 | | 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 49, Issue 6 / 2014 | Next article >> |
| S.E. Aleksandrov and R.V. Goldstein, "Study of Compression Settlement of a Three-Layer Rigid-Plastic Strip between Parallel Plates," Mech. Solids. 49 (6), 703-712 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
6 |
Pages |
703-712 |
| DOI |
10.3103/S0025654414060120 |
| Title |
Study of Compression Settlement of a Three-Layer Rigid-Plastic Strip between Parallel Plates |
| Author(s) |
S.E. Aleksandrov (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, sergei_alexandrov@yahoo.com)
R.V. Goldstein (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia, goldst@ipmnet.ru) |
| Abstract |
The process of compression settlement of a three-layer strip between parallel plates is investigated under the plane strain conditions. The inner layer of the strip is assumed to be made of a rigid-plastic hardening material, and the two outer layers are assumed to be ideally rigid-plastic. The boundary value problem has two symmetry axes. It is assumed that the strip thickness is much less than its width. The boundary conditions at the strip edge and at the center are satisfied in integral form. Two friction regimes, i.e., sliding and adhesion, are possible on the surface of contact between the strip and the plates and on the interface between the layers. It is shown that the general structure of the solution depends on the regimes realized at the moment. In particular, one of the layers can remain rigid at a certain stage of the deformation process. The differential equations are stated which permit exactly determining the conditions of the friction regime change and the state of each layer (rigid or plastic); these equations must be solved numerically. For some values of parameters of the boundary value problem, the velocity field is singular near one or both surfaces of friction. In these cases, it is necessary to calculate the strain rate intensity coefficient whose value probably controls the process of formation of a narrow layer with strongly changed properties near the corresponding surface of friction. |
| Keywords |
three-layer strip, compression settlement, friction regime, rigid-plastic body, strain rate intensity coefficient |
| References |
| 1. | R. Hill,
The Mathematical Theory of Plasticity
(Clarendon, Oxford, 1950; Gostekhizdat, Moscow, 1956). |
| 2. | V. V. Dudukalenko and D. D. Ivlev,
"Compression of Bands of Plastic Material which can be Strengthened with Rigid Rough Plates,"
Dokl. Akad. Nauk SSSR
153 (5), 1024-1026 (1963)
[Sov. Phys. Dokl. (Engl. Transl.)
8, 1252-1254 (1964)]. |
| 3. | G. I. Bykovtsev,
"Compression of Anisotropically Strengthening Plastic Layer
by Rough Plates,"
Dokl. Akad. Nauk SSSR
157 (1), 66-68 (1964)
[Sov. Phys. Dokl. (Engl. Transl.)]. |
| 4. | I. F. Collins and S. A. Meguid,
"On the Influence of Hardening and Anisotropy
on the Plane-Strain Compression of Thin Metal Strip,"
Trans. ASME. J. Appl. Mech.
44, 272-278 (1977). |
| 5. | S. Alexandrov, G. Mishuris, and W. Miszuris,
"An Analysis of the Plane-Strain Compression of a Three Layer Strip,"
Arch. Appl. Mech.
71 (8), 555-566 (2001). |
| 6. | S. Alexandrov, G.-Y. Tzou, and M.-N. Huang,
"Plane Strain Compression of Rigid/Perfectly Plastic Multilayer Strip between Parallel Platens,"
Acta Mech.
184 (1-4), 103-120 (2006). |
| 7. | B. J. Griffiths,
"Mechanisms of White Layer Generation with Reference to Matching and Deformation Process,"
Trans. AMSE. J. Trib.
109, 525-530 (1987). |
| 8. | T. T. Sasaki, R. A. Morris, G. B. Thompson, et al.,
"Formation of Ultra-Fine Copper Grains in Copper-Clad Aluminum Wire,"
Scripta Mater.
63, 488-491 (2010). |
| 9. | M. Thirumurugan, S. A. Rao, S. Kumaran, T. S. Rao,
"Improved Ductility in ZM21 Magnesium-Aluminum Macrocomposite Produced by Co-Extrusion,"
J. Mater. Process. Technol.
211, 1637-1642 (2011). |
| 10. | X. Huang, Z. Zhou, Y. Ren, et al.,
"Experimental Research Material Characteristics Effect
on White Layer Formation in Grinding of Hardened Steel,"
Int. J. Adv. Manuf. Technol.
66, 1555-1561 (2013). |
| 11. | T. A. Trunina and E. A. Kokovikhin,
"Formation of Highly Dispersed Structure in Surface Layers of Steel under Combined Treatment with Hydraulic Forging,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 2, 71-78 (2008). |
| 12. | S. E. Aleksandrov, D. Z. Grabko, and O. A. Shikimaka,
"o the Determination of Intensive Strain Layer Thickness
near the Friction Surface in Metal Forming Processes,"
Probl. Mashinostr. Nadezhn. Mashin,
No. 3, 72-78 (2009). |
| 13. | S. Aleksandrov and O. Richmond,
"Singular Plastic Flow Fields near Surfaces of Maximum Friction Stress,"
Int. J. Non-Lin. Mech.
36 (1), 1-11 (2001). |
| 14. | S. Alexandrov,
"Strain Rate Intensity Factor and Its Applications: A Review,"
Mater. Sci. Forum
623, 1-20 (2009). |
| 15. | R. E. Sliwa,
"A Test Determining the Ability of Different Materials to Undergo Simultaneous Plastic Deformation to Produce Metal Composites,"
Mater. Sci. Engng
135A, 259-265 (1991). |
|
| Received |
01 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