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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 275, Pages 165–186 (Mi znsl1399)

This article is cited in 1 paper

The effective model of the layered medium in which porous and elastic layers being in slide contact alternate

L. A. Molotkov

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

Abstract: For the medium in which porous and elastic layers alternate with each other and there is slide contact on the interfaces, the effective model is established. This model is three-phase and contains two elastic phases and one fluid phase. The peculiarities of this effective model are that in it two waves with “triangular fronts” propagate and second (slow) longitudinal wave is absent. In partial case when thickness of elastic layers is very small but they remain as barries for fluid particles from the porous layers, the effective model becomes two-phase and one of “triangular fronts” disappears.

UDC: 550.34

Received: 23.11.2000


 English version:
Journal of Mathematical Sciences (New York), 2003, 117:2, 3982–3993

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