited On:18 Aug 2011 07:10
Last Modified:18 Aug 2011 07:10

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