Acoustic Wave Propagation in a Composite of Two Different Poroelastic Materials with a Very Rough Periodic Interface: a Homogenization Approach

    Authors

    R. P. Gilbert;M. J. Ou

    Abbreviated Journal Title

    Int. J. Multiscale Comput. Eng.

    Keywords

    homogenization; poroelasticity; rough interface; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

    Abstract

    Homogenization is used to analyze the system of Biot-type partial differential equations in a domain of two different poroelastic materials with a very rough periodic interface. It is shown that by using homogenization, such a rough interface can be replaced by an equivalent fiat layer within which a system of modified differential equations holds. The coefficients of this new system of equations are certain "effective" parameters. These coefficients are determined by solutions of the auxiliary problems which involve the detailed structure of the interface. In this paper the auxiliary problems are derived and the homogenized system of equations is given.

    Journal Title

    International Journal for Multiscale Computational Engineering

    Volume

    1

    Issue/Number

    4

    Publication Date

    1-1-2003

    Document Type

    Article

    Language

    English

    First Page

    431

    Last Page

    440

    WOS Identifier

    WOS:000208552900008

    ISSN

    1543-1649

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