 | | 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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| A.A. Bakhodirov and K.S. Sultanov, "Waves in a Viscoelastic Bar Surrounded by Soils under Smooth Loading," Mech. Solids. 49 (3), 349-359 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
3 |
Pages |
349-359 |
| DOI |
10.3103/S002565441403011X |
| Title |
Waves in a Viscoelastic Bar Surrounded by Soils under Smooth Loading |
| Author(s) |
A.A. Bakhodirov (Urazbaev Institute of Mechanics and Seismic Stability of Structures, Academy of Sciences of the Republic of Uzbekistan, ul. Durmon Yuli 31, Akademgorodok, Tashkent, 100125 Republic of Uzbekistan)
K.S. Sultanov (Urazbaev Institute of Mechanics and Seismic Stability of Structures, Academy of Sciences of the Republic of Uzbekistan, ul. Durmon Yuli 31, Akademgorodok, Tashkent, 100125 Republic of Uzbekistan, sultanov.karim@mail.ru) |
| Abstract |
The results of numerical solution of the nonstationary wave problem of longitudinal wave propagation in the bar-soil system are given. The bar material and the soil are assumed to be linearly viscoelastic (standard linear body). A nonlinear interaction condition is satisfied on the bar-soil contact boundary. The laws of propagation of longitudinal waves and variations in the longitudinal stresses in the bar are determined depending on the mechanical characteristics of the soil and the bar and on the interaction parameters. |
| Keywords |
bar, soil, friction, method of characteristics, numerical solution, boundary of contact |
| References |
| 1. | L. V. Nikitin,
Statics and Dynamics of Solids with External Dry Friction
(Mosk. Litsei, Moscow, 1998)
[in Russian]. |
| 2. | V. V. Viktorov, R. R. Karabaev, L. V. Nikitin, and A. Kh. Khamraev,
"Experimental Verification of Dry Friction Law for Wave Propagation in a Pressed Bar,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 3, 165-171 (1988)
[Mech. Solids (Engl. Transl.)]. |
| 3. | P. A. Veklich and B. M. Malyshev,
"Wave Propagation in Elastic Rods Sitting in a Medium with Dry Friction,"
in Problems of Solid Mechanics
(MGU, Moscow, 1985),
pp. 64-99
[in Russian]. |
| 4. | I. S. Nikitin,
"Averaged Equations of Layered Medium with Nonlinear Interaction Conditions
on the Boundaries of Contact,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 5, 80-86 (1988)
[Mech. Solids (Engl. Transl.)]. |
| 5. | K. S. Sultanov,
"Mathematical Model of Interaction of Solid Bodies with Soil upon Their Relative Displacement,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
No. 1, 40-48 (1993)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
34 (), 37-44 (1993)]. |
| 6. | K. S. Sultanov,
"Laws Governing the Interaction of Underground Structures with Soil during Their Relative Displacement,"
Prikl. Mekh.,
No. 3, 60-67 (1993)
[Int. Appl. Mech. (Engl. Transl.)
29 (3), 217-223 (1993)]. |
| 7. | K. S. Sultanov,
"Numerical Solution of the Problem of Wave Propagation in a Viscoelastic Rod with External Friction,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 6, 92-101 (1991)
[Mech. Solids (Engl. Transl.)]. |
| 8. | K. S. Sultanov,
"Waves in Pressed Bar in Motion of the Pressing Body,"
Izv. Akad. Nauk, Mekh. Tverd. Tela, No. 5, 123-133 (1995)
[Mech. Solids (Engl. Transl.)]. |
| 9. | K. S. Sultanov,
"A Non-Linear Law of the Deformation of Soft Soils,"
Prikl. Mat. Mekh.
62 (3), 503-511 (1998)
[J. Appl. Math. Mech. (Engl. Transl.)
62 (3), 465-472 (1998)]. |
| 10. | V. N. Kukudzhanov,
Computational Mechanics of Continua
(Fizmatlit, Moscow, 2008)
[in Russian]. |
| 11. | G. M. Lyakhov,
Waves in Soils and Porous Multicomponent Media
(Nauka, Moscow, 1982)
[in Russian]. |
|
| Received |
17 July 2012 |
| Link to Fulltext |
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