 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| V.M. Greshnov, "On the Relationship Between Classical Mathematical and New Physical-Mathematical Theories of Metal Plasticity," Mech. Solids. 60 (5), 3453-3464 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3453-3464 |
| DOI |
10.1134/S0025654425601077 |
| Title |
On the Relationship Between Classical Mathematical and New Physical-Mathematical Theories of Metal Plasticity |
| Author(s) |
V.M. Greshnov (Ufa University of Science and Technology, Ufa, Rep. Bashkortostan, 450076 Russia, greshnov_vm@list.ru) |
| Abstract |
Currently, there are two theories of metal plasticity in solid mechanics: the classical mathematical theory of plasticity [1, 2] and the physical and mathematical theory of plasticity [3]. Both theories are used to solve applied problems of plasticity, in particular, in the development and improvement of technological processes of metal pressure treatment [5–7]. This paper examines the relationship between the above-mentioned theories. Based on the analysis of the initial postulates and
principles, the disadvantages and advantages of the theories for solving problems of theoretical design
of technological processes of metal pressure treatment are identified. The analysis allows us to assert
that the physical and mathematical theory of plasticity is a more general theory, which includes the
mathematical theory of plasticity as a special case and which does not have the disadvantages of the
latter. It follows from this that the physical and mathematical theory of metal plasticity is an important scientific achievement in solid mechanics. |
| Keywords |
processes of plastic deformation, metal forming, stress-strain state, mathematical modeling of processes, structure of metals, mechanical properties of metals, theory of plasticity |
| Received |
06 March 2025 | Revised |
08 April 2025 | Accepted |
10 April 2025 |
| Link to Fulltext |
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