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IssuesArchive of Issues2007-2pp.283-290

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M. Ya. Brovman, "Solution of the plastic flow equations under axisymmetric deformation," Mech. Solids. 42 (2), 283-290 (2007)
Year 2007 Volume 42 Number 2 Pages 283-290
Title Solution of the plastic flow equations under axisymmetric deformation
Author(s) M. Ya. Brovman (Open Join-Stock Company “Tsentrosvarmash”, Pashi Savel’evoy 47, Tver, 170039, Russia, brovman@mail.ru)
Abstract In [1–3], equations describing the deformation of an ideal rigidly plastic medium in curvilinear coordinates are given. In [4], it is shown that, in the case of plane strain, these equations have simple solutions, and the stresses depend only on the metric coordinates.

In the present paper, we consider equations describing the volume strain with axial symmetry. Strains of this type are often used in the metal working processes such as pressing, forging, and drawing.
References
1.  V. V. Sokolovskii, Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian].
2.  R. Hill, Mathematical Theory of Plasticity (Gostekhizdat, Moscow, 1956) [in Russian].
3.  D. D. Ivlev, Theory of Perfect Plasticity (Nauka, Moscow, 1966) [in Russian].
4.  M. Ya. Brovman, "Solution of Equations of a Plastic Flow in Curvilinear Coordinates," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 87-98 (2004) [Mech. Solids (Engl. Transl.)].
5.  P. K. Rashevskii, Riemannian Geometry and Tensor Analysis (Nauka, Moscow, 1967) [in Russian].
6.  B. E. Pobedrya, Lectures in Tensor Analysis (Izd-vo MGU, Moscow, 1974) [in Russian].
Received 12 November 2004
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