Inverse bounds of two-component composites
(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.
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https://lup.lub.lu.se/record/9b42cbb7-9a1e-438c-9527-0978115ec5be
- author
- Engström, Christian LU
- publishing date
- 2007
- 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}}, }