Abstract
Some results of mathematical modeling of high-velocity collisions of solid deformable bodies are presented. A model is presented of a porous elastoplastic medium whose matrix undergoes a polymorphic phase transition during deformation, and approaches to the calculation of dynamical failure are examined. Finite-difference methods for solving boundary-value problems are briefly reviewed. The interaction of projectiles, having different shape, with different targets (semiinfinite, two-layer, separated) is investigated and the process of spall failure in porous media and media undergoing a polymorphic phase transition is examined on the basis of mathematical modeling.
Similar content being viewed by others
Literature cited
R. Kinslow (ed.), High-Velocity Impact Phenomena, Academic Press, New York (1970).
J. Zukas et al., Impact Dynamic, Wiley, New York (1982).
L. A. Merzhievskii and V. M. Titov, Fiz. Goreniya Vzryva, No. 5, 92–107 (1987).
R. Prümmer, Explosive Treatment of Powdered Materials [Russian translation], Mir, Moscow (1990).
A. A. Deribas, Physics of Explosive Hardening and Welding [in Russian], Nauka, Novosibirsk (1972).
P. Ceddiroal and H. Knoepfel, Physics of High Energy Densities, Academic Press, New York (1971).
Mechanics of Cratering under Impact and Explosion [Russian translation], Mir, Moscow (1977).
Impact, Explosion, and Fracture [Russian translation], Mir, Moscow (1981).
P. Pezhina, Fundamental Questions in Viscoplasticity [Russian translation], Mir, Moscow (1968).
L. I. Sedov, Mechanics of Continuous Media [in Russian], Vols. 1, 2, Nauka, Moscow (1976).
Yu. N. Rabotnov, Mechanics of Deformable Solids [in Russian], Nauka, Moscow (1988).
L. M. Kachanov, Fundamentals of Fracture Mechanics [in Russian], Nauka, Moscow (1974).
Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena [in Russian], Nauka, Moscow (1966).
S. K. Godunov, N. S. Kozin, and E. I. Romenskii, Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 123–128 (1974).
A. V. Zhukov, in: Mechanics of Deformable Solids [in Russian], Izd. Tomsk. Gos. Univ., Tomsk (1985), pp. 70–79.
V. A. Zhdanov and A. V. Zhukov, Zh. Prikl. Mekh. Tekh. Fiz., No. 5, 139–146 (1978).
L. V. Al'tshuler, A. A. Bakanova, I. P. Dudoladov, et al., Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 3–34 (1981).
L. V. Al'tshuler, N. N. Kalitkin, and L. V. Kuz'mina, Zh. Éksp. Teor. Fiz.,72, No. 1, 317–326 (1977).
K. J. Smitles, Handbook of Metals [Russian translation], Metallurgiya, Moscow (1980).
S. W. Straus, Nucl. Sci. Eng.,18, No. 2, 280–285 (1964).
A. Green and J. Adkins, Large Elastic Deformations, Clarendon Press, Oxford (1970).
A. A. Pozdeev, P. V. Trusov, and Yu. I. Nyashin, Large Elastoplastic Deformations [in Russian], Nauka, Moscow (1986).
S. S. Grigoryan, Mekh. Mat. Prikl.,24, No. 6, 1057–1072 (1960).
R. Christensen, Mechanics of Composite Materials, Wiley, New York (1979).
P. G. Cheremskoi, V. V. Slezov, and V. I. Betekhtin, Pores in Solids [in Russian], Energoatomizdat, Moscow (1990).
H. M. Carrol and A. G. Holt, J. Appl. Phys.,43, No. 4, 1626–1635 (1972).
V. N. Demidov, in: Mechanics of Deformable Solids [in Russian], Izd. Tomsk. Gos. Univ., Tomsk (1990), pp. 74–80.
L. A. Saraev, Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 164–167 (1981).
A. Kh. Akhmadeev, Dynamical Fracture of Solids in Stress Waves [in Russian], Bashkir. Affil. Akad. Nauk SSSR, Ufa (1988).
I. I. Gol'denblat and V. A. Kopnov, Criteria for Strength and Plasticity of Structural Materials [in Russian], Mashinostroenie, Moscow (1968).
M. A. Meyers and L. E. Moore (eds.), Shock Waves and High-Rate Deformation Phenomena in Metals [Russian translation], Metallurgiya, Moscow (1984).
V. S. Nikiforovskii and E. I. Shemyakin, Dynamical Fracture of Solids [in Russian], Nauka, Novosibirsk (1979).
N. N. Belov, A. I. Korneev, and A. P. Nikolaev, Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 132–136 (1985).
J. N. Johnson, J. Appl. Phys.,52, No. 4, 2812–2825 (1981).
A. A. Il'yushin, Inzh. Zh., MTT, No. 3, 21–35 (1967).
V. R. Regel', A. I. Slutsker, and É. I. Tomashevskii, Kinetic Nature of the Strength of Solids [in Russian], Nauka, Moscow (1979).
F. A. Baum, L. P. Orlenko, K. P. Stanyukovich, et al., Physics of Explosions [in Russian], Nauka, Moscow (1975).
V. A. Gridneva, A. I. Korneev, and V. G. Trushkov, Izv. Akad. Nauk SSSR, MTT, No. 1, 146–157 (1977).
D. Meinchen and S. Sak, in: Computational Methods in Fluid Dynamics [Russian translation], Mir, Moscow (1967), pp. 185–211.
