Title
Inverse Bounds of Two-Component Composites
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.
Year
DOI
Venue
2007
10.1137/070683039
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
effective permittivity,inverse bounds,Stieltjes series,Pade approximants
Volume fraction,Inverse,Isotropy,Permittivity,Mathematical optimization,Composite material,Mathematical analysis,Mathematics,Riemann–Stieltjes integral
Journal
Volume
Issue
ISSN
68
3
0036-1399
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Christian Engström1134.97