 | | 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 52, Issue 6 / 2017 | Next article >> |
| A.S. Begun, A.A. Burenin, and L.V. Kovtanyuk, "Helical Viscoplastic Flow in a Gap between Rigid Cylinders," Mech. Solids. 52 (6), 640-652 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
6 |
Pages |
640-652 |
| DOI |
10.3103/S0025654417060048 |
| Title |
Helical Viscoplastic Flow in a Gap between Rigid Cylinders |
| Author(s) |
A.S. Begun (Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia, asustinova@mail.ru)
A.A. Burenin (Institute of Machinery and Metallurgy of the Far East Branch of the Russian Academy of Sciences, ul. Metallurgov 1, Komsomolsk-on-Amur, 681005 Russia)
L.V. Kovtanyuk (Institute for Automation and Control Processes of the Far East Branch of the Russian Academy of Sciences, ul. Radio 5, Vladivostok, 690041 Russia) |
| Abstract |
In this paper, the problem of viscoplastic flow of an incompressible non-Newtonian material between two rigid
coaxial cylindrical surfaces in the case of helical motion of each of the cylinders is solved. The deformation under an increasing, constant, and decreasing loading is considered. The problem is solved by using the model of large elastoviscoplastic strains. The parameters of the processes under study are calculated for the domains of reversible strain, for the domains of viscoplastic flow, and for the unloading domains. |
| Keywords |
large strains, elasticity, plasticity, viscosity, residual stresses, irreversible strains |
| References |
| 1. | A. I. Safronchik,
"Rotation of a Cylinder with a Variable Angular Velocity in a Visco-Plastic Medium,"
Prikl. Mat. Mekh.
23 (6), 998-1014 (1959)
[J. Appl. Math. Mech. (Engl. Transl.)
23 (6), 1504-1511 (1959)]. |
| 2. | P. M. Ogibalov and A. Kh. Mirzadzhanzade,
Nonstationary Motions of Viscoplastic Media
(Izdat. MGU, Moscow, 1970)
[in Russian]. |
| 3. | V. P. Myasnikov,
"Some Exact Solutions for Rectilinear Motions of a Viscoplastic Medium,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
No. 2, 79-86 (1961)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 4. | G. I. Bykovtsev and A. D. Chernyshov,
"On Viscoplastic Flow in Noncircular Cylinders with Pressure Drop,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
No. 4, 68-76 (1964)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 5. | D. V. Georgievskii,
"Rigid Zones in Statically Determinate and Indeterminate Problems of Viscoplastic Flow,"
in Problems of Mechanics of Deformable Solids and Rocks,
Collection of papers dedicated to E. I. Shemyakin on the occasion of his 75th birthday,
Ed. by D.D. Ivlev and N.F. Morozov
(Fizmatlit, Moscow, 2006),
pp. 135-141
[in Russian]. |
| 6. | A. A. Burenin and L. V. Kovtanyuk,
Large Irreversible Deformations and Elastic Aftereffect
(Dal'nauka, Vladivostok, 2013)
[in Russian]. |
| 7. | D. D. Ivlev,
"From the History of Discussions in Mechanics. Three Discussions,"
in Theoret. and Appl. Mech., No. 27
(BNTU, Minsk, 2012),
pp. 5-10
[in Russian]. |
| 8. | D. D. Ivlev,
"On the Determination of Displacements in the Galin Problem,"
Prikl. Mat. Mekh.
23 (5), 987-988 (1959)
[J. Appl. Math. Mech. (Engl. Transl.)
23 (5), 1414-1416 (1959)]. |
| 9. | A. A. Burenin, G. I. Bykovtsev, and L. V. Kovtanyuk,
"A Simple Model of Finite Strain in an Elastoplastic Medium,"
Dokl. Ross. Akad. Nauk
347 (2), 199-201 (1996)
[Dokl. Phys. (Engl. Transl.)
41 (3), 127-129 (1996)]. |
| 10. | E. H. Lee,
"Elastic-Plastic Deformation at Finite Strains,"
Trans ASME J. Appl. Mech.
36 (1), 1-6 (1969). |
| 11. | S. Nemat-Nasser,
"On Finite Deformation Elasto-Plasticity,"
Int. J. Solids Struct.
