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Inverse bounds of two-component composites
Karlsruhe Institut of Technology, Insitute for Applied and Numerical Mathematics .
2007 (English)In: SIAM Journal on Applied Mathematics, ISSN 0036-1399, E-ISSN 1095-712X, Vol. 68, no 3, 666-679 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 68, no 3, 666-679 p.
Keyword [en]
effective permittivity, inverse bounds, Stieltjes series, Padé approximants
National Category
URN: urn:nbn:se:umu:diva-51429DOI: 10.1137/070683039OAI: diva2:481863
Available from: 2012-01-23 Created: 2012-01-23 Last updated: 2012-02-24Bibliographically approved

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Engström, Christian
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