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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2000 Volume 264, Pages 217–237 (Mi znsl1178)

This article is cited in 5 papers

About the sources acting on the free boundary of porous Biot medium and about reflection on this boundary

L. A. Molotkov

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

Abstract: A homogeneous isotropic porous Biot half-space $z\ge0$ with free boundary $z=0$ is considered. This half-space is excited by the point sources situated on the boundary $z=0$ and applied to the elastic phase. Four sources: 1) Normal force, 2) Center of tangential forces, 3) Center of rotation, and 4) Tangential force are considered. For all sources the wave fields are established. The relation between the wave fields in the porous medium and the corresponding wave fields in the elastic medium is investigated. The reflection coefficients on the free boundary of the porous Biot half-space are defined and studied.

UDC: 550.34

Received: 11.11.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 111:5, 3750–3762

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