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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2004-2pp.136-140

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B. G. Mironov, "An approximate analytical determination of the limit state of perfectly plastic bodies," Mech. Solids. 39 (2), 136-140 (2004)
Year 2004 Volume 39 Number 2 Pages 136-140
Title An approximate analytical determination of the limit state of perfectly plastic bodies
Author(s) B. G. Mironov (Moscow)
Abstract In the present study, an approximate analytical solution of three-dimensional problems of perfect plasticity is considered by using the method of small parameter in the cylindrical system of coordinates. The condition of static determinacy of a three-dimensional isotropic perfectly plastic state - the condition of perfect plasticity - is used. The Prandtl approximate solution for a layer compressed by two rigid parallel slabs is used as an initial zero approximation [1].
References
1.  A. Yu. Ishlinskii and D. D. Ivlev, Mathematicl Theory of Plasticity [in Russian], Fizmatlit, Moscow, 2001.
2.  L. Prandtl, "Examples of application of Hencky's theory to equilibrium of plastic bodies," in Yu. N. Rabotnov (Editor), Theory of Plasticity [Russian translation], pp. 102-113, Izd-vo Inostr. Lit-ry, Moscow, 1948.
3.  D. D. Ivlev, Theory of Perfect Plasticity [in Russian], Nauka, Moscow, 1966.
4.  D. D. Ivlev, "On the 3D flow of an ideally plastic material compressed by rough plates," Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 5-12, 1998.
5.  I. P. Grigor'ev and D. D. Ivlev, "On the compression of a disk-shaped ideally plastic layer by rough plates," Izv. AN. MTT [Mechanics of Solids], No. 1, pp. 129-140, 2000.
Received 05 March 2003
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