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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 217–237
(Mi znsl1178)
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This article is cited in 5 scientific papers (total 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.
Received: 11.11.1999
Citation:
L. A. Molotkov, “About the sources acting on the free boundary of porous Biot medium and about reflection on this boundary”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 217–237; J. Math. Sci. (New York), 111:5 (2002), 3750–3762
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https://www.mathnet.ru/eng/znsl1178 https://www.mathnet.ru/eng/znsl/v264/p217
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Abstract page: | 176 | Full-text PDF : | 60 |
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