 | | 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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| M. Ya. Brovman, "On the plane stress state under plastic strain," Mech. Solids. 44 (1), 88-97 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
1 |
Pages |
88-97 |
| DOI |
10.3103/S0025654409010099 |
| Title |
On the plane stress state under plastic strain |
| Author(s) |
M. Ya. Brovman (Open Join-Stock Company "Tsentrosvarmash", Pashi Savel’evoy 47, Tver, 170039, Russia, brovman@mail.ru) |
| Abstract |
We consider the plane stress state used in the analysis of strains of thin bodies. Methods for solving problems under the assumption that three out of six components of the stress tensor are zero can be found in [1-3].
In the present paper, the strain of a perfect rigid-plastic medium in the plane stress state is studied in curvilinear orthogonal coordinates. We show that in any coordinate system there exists an exact solution for which the stresses depend only on the metric function. |
| References |
| 1. | V. V. Sokolovskii, The Theory of Plasticity (Vysshaya Shkola, Moscow, 1969) [in Russian]. |
| 2. | R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950; Gostekhizdat, Moscow, 1956). |
| 3. | M. Ya. Brovman, "Solution of Equations of a Plastic Flow in Curvilinear Coordinates," Izv. Akad. Nauk.Mekh. Tverd. Tela, No. 4, 86-97 (2004) [Mech. Solids (Engl. Transl.) 39 (4), 68-76 (2004)]. |
| 4. | M. Ya. Brovman, Application of the Theory of Plasticity in Rolling (Metallurgiya, Moscow, 1991) [in Russian]. |
| 5. | N. F. Morozov, Mathematical Problems of Crack Theory (Nauka, Moscow, 1984) [in Russian]. |
|
| Received |
26 January 2006 |
| Link to Fulltext |
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