Geodesic
Wave propagation in an isolated porous Biot layer with closed pores on the boundaries
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 173-189 
L. A. Molotkov. Wave propagation in an isolated porous Biot layer with closed pores on the boundaries. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 173-189. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a8/
@article{ZNSL_2008_354_a8,
     author = {L. A. Molotkov},
     title = {Wave propagation in an isolated porous {Biot} layer with closed pores on the boundaries},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {173--189},
     year = {2008},
     volume = {354},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a8/}
}
TY  - JOUR
AU  - L. A. Molotkov
TI  - Wave propagation in an isolated porous Biot layer with closed pores on the boundaries
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2008
SP  - 173
EP  - 189
VL  - 354
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a8/
LA  - ru
ID  - ZNSL_2008_354_a8
ER  - 
%0 Journal Article
%A L. A. Molotkov
%T Wave propagation in an isolated porous Biot layer with closed pores on the boundaries
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 173-189
%V 354
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a8/
%G ru
%F ZNSL_2008_354_a8

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

On the boundaries of this isolated porous Biot layer, the total stresses and normal relative displacement are equal to zero. For this layer, the symmetric and antisymmetric dispersion equations are established and investigated. The wave field consists of normal waves. In this layer one bend wave, two plate waves, and infinitely many normal waves propagate. For all these waves, we determine by analytical methods dispersion curves. The velocities of the bend wave and of the second plate wave for the infinite frequency are equal to the Rayleigh velocity. Bibl. – 7 titles, fig. – 3.

[1] N. S. Smirnova, L. A. Molotkov, “Ob issledovanii antisimmetrichnykh kolebanii v uprugom sloe”, Vopr. dinam. teor. raspr. seism. voln, 9, Izd-vo LGU, L., 1968, 97–107

[2] L. A. Molotkov, U. Baimagambetov, N. S. Smirnova, “Ob issledovanii dispersionnykh uravnenii svobodnogo transversalno-izotropnogo sloya”, Zap. nauchn. semin. LOMI, 99, 1980, 85–103 | MR | Zbl

[3] L. A. Molotkov, “O rasprostranenii normalnykh voln v izolirovannom flyuidonasyschennom sloe Bio”, Zap. nauchn. semin. POMI, 257, 1999, 165–183 | MR | Zbl

[4] L. A. Molotkov, Issledovanie rasprostraneniya voln v poristykh i treschinovatykh sredakh na osnove effektivnykh modelei Bio i sloistykh sred, Nauka, S-Peterburg, 2001, 348 pp.

[5] M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. I: Low-frequency range”, J. Acoust. Soc. Amer., 28 (1956), 168–178 | DOI | MR

[6] M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. II: Higher frequency range”, J. Acoust. Soc. Amer., 28 (1956), 179–191 | DOI | MR

[7] L. A. Molotkov, “Effektivnaya model poristo-zhidkoi sredy”, Zap. nauchn. semin. POMI, 354, 2008, 190–211 | MR