 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 55, Issue 6 / 2020 | Next article >> |
| Zubchaninov V.G., "On the Main Hypotheses of the General Mathematical Theory of Plasticity and the Limits of Their Applicability," Mech. Solids. 55 (6), 820-826 (2020) |
| Year |
2020 |
Volume |
55 |
Number |
6 |
Pages |
820-826 |
| DOI |
10.3103/S0025654420060163 |
| Title |
On the Main Hypotheses of the General Mathematical Theory of Plasticity and the Limits of Their Applicability |
| Author(s) |
Zubchaninov V.G. (Tver State Technical University, Tver, 170026 Russia, vlgzub@gmail.com) |
| Abstract |
The article discusses and analyzes the issues of applicability and the limits of applicability of some of the main hypotheses of the general mathematical theory of plasticity. In the theory of elastoplastic deformation processes, this is the postulate of the isotropy of initially isotropic bodies, in which the invariance of orthogonal transformations of the process images is established when a relationship between stresses and deformations is established. In the theory of flow, this is a hypothesis about the decomposition of total deformations into elastic and plastic deformations and the influence on its relationship between stresses and deformations under complex loading. |
| Keywords |
elasticity, plasticity, stress and strain tensors, invariants, complex loading, stress and strain vectors, isotropy postulate, deformation decomposition hypothesis |
| Received |
28 May 2020 | Revised |
22 June 2020 | Accepted |
15 August 2020 |
| Link to Fulltext |
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