 | | 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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| V.A. Kovalev and Yu.N. Radaev, "Three-Dimensional Constitutive Relations of Ideal Plasticity and the Flow on the Coulomb-Tresca Prism Edge," Mech. Solids. 45 (2), 295-308 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
2 |
Pages |
295-308 |
| DOI |
10.3103/S0025654410020159 |
| Title |
Three-Dimensional Constitutive Relations of Ideal Plasticity and the Flow on the Coulomb-Tresca Prism Edge |
| Author(s) |
V.A. Kovalev (Moscow City Government University of Management, Sretenka 28, Moscow, 107045 Russia, vlad_koval@mail.ru)
Yu.N. Radaev (Samara State University, Akad. Pavlova 1, Samara, 443011 Russia, radayev@ssu.samara.ru) |
| Abstract |
In the present paper, we consider basic relations of the mathematical theory of plasticity for the spatial state corresponding to the edge of the Coulomb-Tresca prism, which follow from the generalized associated flow law restricting the plastic flow freedom for the above states to the minimal possible extent. We found that the spatial relations of the theory of plasticity, formulated by A. Yu. Ishlinsky in 1946, can be derived from the above version of the theory of flow. We show that the A. Yu. Ishlinsky constitutive relations for states on the Coulomb-Tresca prism edge express the commutativity of the stress tensor and the tensor of plastic strain increments. We obtained one explicit form of the constitutive relation relating the stress tensor to the plastic strain increments for the stressed states corresponding to the Coulomb-Tresca prism edge. |
| Keywords |
constitutive equation, flow law, stress tensor, strain increment, three-term formula |
| References |
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|
| Received |
13 October 2008 |
| Link to Fulltext |
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