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Summary: Eective Parameters of Elastic Composites
Habib Ammari
Centre de Mathematiques Appliquees
Ecole Polytechnique
91128 Palaiseau Cedex, France
ammari@cmapx.polytechnique.fr
Hyeonbae Kang
School of Mathematical Sciences
Seoul National University
Seoul 151-747, Korea
hkang@math.snu.ac.kr
Mikyoung Lim y
Centre de Mathematiques Appliquees
Ecole Polytechnique
91128 Palaiseau Cedex, France
mklim@cmapx.polytechnique.fr
Abstract
In this paper we present a simple and rigorous scheme for the derivation of accurate
asymptotic expansions of the eective elastic parameters of periodic dilute two-phase
composites in terms of the elastic moment tensor and the volume fraction occupied
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