 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 48, Issue 6 / 2013 | Next article >> |
| S.E. Aleksandrov and E.A. Lyamina, "Strain Rate Intensity Factors for a Plastic Material Layer Compressed Between Cylindrical Surfaces," Mech. Solids. 48 (6), 636-648 (2013) |
| Year |
2013 |
Volume |
48 |
Number |
6 |
Pages |
636-648 |
| DOI |
10.3103/S0025654413060071 |
| Title |
Strain Rate Intensity Factors for a Plastic Material Layer Compressed Between Cylindrical Surfaces |
| Author(s) |
S.E. Aleksandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, sergei_alexandrov@yahoo.com)
E.A. Lyamina (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, lyamina@inbox.ru) |
| Abstract |
For some models of rigid-plastic bodies, the strain rate fields turn out to be singular near the maximum friction surfaces. In particular, the equivalent strain rate (the second invariant of the strain rate tensor) tends to infinity when approaching such frictions surfaces. The coefficient multiplying the leading singular term in the series expansion of the equivalent strain rate near the maximum friction surfaces is called the strain rate intensity factor. This coefficient occurs in several models predicting the development of intensive plastic deformation layers near friction surfaces and in equations describing the change in the material structure in such layers. In the present paper, the solution is constructed for the compression of a layer of a plastic material obeying the double shear model between cylindrical surfaces on each of which the maximum friction law holds. The dependence of two strain rate intensity factors on the material and process parameters is calculated and analyzed. |
| Keywords |
friction, strain rate intensity factor, intensive plastic deformation layer, double shear model, closed-form solution |
| References |
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Int. J. Non-Lin. Mech.
36 (1), 1-11 (2001). |
| 2. | S. E. Aleksandrov and E. A. Lyamina,
"Singular Solutions for Plane Plastic Flow of Pressure-Dependent Materials,"
Dokl. Ross. Akad. Nauk
383 (4), 492-495 (2002).
[Dokl. Phys. (Engl. Transl.)
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| 3. | S. E. Aleksandrov, A. R. Pirumov, and O. V. Chesnikova,
"Plastic Flow of Porous Materials in Friction Contact Area,"
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| 4. | S. E. Aleksandrov and E. A. Lyamina,
"On the Possibility of Introducing the Strain Rate Intensity Coefficient
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(A. Yu. Ishlinskii Institute for Problems in Mechanics, RAS,
Nauka, Moscow, 2009)
[in Russian],
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| 5. | S. E. Aleksandrov and G. Mishuris,
"Qualitative Behavior of Viscoplastic Solutions
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65 (2), 143-156 (2009). |
| 6. | S. E. Aleksandrov and E. A. Lyamina,
"Solving the Problem of Expansion and Extension
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| 9. | W. A. Spitzig, R. J. Sober, and O. Richmond,
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| 11. | A. S. Kao, H. A. Kuhn, W. A. Spitzig, and O. Richmond,
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| 12. | E. Lyamina, S. Aleksandrov, D. Grabko, and O. Shikimaka,
"An Approach to Prediction of Evolution of Material Properties
in the Vicinity of Frictional Interfaces in metal Forming,"
Key Engng Mater.
345-346, 741-744 (2007). |
| 13. | S. E. Aleksandrov and E. A. Lyamina,
"Nonlocal Fracture Criterion near Surface Friction and
Its Application to Analysis of Drawing and Extrusion,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 3, 62-68 (2007). |
| 14. | S. E. Aleksandrov, D. Z. Grabko, and O. A. Shikimaka,
"To the Determination of Intensive Strain Layer Thickness
near the Friction Surface in Metal Forming Processes,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 3, 72-78 (2009). |
| 15. | S. P. Moylan, S. Kompella, S. Chandrasekar, and T. N. Farris,
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under Combined Treatment with Hydraulic Forging,"
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No. 2, 71-74 (2008). |
| 17. | S. Alexandrov,
"The Strain Rate Intensity Factor and Its Applications: A Review,"
Mater. Sci. Forum.
623, 1-20 (2009). |
| 18. | S. Alexandrov and E. Lyamina,
"Flow of Pressure-Dependent Plastic Material between Two Rough Conical Walls,"
Acta Mech.
187 (1-4), 37-53 (2006). |
| 19. | S. E. Aleksandrov and E. A. Lyamina,
"Strain Rate Intensity Factors for a Plastic Mass Flow
between Two Conical Surfaces,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 74-78 (2008).
[Mech. Solids (Engl. Transl.)
43 (5), 751-755 (2008)] |
| 20. | S. E. Aleksandrov and E. A. Lyamina,
"Strain-Rate Intensity Factor in Compression of a Layer of
a Plastic Material between Cylindrical Surfaces,"
Zh. Prikl. Mekh. Tekhn. Fiz.
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50 (3), 504-511 (2009)]. |
| 21. | L. M. Kachanov,
Foundations of the Theory of Plasticity
(Gostekhizdat, Moscow, 1956)
[in Russian]. |
|
| Received |
20 April 2011 |
| Link to Fulltext |
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