Title
Inverse Bounds and Bulk Properties of Complex-Valued Two-Component Composites
Abstract
The bulk properties of composites are known to depend strongly on the microstructure. This dependence can be quantified in terms of a representation introduced by D. Bergman, which factorizes the geometry dependence from the contrast. Based on this analytic representation of the effective permittivity, we present a general scheme to estimate the microstructural parameters such as the volume fraction and the anisotropy of two-component composites. The estimates are given as bounds, that is, the largest parameter region which is compatible with the available information. Thus, more information produces better estimates on the microstructural parameters. The method, which uses complex-valued measurements of bulk properties of the composite, is illustrated by numerical examples.
Year
DOI
Venue
2006
10.1137/060649598
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
composite,inverse bounds,inverse homogenization,Stieltjes integral,Pade approximations
Inverse,Mathematical analysis,Materials science
Journal
Volume
Issue
ISSN
67
1
0036-1399
Citations 
PageRank 
References 
1
0.48
1
Authors
1
Name
Order
Citations
PageRank
Christian Engström1134.97