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IssuesArchive of Issues2005-5pp.73-81

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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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