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.
| Original language | English |
|---|---|
| Pages (from-to) | 666-679 |
| Number of pages | 14 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 68 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2007 |
| Externally published | Yes |
Subject classification (UKÄ)
- Composite Science and Engineering
Free keywords
- Effective permittivity
- Inverse bounds
- Padé approximants
- Stieltjes series