Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Inverse bounds of two-component composites

Engström, Christian LU (2007) In SIAM Journal on Applied Mathematics 68(3). p.666-679
Abstract

A method is presented for estimating microstructural parameters from permittivity measurements of two-component composites. This structural information is described by a particular positive measure in the Stieltjes integral representation of the effective permittivity. The dependence on the geometrical structure can be reduced to the problem of calculating the moments of the measure. We present a method that uses measurement data at a set of distinct frequencies or temperatures to calculate bounds on several moments. These inverse bounds are improved when the volume fraction is known or the material is isotropic. Composites with known geometrical structure illustrate the method.

Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Effective permittivity, Inverse bounds, Padé approximants, Stieltjes series
in
SIAM Journal on Applied Mathematics
volume
68
issue
3
pages
14 pages
publisher
Society for Industrial and Applied Mathematics
external identifiers
  • scopus:47149085800
ISSN
0036-1399
DOI
10.1137/070683039
language
English
LU publication?
no
id
9b42cbb7-9a1e-438c-9527-0978115ec5be
date added to LUP
2023-03-24 11:28:32
date last changed
2023-03-24 14:20:42
@article{9b42cbb7-9a1e-438c-9527-0978115ec5be,
  abstract     = {{<p>A method is presented for estimating microstructural parameters from permittivity measurements of two-component composites. This structural information is described by a particular positive measure in the Stieltjes integral representation of the effective permittivity. The dependence on the geometrical structure can be reduced to the problem of calculating the moments of the measure. We present a method that uses measurement data at a set of distinct frequencies or temperatures to calculate bounds on several moments. These inverse bounds are improved when the volume fraction is known or the material is isotropic. Composites with known geometrical structure illustrate the method.</p>}},
  author       = {{Engström, Christian}},
  issn         = {{0036-1399}},
  keywords     = {{Effective permittivity; Inverse bounds; Padé approximants; Stieltjes series}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{666--679}},
  publisher    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Applied Mathematics}},
  title        = {{Inverse bounds of two-component composites}},
  url          = {{http://dx.doi.org/10.1137/070683039}},
  doi          = {{10.1137/070683039}},
  volume       = {{68}},
  year         = {{2007}},
}