| | 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 |
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V. A. Andrushchenko, V. A. Goloveshkin, V. V. Zuev, and N. N. Kholin, "Impact of flat and axisymmetric strikers against a rigid fixed obstacle," Mech. Solids. 40 (5), 73-81 (2005) |
Year |
2005 |
Volume |
40 |
Number |
5 |
Pages |
73-81 |
Title |
Impact of flat and axisymmetric strikers against a rigid fixed obstacle |
Author(s) |
V. A. Andrushchenko (Moscow)
V. A. Goloveshkin (Moscow)
V. V. Zuev (Moscow)
N. N. Kholin (Moscow) |
Abstract |
Analytical and numerical methods are used to solve problems on the impact
of elastic and elastoplastic strikers of various configuration against an
absolutely rigid plane at a medium speed V0≤70 m/s (within small
strain theory). For elastic strikers, the stress in a typical cross-section
is computed for various orientations of the striker with respect to the
plane.
Earlier, problems on the impact of short flat elastic rods against a rigid
smooth obstacle were studied analytically in [1, 2], where striker recoil
and the accompanying loss of momentum due to the transition of part of the
rod energy to the energy of its transverse vibrations were analyzed. The
following problems were studied analytically and numerically in [3-5]: the
coaxial impact of a cylinder against a round plate (where good agreement
between the results the theoretical and numerical approaches was obtained)
and the problem on the recoil of a cubical striker from an absolutely rigid
plane.
We point out that the stress-strain state of strikers of various shape and
rheology, wave formation in them, and their recoil from obstacles were
studied by numerous authors (e.g., see [6-10]). In the present paper, an
attempt is made to reveal and study those aspects of striker theory which
are not reflected in papers of other authors. |
References |
1. | V. A. Goloveshkin, "On the loss of contact of a striker with an
obstacle," Mekh. Kompoz. Mater. Konstr., Vol. 5, No. 4, pp. 145-150, 1999. |
2. | V. A. Andrushchenko, V. A. Goloveshkin, and N. N. Kholin, "Loss of
momentum on impact of a short rod against a smooth obstacle," Inzh.-Fiz.
Zh., Vol. 74, No. 1, pp. 111-117, 2001. |
3. | V. A. Andrushchenko, V. A. Goloveshkin, and N. N. Kholin, "The
problem on the coaxial impact of a cylinder against a round plate," Izv.
AN SSSR. MTT [Mechanics of Solids], No. 5, pp. 81-88, 1990. |
4. | E. I. Andriankin, V. A. Andrushchenko, and N. N. Kholin, "A
numerical method for solving three-dimensional nonstationary problems in
elastoplastic medium dynamics," Zh. Vychisl. Mat. Mat. Fiz., Vol. 28,
No. 11, pp. 1711-1718, 1988. |
5. | N. N. Kholin and V. A. Andrushchenko, "Strength analysis under the
conditions of intensive impulsive actions," in Strength Analysis, Vol. 31, pp. 208-230,
Mashinostroenie, Moscow, 1990. |
6. | V. N. Kukudzhanov, Propagation of Elastoplastic Waves in a Rod with
the Effect of Strain Rate Taken into Account, Izd-vo VTs AN SSSR, Moscow, 1967. |
7. | N. A. Veklich, "On the propagation and interaction of
elastoplastic waves in a rod on impact against an obstacle," Izv. AN. MTT
[Mechanics of Solids], No. 4, pp. 182-186, 1970. |
8. | S. M. Belevich and Yu. G. Korotkikh, "Some results of numerical
analysis of impact of a rod against a rigid obstacle," in Methods for
Solving Elasticity and Plasticity Problems, No. 6, pp. 85-99, Izd-vo Gorkovsk. Un-ta,
Gorki, 1972. |
9. | A. I. Gulidov and V. M. Fomin, "Numerical modeling of the recoil
of axisymmetric rods from a rigid obstacle," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, No. 3, pp. 126-132,
1980. |
10. | A. B. Kiselev, "Numerical study of the impact of elastoplastic
bodies against a rigid obstacle in the three-dimensional setting," Vestn.
MGU. Ser. 1. Matem., Mekh., No. 4, pp. 51-56, 1985. |
11. | M. Abramovitz and I. A. Stegun, Handbook of Mathematical
Functions, Dover Publ., New York, 1970. |
|
Received |
24 October 2003 |
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