Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

Russian Russian English English About Journal | Issues | Guidelines | Editorial Board | Contact Us

IPMech RASWeb hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2010-6pp.892-920

Archive of Issues

Total articles in the database: 9198
In Russian (. . ): 6504
In English (Mech. Solids): 2694

<< Previous article | Volume 45, Issue 6 / 2010 | Next article >>
Yu.K. Bivin and I.V. Simonov, "Mechanics of Dynamic Penetration into Soil Medium," Mech. Solids. 45 (6), 892-920 (2010)
Year 2010 Volume 45 Number 6 Pages 892-920
DOI 10.3103/S0025654410060130
Title Mechanics of Dynamic Penetration into Soil Medium
Author(s) Yu.K. Bivin (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str.1, Moscow, 119526 Russia)
I.V. Simonov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str.1, Moscow, 119526 Russia)
Abstract This paper presents a survey of the results of experimental and theoretical studies in the field of high-speed penetration into soil media, which were obtained in the Institute for Problems in Mechanics, Russian Academy of Sciences. New methods for determining the dynamic parameters of such media are proposed. The laws of trajectory refraction and ricochet in oblique penetration of a single body or a group of bodies into an elastoplastic medium are studies and the phenomenon of partial ricochet is described. The results of numerous experiments were used to discover the possibilities for controlling the process of cavity formation. The specific characteristics of penetration into a statically or dynamically perturbed medium were investigated. A series of experimental studies were performed to compare the penetration of axially symmetric and equivalent spatial (star-shaped) bodies. The theoretical background was based on the principle of locality in the approximate description of the contact body-medium interaction, in which the problem of the body motion by inertia in a medium is reduced to the problem of the dynamics of a rigid elongated body with flow separation. The trajectories of curvilinear motions of bodied in an elastoplastic medium are modeled and classified by calibrating and testing the model in nontrivial experiments. Several criteria for stability of elongated body rectilinear motion on infinite time intervals are formulated; as calculations showed, these criteria ensure the practical stability in the case of deep penetration.
Keywords high-speed penetration, soil, cavity, refraction, ricochet, modeling, trajectories, motion stability criterion
1.  A. Ya. Sagomonyan, Penetration (Izd-vo MGU, Moscow, 1974) [in Russian].
2.  M. E. Backman and W. Goldsmith, "The Mechanics of Penetration of Projectiles into Targets," Int. J. Engng Sci. 16 (1), 1-99 (1978).
3.  W. Johnson and S. R. Reid, "Ricochet of Spheres off Water," J. Mech. Engng Sci. 17 (2), 71-81 (1975).
4.  A. S. Soliman, S. R. Reid, and W. Johnson, "The Effect of Spherical Projectile Speed in Ricochet off Water and Sand," Int. J. Mech. Sci. 18 (6), 279-284 (1976).
5.  I. M. Hutchings, "The Ricochet of Spheres and Cylinders from the Surface of Water," Int. J. Mech. Sci. 18 (5), 243-247 (1976).
6.  V. M. Fomin, A. I. Gulidov, G. A. Sapozhnikov, et al., High-Speed Interaction of Bodies (Izd-vo SO RAN, Novosibirsk, 1999) [in Russian].
7.  L. Euler, Neue Grundsätze der Artillerie (Berlin, 1922).
8.  I. V. Simonov and O. B. Khavroshkin, "A Method for Penetration into Geological Medium," Patent application No. 93-002688/03/002364, January 14, 1993.
9.  I. V. Simonov, S. A. Fedotov, and O. B. Khavroshkin, "Precatastrophic State of Geophysical Objects, Trigger Action, and Penetration," Dokl. Ross. Akad. Nauk 347 (6), 811-813 (1996) [Dokl. Earth Sci. (Engl. Transl.) 347A (3), 524-526 (1996)].
10.  A. V. Bogdanov, A. V. Nikolaev, V. I. Serbin, et al., "Method for Analyzing Terrestrial Planets," Kosmicheskie Issledovaniya 26 (4), 591-603 (1988) [Cosmic Res. (Engl. Transl.) 26 (4), 505-515 (1988)].
