Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 4, pp. 977-1001 (1999)
Acoustics of a Stratified Poroelastic Composite
R. P. Gilbert and A. PanchenkoBoth authors: University of Delaware, Dept. Math. Sci., Newark, DE 19716, U.S.A.
Abstract: In this paper we discuss the acoustic boundary layer problem for a poroelastic seabed abutting onto a liquid half space. The problem is addressed using the method of homogenization where the microscopic equations are modelled after Burridge and Keller , Levy , and Panasenko . A difference in our approach is that we do not consider the viscosity coefficients to be dependent on the pore size. To achieve continuity of displacement and stress at the interface to an arbitrary asymptotic order, we introduce correctors of two different types on each side. Then correctors of different types are matched across the interface.
Keywords: homogenization, asymptotic expansions, boundary layers, composite materials
Classification (MSC2000): 74Q10, 35Q35
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