V. N. Demidov, in: New Methods in the Physics and Mechanics of Deformable Solids: Proceedings of International Conference [in Russian], Izd. Tomsk. Gos. Univ., Tomsk (1990), pp. 242–249.
L. V. Al'tshuler, Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 93–103 (1978).
G. E. Duvall and R. A. Graham, Rev. Mod. Phys.,49, No. 3, 523–579 (1977).
A. V. Zhukov, A. I. Korneev, and V. G. Simonenko, Izv. Akad. Nauk SSSR, MTT, No. 4, 138–143 (1984).
L. V. Efremova, A. I. Korneev, and V. G. Trushkov, in: Mechanics of Deformable Solids, Izd. Tomsk. Gos. Univ., Tomsk (1987), pp. 64–69.
M. V. Khabibullin, Deposited in VINITI, April 19, 1989, No. 2563, Tomsk (1988).
S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov, et al., Numerical Solution of Multidimensional Problems in Gas Dynamics [in Russian], Nauka, Moscow (1976).
D. L. Book, J. P. Boris, and K. Hain, J. Comput. Phys.,18, No. 3, 24–32 (1975).
O. M. Belotserkovskii and Yu. M. Davydov, Method of Large Particles in Gas Dynamics [in Russian], Nauka, Moscow (1982).
M. L. Wilkins, in: Computational Methods in Fluid Dynamics [Russian translation], Mir, Moscow (1967), pp. 212–263.
V. N. Kukudzhanov, Usp. Mekh.,8, No. 4, 21–65 (1985).
A. I. Korneev, A. P. Nikolaev, and I. E. Shipovskii, in: Proceedings of the 7th All-Union Conference on Numerical Methods for the Solution of Problems in the Theory of Elasticity and Plasticity [in Russian], Inst. Teor. Prikl. Mekh., Novosibirsk (1982), pp. 122–129.
V. N. Demidov and A. I. Korneev, in: Mechanics of Deformable Solids, Izd. Tomsk. Gos. Univ., Tomsk (1985), pp. 19–29.
V. N. Demidov, in: Mechanics of Deformable Solids, Izd. Tomsk. Gos. Univ., Tomsk (1988), pp. 50–56.
V. P. Kolgan, Uch. Zap. TsAGI,3, No. 6, 68–77 (1972).
K. M. Magomedov and A. S. Kholodov, Finite-Difference and Characteristic Numerical Methods [in Russian], Nauka, Moscow (1988).
V. F. Nesterenko, in: Proceedings of the 10th All-Union Conference on Numerical Methods for the Solution of Problems in the Theory of Elasticity and Plasticity [in Russian], Inst. Teor. Prikl. Mekh., Novosibirsk (1988), pp. 212–220.
W. H. Gust, J. Appl. Phys.,53, No. 5, 3566–3575 (1982).
V. A. Gridneva and L. M. Artishcheva, Deposited in VINITI, September 15, 1980, No. 4040, Tomsk (1980).
N. N. Belov, A. I. Korneev, and V. B. Shutalev, Izv. Akad. Nauk SSSR, MTT, No. 6, 189–191 (1988).
M. A. Lavrent'ev, Usp. Mat. Nauk,12, No. 4, 41–56 (1957).
K. N. Krenkhagen, M. N. Bagner, J. P'echotski, et al., Raketnaya Tekh. Kosmonavtika,8, No. 12, 42–47 (1970).
G. P. Men'shikov, V. A. Odintsov, and L. A. Chudov, Izv. Akad. Nauk SSSR, MTT, No. 1, 125–130 (1976).
G. M. Bulantsev, A. I. Korneev, and A. P. Nikolaev, Izv. Akad. Nauk SSSR, MTT, No. 2, 138–143 (1985).
M. E. Backman and W. Goldsmith, Int. J. Eng. Sci.,16, No. 1, 1–99 (1978).
J. Reinhardt, Mekhanika, No. 4, 128–141 (1953).
N. N. Belov, V. A. Gridneva, I. I. Korneeva, et al., Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 115–120 (1988).
L. M. Barker and R. E. Hollenbach, J. Appl. Phys.,45, No. 11, 4872–4887 (1974).
A. A. Deribas, I. D. Zakharenko, V. M. Fomin, et al., Dokl. Akad. Nauk SSSR,272, No. 6, 1331–1335 (1983).
N. N. Belov, A. V. Zhukov, and V. G. Simonenko, in: Proceedings of International Conference on New Methods in the Physics and Mechanics of Deformable Solids [in Russian], Izd. Tomsk. Gos. Univ., Tomsk (1990), pp. 257–264.
A. V. Zhukov, Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 112–114 (1986).
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 5–48, August, 1992.
Rights and permissions
About this article
Cite this article
Belov, N.N., Demidov, V.N., Efremova, L.V. et al. Computer modeling of the dynamics of high-velocity impact and accompanying physical phenomena. Russ Phys J 35, 690–723 (1992). https://doi.org/10.1007/BF00568741
Issue Date:
DOI: https://doi.org/10.1007/BF00568741