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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 2, Pages 34–40
(Mi vmumm55)
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This article is cited in 2 scientific papers (total in 2 papers)
Mechanics
A fluid-saturated porous medium under the action of a moving concentrated load
A. V. Zvyagin, K. P. Gur'ev Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The problem of motion of a point load along the surface of a fluid-saturated porous medium is studied for a subsonic range of speeds. An analytical solution is found. It is shown that there exists a critical speed equal to the speed of the Rayleigh-type surface waves in a porous elastic medium. If this critical speed is exceeded, then the behavior of the solution and the free surface shape are changed. The free surface shape is analyzed at different speeds.
Key words:
two-component medium, liquid-saturated porous medium, moving load, surface waves, subsonic motion.
Received: 27.01.2016
Citation:
A. V. Zvyagin, K. P. Gur'ev, “A fluid-saturated porous medium under the action of a moving concentrated load”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 2, 34–40; Moscow University Mechanics Bulletin, 72:2 (2017), 34–39
Linking options:
https://www.mathnet.ru/eng/vmumm55 https://www.mathnet.ru/eng/vmumm/y2017/i2/p34
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