11.  A. V. Zaitsev, A. V. Dobrov, V. A. Kotin, and I. V. Simonov, "Possibilities of the Hypervelocity Impact Experiment in Frames of Demonstration Project `Space Patrol'," Int. J. Impact. Engng 20 (6-10), 839-847 (1997).
12.  I. V. Simonov, "The Feasibility of Using Large Impact to Destroy a Dangerous Asteroid," Int. J. Impact. Engng 27 (3), 293-315 (2002).
13.  H. P. Robertson, Terminal Ballistics (D.C. Nat. Res. Council, Washington, 1941).
14.  W. Allen, E. Mayfield, and H. Morrison, "Dynamics of a Projectile Penetrating Sand," J. Appl. Phys. 28 (3), 370-376 (1957) [Mekhanika. Period. Sb. Perev. Inostr. Statey (Russ. Transl.), No. 6, 125-137 (1957)].
15.  S. S. Grigorian, "On Basic Concepts in Soil Dynamics," Prikl. Mat. Mekh. 24 (6), 1057-1072 (1960) [J. Appl. Math. Mech. (Engl. Transl.) 24 (6), 1604-1627 (1960)].
16.  Kh. A. Rakhmatulin, A. Ya. Sagomonyan, and N. A. Alekseev, Problems of Soil Dynamics (Izd-vo MGU, Moscow, 1964) [in Russian].
17.  S. S. Grigoryan, "An Approximate Solution of the Problem of the Penetration of a Body into Soil," Izv. Akad. Nauk. Mekh. Zhidk. Gaza, No. 4, 18-24 (1993) [Fluid Dyn. (Engl. Transl.) 28 (4), 444-449 (1993)].
18.  A. Ya. Sagomonyan, "Piercing of a Plate by a Thin Rigid Projectile," Vestnik Moskov. Univ. Ser. I. Mat. Mekh., No. 5, 104-111 (1975) [Moscow Univ. Math. Bull. (Engl. Transl.)].
19.  I. V. Roisman, A. L. Yarin, and M. B. Rubin, "Oblique Penetration of a Rigid Projectile into an Elastic-Plastic Target," Int. J. Impact Engng 19 (9-10), 769-795 (1997).
20.  Yu. K. Bivin, V. V. Viktorov, and A. S. Chursin, "Pneumatic High-Velocity Projection Device," in Applied Problems of Strength and Plasticity, No. 9 (Izd-vo Gork. Univ., Gor'kii, 1978), pp. 140-145 [in Russian].
21.  V. F. Razorenov, Penetration Tests of Soils (Stroiizdat, Moscow, 1968) [in Russian].
22.  Yu. K. Bivin, V. V. Viktorov, and L. P. Stepanov, "Study of Motion of a Rigid Body in Clay Medium," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 2, 159-165 (1978) [Mech. Solids (Engl. Transl.)].
23.  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)].
24.  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.)].
25.  J. Poncelet, "Rapport sur un Mémoire de MM Piobert et Morin, concernant les experiences faites á Metz en 1834, sur la pénétration des projectiles dans divers milieux resistauts et sur la rupture de corps par le choc," Mém. Acad. Sci. 15, 55-91 (1838).
26.  M. I. Gurevich, The Theory of Jets in an Ideal Fluid (Nauka, Moscow, 1979) [in Russian].
27.  G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge Univ. Press, Cambridge, 1967; Mir, Moscow, 1973).
28.  V. V. Yevstrop'yev-Kudryevatyi, A. A. Kozhushko, G. A. Sapozhnikov, and V. M. Fomin, "Successive Collision of Projectiles with a Barrier," in Numerical Methods for Solving Problems of Elasticity and Plasticity, 12th All-Union Conf. (ITPM SO RAN, Novosibirsk, 1992), pp. 264-270 [in Russian].
29.  P. M. Holland, J. T. Gordon, T. L. Mennas, and A. C. Charters, "Hydrocode Results for the Penetration of Continuous, Segmented, and Hybrid Rods with Ballistic Experiments," Int. J. Impact. Engng 10 (1-4), 241-250 (1990).
