Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501628 | Journal of Differential Equations | 2005 | 28 Pages |
Abstract
In this paper, we present a systematic scheme for derivations of asymptotic expansions including higher-order terms, with estimates, of the effective electrical conductivity of periodic dilute composites in terms of the volume fraction occupied by the inclusions. The conductivities of the inclusion and the matrix may be anisotropic. Our derivations are based on layer potential techniques, and valid for high contrast mixtures and inclusions with Lipschitz boundaries. The asymptotic expansion is given in terms of the polarization tensor and the volume fraction of the inclusions. Important properties, such as symmetry and positivity, of the anisotropic polarization tensors are derived.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim,