 | | 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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| A. V. Konovalov, "Constitutive relations for metals under high-temperature plastic strains," Mech. Solids. 44 (1), 98-104 (2009) |
| Year |
2009 |
Volume |
44 |
Number |
1 |
Pages |
98-104 |
| DOI |
10.3103/S0025654409010105 |
| Title |
Constitutive relations for metals under high-temperature plastic strains |
| Author(s) |
A. V. Konovalov (Institute of Engineering Science, Ural Branch of the Russian Academy of Sciences, Komsomol’skaya 34, GSP-207, Ekaterinburg, 620219, Russia, avk@imach.uran.ru) |
| Abstract |
We construct constitutive relations for metals subjected to large plastic strains at high temperatures.
A metal is an elastoviscoplastic medium strengthening under plastic strains and softening owing to return processes and dynamic recrystallization [1, 2]. In [3-7], constitutive relations were obtained for a viscoplastic medium under high-temperature plastic strains. These relations include kinetic equations describing the return process [4], recrystallization [5, 7], and the joint action of the return process and recrystallization [3, 6]. In [3, 7], the recrystallization nucleus density is additionally introduced, and in [3, 6], the increase in metal recrystallization volumes is taken into account. In the mathematical model in [5], the authors explicitly use separate points of the strengthening curves, which narrows the scope of the model. An analysis shows that, to obtain an adequate description of metal rheology under complicated laws and for a wide range of the strain rate variation, it is necessary to improve the constitutive relations obtained earlier. |
| References |
| 1. | P. I. Polukhin, G. Ya. Gun, and A. M. Galkin, Resistance of Metals and Alloys to Plastic Deformation: Handbook (Metallurgiya, Moscow, 1983) [in Russian]. |
| 2. | M. L. Bernshtein, S. V. Dobatkin, L. M. Kaputkina, and S. D. Prokoshkin (Editors), Hot-DeformationDiagrams and the Structure and Properties of Steels: Handbook (Metallurgiya, Moscow, 1989) [in Russian]. |
| 3. | A. V. Konovalov, "Plotting of Dynamic Models of the Plastic Deformation Resistance of Metals by Identification-Theory Methods," Izv. Akad. Nauk SSSR. Met., No. 6, 178-184 (1984) [Russ. Metallurgy (Metally) (Engl. Transl.), No. 6, 173-179 (1984)]. |
| 4. | Z. Marciniak and A. Konieczny, "Modeling the Variation of the Yield Stress within the Temperature Range Typical for Cold and Warm Metal Forming," J. Mech. Working Technology 15, 15-37 (1987). |
| 5. | K. Karhausen and R. Kopp, "Model for Integrated Process and Microstructure Simulation in Hot Forming," Steel Res. 63(6), 247-256 (1992). |
| 6. | A. Manonukul and F. P. E. Dunne, "Initiation of Dynamic Recrystallization under Inhomogeneous Stress States in Pure Copper," Acta Mat. 47(17), 4339-4354 (1999). |
| 7. | A. V. Konovalov, "Constitutive Relations for an Elastoviscoplastic Medium Subject to Large Plastic Deformation," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 110-118 (2000) [Mech. Solids (Engl. Transl.) 35 (4), 93-100 (2000)]. |
| 8. | L. I. Sedov, Mechanics of Continuous Media, Vol. 1 (Nauka, Moscow, 1984) [in Russian]. |
| 9. | Yu. N. Rabotnov, Creep of Construction Elements (Nauka, Moscow, 1966) [in Russian]. |
| 10. | A. V. Konovalov, "Viscoplastic Model for the Resistance of Metals to High-Temperature Deformation," Izv. Akad. Nauk.Met., No. 5, 94-98 (2005) [Russ.Metallurgy (Metally) (Engl. Transl.), No. 5, 456-459 (2005)]. |
| 11. | A. H. Cottrell, Dislocations and Plastic Flow in Crystals (Clarendon Press, Oxford, 1953; Metallurgizdat, Moscow, 1958). |
| 12. | J. F. Bell, The Experimental Foundations of Solid Mechanics, Part 1: Small Strains, Ed. by A. P. Filin (Nauka, Moscow, 1984) [in Russian]. |
|
| Received |
30 January 2006 |
| Link to Fulltext |
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