30.  Yu. K. Bivin, "Direct Penetration of a Group of Bodies into an Elastoplastic Medium," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1, 80-87 (1996) [Mech. Solids (Engl. Transl.) 31 (1), 70-76 (1996)].
31.  Yu. K. Bivin, "A Cavity Formed under Vertical Entry of Rigid Bodies in a Viscoplastic Medium," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1, 93-101 (1997) [Mech. Solids (Engl. Transl.) 31 (1), 75-80 (1997)].
32.  R. Hill, "Cavitation and the Influence of Headshape in Attack of Thick Targets by Non-Deforming Projectiles," J. Mech. Phys. Solids 28 (5/6), 249-263 (1980).
33.  G. V. Logvinovich, Hydrodynamics of Flows with Free Boundaries (Naukova Dumka, Kiev, 1969) [in Russian].
34.  Yu. K. Bivin, Yu. M. Glukhov, and Yu. V. Permyakov, "Vertical Penetration of Rigid Bodies into Water," Izv. Akad. Nauk SSSR. Mekh. Zhidk. Gaza, No. 6, 3-9 (1985) [Fluid Dyn. (Engl. Transl.)].
35.  L. I. Sedov, Similarity and Dimension Methods in Mechanics (Nauka, Moscow, 1972) [in Russian].
36.  L. I. Sedov, "Water Ricochets," Dokl. Akad. Nauk SSSR 37 (9), 291-294 (1942).
37.  M. G. Efimov, Course of Artillery Shells (Oborongiz, Moscow-Leningrad, 1939) [in Russian].
38.  Yu. K. Bivin, "Change of Direction of a Rigid Body Motion on the Interface between Media," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 105-109 (1981) [Mech. Solids (Engl. Transl.)].
39.  V. A. Kolesnikov, "On the Variation of the Meteorite Trajectory Entering the Soil," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 99-104 (1981) [Mech. Solids (Engl. Transl.)].
40.  Y. L. Bai and W. Johnson, "The Effect of Projectile Speed and Medium Resistance in Ricochet off Sand," J. Mech. Engng Sci. 23 (2), 69-75 (1981).
41.  G. H. Daneshi and W. Johnson, "The Ricochet of Spherical Projectiles off Sand," Int. J. Mech. Sci. 19 (8), 491-497 (1977).
42.  Yu. K. Bivin, "Oblique Impact of Rigid Body on Ground or Water," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 6, 185-189 (1989) [Mech. Solids (Engl. Transl.)].
43.  Yu. K. Bivin, "Motion of a Body near a Free Surface of a Fluid or Plastic Medium," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 112-122 (2001) [Mech. Solids (Engl. Transl.) 36 (3), 95-104 (2001)].
44.  Yu. K. Bivin, "Oblique Penetration of a Group of Bodies into Elastoplastic Medium," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 170-173 (1993) [Mech. Solids (Engl. Transl.)].
45.  Yu. K. Bivin, "Motion of a Rigid Body in a Perturbed Medium," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 91-98 (2002) [Mech. Solids (Engl. Transl.) 37 (5), 75-81 (2002)].
46.  D. Z. Yankelevsky, "The Optimal Shape of an Earth Penetrating Projectile," Int. J. Solids Struct. 19 (1), 25-31 (1983).
47.  G. Ben-Dor, A. Dubinsky, and T. Elperin, "Modeling of High-Speed Penetration into Concrete Shields and Shape Optimization of Impactors," Mech. Based Des. Struc. Mach. 34 (2), 139-156 (2006).
48.  V. S. Bondarchuk, Yu. A. Vedernikov, V. G. Dulov, and V. F. Minin, "To Optimization of Star-Shaped Penetrators," Izv. SO AN SSSR Ser. Tekhn. Nauk, No. 13 (3), 60-65 (1982).
49.  A. L. Gonor and V. B. Poruchikov, "The Penetration of Star-Shaped Bodies into a Compressible Fluid," Prikl. Mat. Mekh. 53 (3), 405-412 (1989) [J. Appl. Math. Mech. (Engl. Transl.) 53 (3), 308-314 (1989)].
