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IssuesArchive of Issues2010-1pp.111-122

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R.I. Nepershin, "Thin-Walled Conical Shell Drawing from a Plane Blank," Mech. Solids. 45 (1), 111-122 (2010)
Year 2010 Volume 45 Number 1 Pages 111-122
DOI 10.3103/S0025654410010140
Title Thin-Walled Conical Shell Drawing from a Plane Blank
Author(s) R.I. Nepershin (Moscow State Technical University "Stankin," Vadkovskii per. 3a, K-55, Moscow, 127944 Russia, Rostislav_N@mtu-net.ru)
Abstract We present a model of the nonstationary process of drawing a thin-walled conical shell from a plane blank, which is based on the membrane theory of plastic form change of a rigidplastic body with the contact friction, the thickness variation in the sense of von Mises, the material strengthening, and the die and the matrix radii of rounding taken into account. The computational model determines the thickness and strengthening distributions along the shell generator, the graph of technological force, and the process critical parameters at which the blank fracture may occur.
Keywords conical shell, rigid-plastic body, von Mises material, drawing
References
1.  V. P. Romanovskii, Handbook on Cold Pressing (Mashinostroenie, Moscow, 1979) [in Russian].
2.  Mechanical Engineering, Encyclopedia, Vol. III-2: Technologies of Blank Production (Mashinostroenie, Moscow, 1996) [in Russian].
3.  A. D. Tomlenov, Theory of Plastic Deformation of Metals (Metallurgiya, Moscow, 1972) [in Russian].
4.  E. A. Popov, Foundations of Theory of Sheet Stamping (Mashinostroenie, Moscow, 1977) [in Russian].
5.  W. Johnson and P. B. Mellor, Engineering Plasticity (Van Nostrand Reinhold, London, 1975; Mashinostroenie, Moscow, 1979).
6.  D. M. Woo, "On the Complete Solution of the Deep-Drawing Problem," Int. J. Mech. Sci. 10 (1), 83-94 (1968).
7.  L. G. Sukhomlinov and V. K. Engelsberg, "Finite-Element System of Automated Computation of Stress-Strain State of Thin Shells in Processes of Axisymmetric Forming under the Action of Rigid Dies," Izv. Vyssh. Uchebn. Zaved. Mashinostr., No. 3, 66-71 (1989).
8.  V. V. Sokolovskii, The Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian].
9.  E. I. Shemyakin, D. D. Ivlev, R. I. Nepershin, et al., Limit State of Deformed Bodies and Rocks (Fizmatlit, Moscow, 2008) [in Russian].
10.  Yu. V. Zilberg and V. G. Bratutin, "To the Problem of Hardening Curves," Kuzn. Shtamp. Proizv. Obr. Met. Davl., No. 12, 7-12 (2006).
Received 12 May 2008
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