 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| T. I. Maslikova and V. S. Polenov, "On the unsteady elastic waves in porous materials," Mech. Solids. 36 (6), 87-90 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
6 |
Pages |
87-90 |
| Title |
On the unsteady elastic waves in porous materials |
| Author(s) |
T. I. Maslikova (Moscow)
V. S. Polenov (Moscow) |
| Abstract |
The dynamic deformation of a porous medium has been studied in a number of
papers where the stress-strain relations are equivalent to similar relations
used by M. A. Biot [1]. However, the basic problem for the dynamic behavior
of such a medium cannot be considered to have been finally solved and needs
further study. Therefore, it is of interest to consider the propagation of
unsteady elastic waves in an infinite homogeneous elastic porous medium.
The presence and degree of porosity of solids are taken into account by the
porosity coefficient m defined as the ratio of the volume of pores to the
total volume occupied by the medium. The application of the mathematical
theory of discontinuities [2, 3] to the basic relations shows that there
are two longitudinal waves and one transverse wave propagating in the
porous medium. Differential equations are obtained which define the
variation of the intensities of the longitudinal and transverse waves
during their propagation. |
| References |
| 1. | M. A. Biot, "Theory of Propagation of Elastic Waves in a
Fluid-Saturated Solid," J. Acoust. Soc., Vol. 28, No. 1, pp. 27-32, 1956. |
| 2. | T. Thomas, Plastic Flow and Fracture of Solids [Russian
translation], Mir, Moscow, 1964. |
| 3. | Ya. I. Frenkel', "On the theory of seismic and seismoelectric
phenomena in a wet soil," Izv. AN SSSR. Ser. Geogr. Geofiz., Vol. 8,
No. 4, pp. 82-90, 1944. |
| 4. | L. Ya. Kosachevskii, "On the propagation of elastic waves in
two-component media," PMM [Applied Mathematics and Mechanics], Vol. 23,
No. 6, pp. 1115-1123, 1959. |
|
| Received |
02 February 1999 |
| << Previous article | Volume 36, Issue 6 / 2001 | Next article >> |
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