ITEMS

modern scholarly publishers in the finest tradition

Journals

	Search

International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2003, Volume1

144 pages

DOI: 10.1615/IntJMultCompEng.v1.i4

Issue price - $178.00

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

Robert P. Gilbert
Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, U.S.A.

Miao-jung Ou
Department of Mathematics, University of Central Florida, Orlando, FL 32817, U.S.A.

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 flat 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.