On the integral representation formula for a two-component elastic composite

    Authors

    M. J. Ou;E. Cherkaev

    Comments

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    Abbreviated Journal Title

    Math. Meth. Appl. Sci.

    Keywords

    effective elasticity tensor; microstructure; integral representation; formula; BOUNDS; Mathematics, Applied

    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 it-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 (c) 2005 John Wiley & Sons, Ltd.

    Journal Title

    Mathematical Methods in the Applied Sciences

    Volume

    29

    Issue/Number

    6

    Publication Date

    1-1-2006

    Document Type

    Article

    Language

    English

    First Page

    655

    Last Page

    664

    WOS Identifier

    WOS:000236513700003

    ISSN

    0170-4214

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