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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 257, Pages 184–206 (Mi znsl998)

This article is cited in 2 papers

On the effective model of porous stratified media with slide contact between layers

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: In order to study wave propagation in porous layered media with slide contact between elastic phases on the interfaces the effective models of these media are investigated. For these models the fronts of four waves excited by a point sources are established and formulas of wave velocities along the axes are derived. The applied methods of constructing fronts allow to point out the possible pecularities as loops and juts. The essential case, when all layers are the same but the boundary conditions remain, is also considered.

UDC: 550.34

Received: 19.10.1998


 English version:
Journal of Mathematical Sciences (New York), 2002, 108:5, 772–789

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