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Bounds on the effective tensor and the structural parameters for anisotropic two-phase composite material

Engström, Christian LU (2005) In Journal of Physics D: Applied Physics 38(19). p.3695-3702
Abstract
This paper is concerned with the estimation of macroscopic properties such as the permittivity or the thermal conductivity of a composite material from the microstructure. A new method of estimating the microstructural parameters, such as the volume fraction of anisotropic two-phase composite material, is derived. The parameters are estimated using information from measurements of the random material or, in the periodic case, from numerical experiments. The method is used to derive new bounds on the effective tensor that incorporates information from measurements of a related parameter. These new bounds are called cross-property bounds. New tight bounds on low-order microstructural parameters are given in the anisotropic case.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Physics D: Applied Physics
volume
38
issue
19
pages
3695 - 3702
publisher
IOP Publishing
external identifiers
  • wos:000233026800020
  • scopus:25144437035
ISSN
1361-6463
DOI
10.1088/0022-3727/38/19/019
language
English
LU publication?
yes
id
c15acad4-360b-4c1c-9fa1-e3df33de42bf (old id 144377)
date added to LUP
2007-06-28 09:53:58
date last changed
2017-01-22 04:05:00
@article{c15acad4-360b-4c1c-9fa1-e3df33de42bf,
  abstract     = {This paper is concerned with the estimation of macroscopic properties such as the permittivity or the thermal conductivity of a composite material from the microstructure. A new method of estimating the microstructural parameters, such as the volume fraction of anisotropic two-phase composite material, is derived. The parameters are estimated using information from measurements of the random material or, in the periodic case, from numerical experiments. The method is used to derive new bounds on the effective tensor that incorporates information from measurements of a related parameter. These new bounds are called cross-property bounds. New tight bounds on low-order microstructural parameters are given in the anisotropic case.},
  author       = {Engström, Christian},
  issn         = {1361-6463},
  language     = {eng},
  number       = {19},
  pages        = {3695--3702},
  publisher    = {IOP Publishing},
  series       = {Journal of Physics D: Applied Physics},
  title        = {Bounds on the effective tensor and the structural parameters for anisotropic two-phase composite material},
  url          = {http://dx.doi.org/10.1088/0022-3727/38/19/019},
  volume       = {38},
  year         = {2005},
}