18 (10), 857-872 (1982). |
| 12. | Z. Xia and F. A. Ellyn,
"A Finite Elastoplastic Constitutive Formulation with New Corotational Stress-Rate
and Strain-Hardening Rule,"
Trans ASME: J. Appl. Mech.
62 (3), 733-739 (1995). |
| 13. | V. P. Myasnikov,
"Equations of Motion of Elastoplastic Materials for Large Strains,"
Vestnik DVO RAN,
No. 4, 8-13 (1996). |
| 14. | A. A. Rogovoi,
"Constitutive Relations for Finite Elastic-Inelastic Strains,"
Zh. Prikl. Mekh. Tekhn. Fiz.
46 (5), 138-149 (2005)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
46 (5), 730-739 (2005)]. |
| 15. | S. N. Korobeinikov,
Nonlinear Deformation of Solids
(Izdat. SO RAN, Novosibirsk, 2000)
[in Russian]. |
| 16. | A. Shutov and J. Ihlemann,
"Analysis of Some Basic Approaches to Finite Strain Elasto-Plasticity
in View of Reference Change,"
Int. J. Plasticity
63, 183-197 (2014). |
| 17. | L. V. Kovtanyuk and A. V. Shitikov,
"On the Theory of Large Elastoplastic Strains of Materials
with Temperature and Rheological Effects Taken into Account,"
Vestnik DVO RAN,
No. 4, 87-93 (2006). |
| 18. | S. V. Belykh, K. S. Bormotin, A. A. Burenin, et al.,
"On Large Isothermal Deformations of Materials with Elastic, Viscous, and Plastic Properties,"
Vestnik Chuvash. Gos. Ped. Univ. im I. Ya. Yakovleva. Ser. Mekh. Pred. Sost.,
No. 4, 144-156 (2014). |
| 19. | L. V. Kovtanyuk,
"On the Forcing of an Elastoviscoplastic Material through an Inflexible Circular Cylindrical Die,"
Dokl. Ross. Akad. Nauk
400 (6), 764-767 (2005)
[Dokl. Phys. (Engl. Transl.)
50 (2), 112-114 (2005)]. |
| 20. | A. A. Burenin, L. V. Kovtanyuk, and A. L. Mazelis,
"The Pressing of an Elastoviscoplastic Material between Rigid Coaxial Cylindrical Surfaces,"
Prikl. Mat. Mekh.
70 (3), 481-489 (2006)
[J. Appl. Math. Mech. (Engl. Transl.)
70 (3), 437-445 (2006)]. |
| 21. | A. A. Burenin and L. V. Kovtanyuk,
"The Development and Deceleration of the Flow of an Elastoplastic Medium in a Cylindrical Tube,"
Prikl. Mat. Mekh.
77 (5), 788-798 (2013)
[J. Appl. Math. Mech. (Engl. Transl.)
77 (5), 566-572 (2013)]. |
| 22. | A. A. Burenin, L. V. Kovtanyuk, and A. S. Ustinova,
"Accounting for the Elastic Properties of a Non-Newtonian Material under Its Viscosimetric Flow,"
Zh. Prikl. Mekh. Tekhn. Fiz.
49 (2), 143-151 (2008)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
49 (2), 277-284 (2008)]. |
| 23. | A. A. Burenin, L. V. Kovtanyuk, and A. S. Ustinova,
"Viscoisometric Flow of an Incompressible Elastoviscoplastic Material
in the Presence of a Lubrication on the Boundary Surfaces,"
Sib. Zh. Industr. Mat.,
No. 2, 43-53 (2012). |
| 24. | A. S. Begun, A. A. Burenin, and L. V. Kovtanyuk,
"Flow of an Elastoviscoplastic Material between Rotating Cylindrical Surfaces with Nonrigid Cohesion,"
Zh. Prikl. Mekh. Tekhn. Fiz.
56 (2), 146-158 (2015)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
56 (2), 293-303 (2015)]. |
|
| Received |
15 October 2015 |
| Link to Fulltext |
|
| << Previous article | Volume 52, Issue 6 / 2017 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English