50.  V. A. Veldanov, "Penetration of Impactors of Nontraditional Shapes into Soil," Trudy MVTU, No. 530, 85-97 (1989).
51.  Yu. K. Bivin, "Comparison of Penetration of Star-Shaped and Conic Bodies," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 113-117 (1999) [Mech. Solids (Engl. Transl.) 34 (4), 94-97 (1999)].
52.  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)].
53.  I. V. Simonov, "Cavitating Penetration of a Plastic Medium by Bodies of Minimum Resistance," Prikl. Mat. Mekh. 57 (6), 110-119 (1993) [J. Appl. Math. Mech. (Engl. Transl.) 57 (6), 1067-1075 (1993)].
54.  K. Yu. Bobrovnitskii and I. V. Simonov, "Axisymmetric and Plane Motions of a Rigid Elongated Projectile Penetrating into Elastoplastic Medium with Flow Separation," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 93-98 (1996) [Mech. Solids (Engl. Transl.) 31 (5), 76-81 (1996)].
55.  I. V. Simonov and M. V. Khavroshkina, "Bending Vibrations of Elastic Elongated Bodies in dynamic Penetration into an Elastoplastic Medium," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 112-120 (1997) [Mech. Solids (Engl. Transl.) 32 (6), 95-102 (1997)].
56.  I. V. Simonov and L. M. Flitman, "Rebound of a Rigid Body FALLING on an Elastic Half-Space," Zh. Prikl. Mekh. Tekhn. Fiz. 7 (5), 173-174 (1966) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 7 (5), 126-128 (1966)].
57.  L. M. Flitman, "On Boundary Layer in Some Problems of Dynamics of Plastic Medium," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 1, 131-137 (1982) [Mech. Solids (Engl. Transl.)].
58.  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)].
59.  L. M. Flitman, "Subsonic Axisymmetric Elastoplastic Flow around Thin Pointed Bodies of Rotation," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 4, 155-164 (1991) [Mech. Solids (Engl. Transl.)].
60.  D. B. Balashov and N. V. Zvolinskii, "Flow of a Rigid-Plastic Medium around a Cone," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 3, 46-53 (1996) [Mech. Solids (Engl. Transl.) 31 (3), 39-45 (1996)].
61.  K. Yu. Osipenko and I. V. Simonov, "Supersonic Flow of a Porous Medium Past a Cone," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 87-96 (2001) [Mech. Solids (Engl. Transl.) 36 (2), 77-84 (2001)].
62.  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)].
63.  S. K. Betyaev, "Hydrodynamics: Problems and Paradoxes," Uspekhi Fiz. Nauk 165 (3), 299-330 (1995) [Phys. Usp. (Engl. Transl.) 38 (3), 287-316 (1995)].
64.  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)].
65.  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)].
66.  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)].
67.  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)].
68.  I. V. Simonov and K. Yu. Osipenko, "Stability, Paths, and Dynamic bending of a Blunt Body of Revolution Penetrating into an Elastoplastic Medium," Zh. Prikl. Mekh. Tekhn. Fiz. 45 (3), 146-160 (2004) [J. Appl. Mech. Tech. Phys. (Engl. Transl.) 45 (3), 428-439 (2004)].
69.  J. A. Zukas, T. Nicholas, H. F. Swift, L. B. Greszczuk, and D. R. Curran, Impact Dynamics (Mir, Moscow, 1985) [in Russian].
70.  I. V. Simonov, "Qualitative Features of the Motion of a Rotating Axisymmetric Rigid Body in an Elastoplastic Medium," Dokl. Ross. Akad. Nauk 411 (4), 480-484 (2006) [Dokl. Phys. (Engl. Transl.) 51 (12), 671-675 (2006)].
Received 14 May 2009
Link to Fulltext
<< Previous article | Volume 45, Issue 6 / 2010 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 246, 119526 Moscow, Russia (+7 495) 434-3538
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Ishlinsky Institute for Problems in Mechanics RAS
© Mechanics of Solids
Rambler's Top100