 | | 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
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 46, Issue 4 / 2011 | Next article >> |
| V.M. Greshnov, "Physical-Mathematical Theory of Irreversible Strains in Metals," Mech. Solids. 46 (4), 544-553 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
4 |
Pages |
544-553 |
| DOI |
10.3103/S0025654411040054 |
| Title |
Physical-Mathematical Theory of Irreversible Strains in Metals |
| Author(s) |
V.M. Greshnov (Ufa State Aviation Technical University, K. Marksa 12, Ufa, Bashkortostan, 450000 Russia, greshnov_vm@list.ru) |
| Abstract |
We give a systematic presentation of the physical-mathematical theory of irreversible strains in metallic materials. The fundamental postulates of the classical mathematical theory of plasticity are stated as corollaries of the fundamental statements of the physical-mathematical theory of plasticity. |
| Keywords |
strain mechanics, strain physics, loading history, synthetic approach, constitutive relations |
| References |
| 1. | V. N. Kukudzhanov,
"Coupled Models of Elastoplasticity and Damage and Their Integration,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 103-135 (2006)
[Mech. Solids (Engl. Transl.)
41 (6), 83-109 (2006)]. |
| 2. | Yu. V. Grinyaev and V. E. Panin,
"The Field Theory of Defects on the Mesolevel,"
Dokl. Ross. Akad. Nauk
353 (1), 37-39 (1997)
[Dokl. Phys. (Engl. Transl.)
42 (3), 108-110 (1997)] |
| 3. | V. M. Greshnov,
"A Model of a Viscoplastic Body Taking into Account the Loading History,"
"A Model of Viscoplastic Body with the Loading History Taken into Account,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 117-125 (2005)
[Mech. Solids (Engl. Transl.)
40 (2), 97-103 (2005)]. |
| 4. | A. Yu. Ishlinskii and D. D. Ivlev,
Mathematical Theory of Plasticity
(Fizmatlit, Moscow, 2001)
[in Russian]. |
| 5. | Yu. N. Rabotnov,
Creep of Construction Elements
(Nauka, Moscow, 1996)
[in Russian]. |
| 6. | V. M. Segal,
"Development of Metal Treatment by Intensive Shear Strain,"
Metally,
No. 1, 5-14 (2004). |
| 7. | Farid H. Abed,
"Physically Based Multiscale-Viscoplastic Model for Metals and Alloys: Theory and Computation,"
http://etd.lsu.edu/docs/available/etd-07062005-094112/. |
| 8. | J. Lin and T. A. Dean,
"Modelling of Microstructure Evolution in Hot Forming Using Unified Constitutive Equations,"
J. Mat. Proc. Tech.
167 (2-3), 354-362 (2005). |
| 9. | B. Berisha, P. Hora, and A. Wahlen,
"A Dislocation Based Material Model for Warm Forming Simulation,"
Int. J. Mater. Form.
1 (3), 135-141 (2008). |
| 10. | V. M. Greshnov,
"On Perspectives of the Use of Physical Theory of Plastic Strain in Computational Method of
Plasticity Theory,"
in Collection of Abstracts of Intern. Sci.-Techn. Conference "Plasticity Problems in Technology"
(OrelGTU, Orel, 1995),
p. 13
[in Russian]. |
| 11. | V. M. Greshnov, I. V. Potyaeva, and V. E. Sidorov,
"Physico-Mathematical Theory of Metal Plasticity and Creeping,"
Vest. UGATU
9 (6), 143-152 (2007). |
| 12. | V. M. Greshnov, F. F. Safin, and M. V. Greshnov,
"Physico-Phenomenological Model of Metal Resistance to
Plastic Deformation for the Calculation of the Processes
of Metal Plastic Working. Part 1. Statement of the Problem
and Derivation of the General Equation,"
Probl. Prochn.,
No. 6, 107-115 (2002)
[Strength of Materials (Engl. Transl.)
4 (6), 606-611 (2002)]. |
| 13. | V. M. Greshnov, F. F. Safin, and M. V. Greshnov,
"Physico-Phenomenological Model of Metal Resistance to
Plastic Deformation for the Calculation of the Processes
of Metal Plastic Working. Part 2. Particular Cases of the
Model and Its Experimental Validation,"
Probl. Prochn.,
No. 1, 87-97 (2003)
[Strength of Materials (Engl. Transl.)
4 (1), 60-67 (2003)]. |
| 14. | V. M. Greshnov,
"One Plasticity Model for Problems of Plastic Metal Working,"
Zh. Prikl. Mekh. Tekhn. Fiz.
49 (6), 159-169 (2008)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
49 (6), 1021-1029 (2008)]. |
| 15. | M. A. Stremel,
Strength of Alloys. Part 2. Deformation
(MISIS, Moscow, 1997)
[in Russian]. |
| 16. | R. Becker,
"Über die Plastizität amorpher und kristalliner fester Körper,"
Phys. Zeitschr.
26, 919-925 (1925). |
| 17. | P. I. Polukhin, G. Ya. Gun, and A. M. Galkin,
Resistance of Metals and Alloys to Plastic Deformation: Handbook
(Metallurgiya, Moscow, 1983)
[in Russian]. |
|
| Received |
26 June 2009 |
| Link to Fulltext |
|
| << Previous article | Volume 46, Issue 4 / 2011 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English