 | | 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
|
| In English (Mech. Solids): | | 4760 |
|
| << Previous article | Volume 49, Issue 6 / 2014 | Next article >> |
| I.N. Borodin and Yu.V. Petrov, "Relaxation Model of Dynamic Plastic Deformation of Materials," Mech. Solids. 49 (6), 635-642 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
6 |
Pages |
635-642 |
| DOI |
10.3103/S0025654414060041 |
| Title |
Relaxation Model of Dynamic Plastic Deformation of Materials |
| Author(s) |
I.N. Borodin (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoi pr. 61, St. Petersburg, 199178 Russia, elbor7@gmail.com)
Yu.V. Petrov (Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, Bol'shoi pr. 61, St. Petersburg, 199178 Russia; St. Petersburg State University, Universitetskii pr. 28, Petergof, St. Petersburg, 198504 Russia, yp@yp1004.spb.edu) |
| Abstract |
A version of the metal plasticity relaxation model based on a plasticity integral criterion with the characteristic relaxation time parameter is suggested. The dislocation concepts of metal plasticity together with the Maxwell model for a strongly viscous fluid are used to show that this characteristic relaxation time parameter can be interpreted in terms of dissipation and energy accumulation in the case of mobile dislocations. The coincidence of the values of characteristic plastic relaxation time obtained for various descriptions of the whisker deformation allows one to conclude that the characteristic relaxation time is a basic characteristic of the material dynamic properties. |
| Keywords |
plasticity relaxation model, characteristic relaxation time, sharp yield point, whisker, yield point, dislocation |
| References |
| 1. | G. V. Berezhkova,
Filamentary Crystals
(Nauka, Moscow, 1969)
[in Russian]. |
| 2. | B. V. Petukhov,
"A Theory of Sharp Yield Point in Low-Dislocation Crystals,"
Zh. Tekhn. Fiz.
71 (11), 42-47 (2001)
[Tech. Phys. (Engl. Transl.)
46 (11), 1389-1395 (2001)]. |
| 3. | M. A. Meyers and K. K. Chawla,
Mechanical Behavior of Materials
(Cambridge Univ. Press, New York, 2009). |
| 4. | J. R. Greer and J. Th. M. de Hosson,
"Plasticity in Small-Sized Metallic Systems: Intrinsic versus Extrinsic Size Effect,"
Prog. Mat. Sci.
56 (6), 654-724 (2001). |
| 5. | A. A. Gruzdkov, E. V. Sitnikova, N. F. Morozov, and Yu. V. Petrov,
"Thermal Effect in Dynamic Yielding and Fracture of Metals and Alloys,"
Math. Mech. Solid
14 (1-2), 72-87 (2009). |
| 6. | A. A. Gruzdkov, Yu. V. Petrov, and V. I. Smirnov,
"An Invariant Form of the Dynamic Criterion for Yield of Metals,"
Fiz. Tverd. Tela
44 (11), 1987-1989 (2002)
[Phys. Solid State (Engl. Transl.)
44 (11), 2080-2082 (2002)]. |
| 7. | A. A. Gruzdkov and Yu. V. Petrov,
"On Temperature-Time Correspondence in High-Rate Deformation of Metals,"
Dokl. Physics
44, 114-116 (1999). |
| 8. | M. M. Hutchinson,
"High Upper Yield Point in Mild Steel,"
J. Iron Steel Inst.
186, 431-432 (1957). |
| 9. | S. S. Brenner,
"Plastic Deformation of Copper and Silver Whiskers,"
J. Appl. Phys.
28 (9), 1023-1026 (1957). |
| 10. | R. V. Coleman, P. B. Price, and N. Cabera,
"Slip of Zinc and Cadmium Whiskers,"
J. Appl. Phys.
28, 1360-1361 (1957). |
| 11. | E. Cadoni, F. D'Aiuto, and C. Albertini,
"Dynamic Behavior of Advanced High Strength Steel Used in the Automobile Structures,"
DYMAT
1, 135-141 (2009). |
| 12. | E. N. Borodin and A. E. Mayer,
"A Simple Mechanical Model for Grain Boundary Sliding in Nanocrystalline Metals,"
Mat. Sci. Engng A
532, 245-248 (2012). |
| 13. | I. N. Borodin, A. E. Mayer, Yu. V. Petrov, and A. A. Gruzdkov,
"Relaxation Mechanism of Plastic Deformation and Its Justification by an Example
of Sharp Yield Point,"
Fiz. Tverd. Tela
57, (2014)
[Phys. Solid State (Engl. Transl.)]. |
| 14. | V. S. Krasnikov, A. E. Mayer and A. P. Yalovets,
"Dislocation Based High-Rate Plasticity Model
and Its Application to Plate-Impact and Ultra Short Electron Irradiation Simulations,"
Int. J. Plasticity
27 (8), 1294-1308 (2011). |
| 15. | A. E. Mayer, K. V. Khishchenko, P. R. Levashov, and P. N. Mayer,
"Modeling of Plasticity and Fracture of Metals at Shock Loading,"
J. Appl. Phys.
113, 193508 (2013). |
| 16. | A. E. Dudorov and A. E. Mayer,
"Equations of Dislocation Dynamics and Kinetics is High-Rate Plastic Deformation,"
Vestnik Chelyabinsk Gos. Univ.
39 (254), No. 12, 48-56 (2011). |
| 17. | I. S. Grigoriev and E.Z. Melikhov (Eds.),
Physical Quantities. Reference Book
(Energiya, Moscow, 1991)
[in Russian]. |
|
| Received |
05 August 2014 |
| Link to Fulltext |
|
| << Previous article | Volume 49, Issue 6 / 2014 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English