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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 275, Pages 140–164 (Mi znsl1398)

This article is cited in 4 papers

The effective model of porous block medium with slide contact on interfaces

L. A. Molotkov

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

Abstract: The medium under consideration consists of equal rectangle cells. The every cell contains four rectangle porous blocks with slide contact on interfaces between blocks. For this medium the effective model is established. This effective model is described by thirteen equations, is five-phase, and consists of four elastic phases and one fluid phase. In this model five waves propagate. The fronts of three waves are convex but two waves have concave fronts. The velocities of the waves along the axes are roots of equations which are derived in the paper.

UDC: 550.34

Received: 20.01.2001


 English version:
Journal of Mathematical Sciences (New York), 2003, 117:2, 3968–3981

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