Title

On The Integral Representation Formula For A Two-Component Elastic Composite

Keywords

Effective elasticity tensor; Integral representation formula; Microstructure

Abstract

The aim of this paper is to derive, in the Hilbert space setting, an integral representation formula for the effective elasticity tensor for a two-component composite of elastic materials, not necessarily well-ordered. This integral representation formula implies a relation which links the effective elastic moduli to the N-point correlation functions of the microstructure. Such relation not only facilitates a powerful scheme for systematic incorporation of microstructural information into bounds on the effective elastic moduli but also provides a theoretical foundation for inverse-homogenization. The analysis presented in this paper can be generalized to an n-component composite of elastic materials. The relations developed here can be applied to the inverse-homogenization for a special class of linear viscoelastic composites. The results will be presented in another paper. Copyright © 2005 John Wiley & Sons, Ltd.

Publication Date

4-1-2006

Publication Title

Mathematical Methods in the Applied Sciences

Volume

29

Issue

6

Number of Pages

655-664

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/mma.703

Socpus ID

33645299554 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33645299554

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