 | | 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 |
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| A.V. Shekoyan, "Waves in a Solid Medium with Liquid-Filled Pores," Mech. Solids. 46 (5), 788-797 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
5 |
Pages |
788-797 |
| DOI |
10.3103/S002565441105013X |
| Title |
Waves in a Solid Medium with Liquid-Filled Pores |
| Author(s) |
A.V. Shekoyan (Institute of Mechanics, National Academy of Sciences of Republic of Armenia, Marshal Baghramian ave., 24B, Erevan, 375019 Republic of Armenia, ashotshek@mechins.sci.am) |
| Abstract |
The dynamic nonlinear theory of deformation of a two-phase medium, a solid with pores filled with a liquid, is developed. The variational principle is used to derive nonlinear equations that take into account the motions of the solid and liquid phases and the porosity variations. All types of nonlinearity, including nonlinear friction, are also taken into account. Formulas for the velocities of the linear and nonlinear waves and the absorption coefficient are derived. The one- and three-dimensional cases are considered. In the three-dimensional case, an equation describing the wave profile evolution is obtained as well as a nonlinear Schrödinger equation. Their solutions are analyzed; soliton-type solutions and solutions for narrow beams are obtained. |
| Keywords |
wave, two-phase medium, nonlinearity, solid body, liquid, evolution equation, modulation equation |
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|
| Received |
31 March 2009 |
| Link to Fulltext |
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