 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5249 |
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| S.V. Firsov and A.A. Burenin, "On the Extrusion of an Elastic-Viscoplastic Material in a Rectangular Matrix Due to a Changing Pressure Difference," Mech. Solids. 60 (6), 4400-4413 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4400-4413 |
| DOI |
10.1134/S0025654425602642 |
| Title |
On the Extrusion of an Elastic-Viscoplastic Material in a Rectangular Matrix Due to a Changing Pressure Difference |
| Author(s) |
S.V. Firsov (Institute of Mechanical Engineering and Metallurgy of the Far East Branch of the Russian Academy of Sciences, Komsomolsk-na-Amure, 681005 Russia, firsov.s.new@yandex.ru)
A.A. Burenin (Institute of Mechanical Engineering and Metallurgy of the Far East Branch of the Russian Academy of Sciences, Komsomolsk-na-Amure, 681005 Russia, burenin@iacp.dvo.ru) |
| Abstract |
Algorithms for solving and calculation results for the problem of the movement of material
in a rectangular pipe under the action of an increasing pressure drop in the frame of theory of finite
elastic-viscoplastic strains are presented. The problem with specifying reversible and irreversible
deformations by differential equations of their transfer is reduced to solving a system of differential
equations with no-slip conditions on the pipe walls. An approximate solution of such a problem by the
finite-difference method remains within the framework of the classical approach, without encountering additional difficulties. The elastic properties of an incompressible material are specified by a threeconstant dependence of the elastic material on the invariants of the Almansi tensor, viscoplastic properties by flow theory with a generalized condition of maximum von Mises octahedral stresses for the
case of taking into account the viscous resistance to plastic flow. The time and place of origin of viscoplastic flow, the patterns of movement of elastic-plastic boundaries, the elastic core, the evolution
of stagnation zones in the corners of the pipe are calculated. |
| Keywords |
elasticity, plasticity, finite strain, viscoplasticity, antiplane strain, rectangular tube |
| Received |
23 May 2025 | Revised |
07 June 2025 | Accepted |
08 June 2025 |
| Link to Fulltext |
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