 | | 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 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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 |
| << Previous article | Volume 39, Issue 2 / 2004 | Next article >> |
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