Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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IssuesArchive of Issues2011-3pp.434-443

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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A.V. Zvyagin and G.A. Romashov, "Formation of Separation Zones in an Asymmetric Motion of a Body in an Elastic Medium," Mech. Solids. 46 (3), 434-443 (2011)
Year 2011 Volume 46 Number 3 Pages 434-443
DOI 10.3103/S0025654411030101
Title Formation of Separation Zones in an Asymmetric Motion of a Body in an Elastic Medium
Author(s) A.V. Zvyagin (Lomonosov Moscow State University, MGU 1, Vorob'evy Gory, GSP-1, Moscow, 119991 Russia)
G.A. Romashov (Lomonosov Moscow State University, MGU 1, Vorob'evy Gory, GSP-1, Moscow, 119991 Russia,
Abstract We obtain an analytical solution of the problem on the motion of a body with wedge-shaped nose in an elastic medium for the case in which a medium separation zone may occur near the nose owing to asymmetry. The character of the dependence of the separation region length on the body velocity, the nose opening angle, the motion asymmetry degree, and the friction coefficient is found. It is shown that if the body moves at a velocity greater than the transverse wave velocity, then there is a limit velocity at which the separation region near the nose of the body disappears.
Keywords contact fracture, theory of elasticity, dynamics
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2.  A. Ya. Sagomonyan, Dynamics of Punching through Obstacles (Izd-vo MGU, Moscow, 1988) [in Russian].
3.  Zh. G. Apikyan, "Motion of a Rigid Cone in an Elastic Medium at a Supersonic Speed," Izv. Akad. Nauk UzbekSSR. Mekh. 23 (1), 44-49 (1970).
4.  A. L. Pavlenko and Zh. G. Apikyan, "Supersonic Flow of a Linearly Elastic Mediumaround a Stiff Wedge," Izv. Akad. Nauk UzbekSSR. Ser. Tekh. Nauk, No. 2, 18-23 (1969).
5.  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, 181-185 (1982) [Mech. Solids (Engl. Transl.) 17 (5), 180-183 (1982)].
6.  Yu. K. Bivin and I. V. Simonov, "Estimates of the Penetration Depth of Rigid Bodies in Soils at Supersonic Impact Velocities," Dokl. Ross. Akad. Nauk 328 (4), 447-450 (1993) [Dokl. Phys. (Engl. Transl.) 38 (2), 79-81 (1993)].
7.  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), 313-322 (2000) [J. Appl. Math. Mech. (Engl. Transl.) 64 (2), 299-307 (2000)].
8.  I. V. Simonov, "Classification of Trajectories of the Plane-Parallel Motion of an Axisymmetric Body in a Strong Medium with Flow Separation," Dokl. Ross. Akad. Nauk 386 (2), 198-202 (2002) [Dokl. Phys. (Engl. Transl.) 47 (9), 693-697 (2002)].
9.  I. V. Simonov, "Transonic Flow of an Elastic Medium Past a Thin Solid," Prikl. Mat. Mekh. 48 (1), 114-122 (1984) [J. Appl. Math. Mech. (Engl. Transl.) 48 (1), 74-81 (1984)].
10.  A. V. Zvyagin, "Motion of a Thin Rigid Body in an Elastic Medium," Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 5, 59-66 (2005) [Moscow Univ. Math. Bull. (Engl. Transl.)]
11.  A. V. Zvyagin, "Motion of a Body in an Elastic Medium with Friction," Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 5, 44-50 (2006) [Moscow Univ. Math. Bull. (Engl. Transl.)]
12.  F. D. Gakhov, Boundary Value Problems (Nauka, Moscow, 1977) [in Russian].
13.  G. P. Cherepanov, Rock Fracture Mechanics in Drilling (Nedra, Moscow, 1987) [in Russian].
Received 13 May 2009
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