| | 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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K.Yu. Osipenko, "Stability of Spatial Motion of a Body of Revolution in an Elastoplastic Medium," Mech. Solids. 47 (2), 212-220 (2012) |
Year |
2012 |
Volume |
47 |
Number |
2 |
Pages |
212-220 |
DOI |
10.3103/S0025654412020082 |
Title |
Stability of Spatial Motion of a Body of Revolution in an Elastoplastic Medium |
Author(s) |
K.Yu. Osipenko (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, kirill-o@mail.ru) |
Abstract |
A previously constructed model that describes the spatial motion of a body of revolution in an elastoplastic medium (without flow separation and with nonsymmetric separation of the medium flow taken into account) is used to study the Lyapunov stability of rectilinear motion of a body in the case of frozen axial velocity on a half-infinite time interval. Some stability criteria are obtained and the influence of tangential stresses is analyzed. |
Keywords |
penetration, elastoplastic medium, trajectory of motion, flow separation, stability |
References |
1. | A. I. Bunimovich and A. V. Dubinskii,
"Development, Current State of the Art, and Applications
of Local Interaction Theory. Review,"
Izv. Akad. Nauk. Mekh. Zhidk. Gaza,
No. 3, 3-18 (1996)
[Fluid. Dyn. (Engl. Transl.)
31 (3), 339-349 (1996)]. |
2. | R. N. Miroshin and I. A. Khalidov,
Local Methods in Continuum Mechanics
(Izd-vo St. Peterburg Univ., St. Peterburg, 2002)
[in Russian]. |
3. | A. I. Bunimovich and G. E. Yakunina,
"The Shapes of Three-Dimensional Minimum-Resistance Bodies Moving
in Compressible Plastic and Elastic Media,"
Vestnik Moskov. Univ. Ser. I. Mat. Mekh.,
No. 3, 105-107 (1987).
[Moscow Univ. Math. Bull. (Engl. Transl.)
42 (3), 59-62 (1987)]. |
4. | L. M. Flitman, "Subsonic Axisymmetric Elastoplastic Flow around
Thin Pointed Bodies of Revolution," Izv. Akad. Nauk SSSR. Mekh.
Tverd. Tela, No. 4, 155-164 (1991) [Mech. Solids (Engl. Transl.)]. |
5. | L. M. Flitman, "Separation-Free Flow around a Blunt Body by a
High-Velocity Elastic-Plastic Flow," Prikl. Mat. Mekh. 54
(4), 642-651 (1990) [J. Appl. Math. Mech. (Engl. Transl.)
54 (4), 531-538 (1990)]. |
6. | Yu. K. Bivin, V. A. Kolesnikov, and L. M. Flitman, "Determination
of the Mechanical Properties of a Medium by the Dynamic Penetration
Method," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 5, 181-184
(1982) [Mech. Solids (Engl. Transl.) 17 (5), 180-183
(1982)]. |
7. | K. Yu. Osipenko,
"Penetration of a Body of Revolution into an Elastoplastic Medium,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 169-180 (2009)
[Mech. Solids (Engl. Transl.)
44 (2), 311-321 (2009)]. |
8. | K. Yu. Osipenko and I. V. Simonov,
"A Model of 3D Dynamics of a Body of Revolution Interacting
with Low-Strength Media and Nonsymmetric Cavitation,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 143-153 (2002)
[Mech. Solids (Engl. Transl.)
37 (1), 119-128 (2002)]. |
9. | I. V. Simonov,
"The Stability of Motion of an Elongated Rigid Body
of Revolution in an Elastoplastic Medium with Flow Separation,"
Prikl. Mat. Mekh.
64 (2), 311-320 (2000)
[J. Appl. Math. Mech. (Engl. Transl.)
64 (2), 299-307 (2000)]. |
10. | I. V. Roisman, A. L. Yarin, and M. V. Rubin, "Oblique Penetration
of a Rigid Projectile into an Elastic-Plastic Target," Int. J.
Impact Engng. 19 (9-10), 769-795 (1997). |
11. | Yu. K. Bivin, V. V. Viktorov, and B. Ya. Kovalenko, "Determining
the Soil Dynamical Characteristics by the Penetration Method,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 105-110 (1980)
[Mech. Solids (Engl. Transl.)]. |
12. | L. G. Loitsyanskii and A. I. Lurie,
A Course of Theoretical Mechanics, Vol. 2
(Nauka, Moscow, 1983)
[in Russian]. |
|
Received |
19 February 2009 |
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