 | | 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
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| In English (Mech. Solids): | | 4810 |
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| A.A. Burenin and L.V. Kovtanyuk, "On Elastic Strains and a Viscoplastic Flow in a Heavy Layer Placed on an Inclined Plane," Mech. Solids. 45 (2), 284-294 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
2 |
Pages |
284-294 |
| DOI |
10.3103/S0025654410020147 |
| Title |
On Elastic Strains and a Viscoplastic Flow in a Heavy Layer Placed on an Inclined Plane |
| Author(s) |
A.A. Burenin (Institute for Automation and Control Processes, Far East Branch of Russian Academy of Sciences, Radio 5, Vladivostok, 690041 Russia, burenin@iacp.dvo.ru)
L.V. Kovtanyuk (Institute for Automation and Control Processes, Far East Branch of Russian Academy of Sciences, Radio 5, Vladivostok, 690041 Russia) |
| Abstract |
We present a closed solution of the boundary value problem of the theory of large elastoplastic strains concerned with the straight motions of the medium which is a layer of heavy material placed on the inclined plane with a load on its free surface. Under the conditions that the medium is incompressible, we study the conditions of the flow onset, development, and retardation. Special attention is paid to the repeated loading under which the elastoplastic boundary may enter the region with accumulated plastic strains, and the latter may decrease because of the further motion of this surface. |
| Keywords |
elasticity, plasticity, large strains, viscoplastic flow, residual stresses |
| References |
| 1. | V. P. Myasnikov,
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Zh. Prikl. Mekh. Tekh. Fiz.,
No. 2, 54-60 (1961)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 2. | G. I. Bykovtsev and A. D. Chernyshov,
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Zh. Prikl. Mekh. Tekh. Fiz.,
No. 4, 94-96 (1964)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 3. | P. M. Ogibalov and A. Kh. Mirzadzhanzade,
Nonstationary Motions of Viscoplastic Media
(Izd-vo MGU, Moscow, 1970)
[in Russian]. |
| 4. | V. P. Mosolov and V. P. Myasnikov,
Mechanics of Rigidplastic Media
(Nauka, Moscow, 1981)
[in Russian]. |
| 5. | A. V. Rezunov,
"Numerical Study of Rectilinear Viscoplastic Flows with Developed Stagnation Regions,"
in Applied Problems of Continuum Mechanics
(Izd-vo VGU, Voronezh, 1988),
pp. 44-48
[in Russian]. |
| 6. | A. V. Rezunov and A. D. Chernyshov,
"Problem of Pure Shear of Rectilinear Viscoplastic Material
between Two Cylindrical Surfaces,"
in Mechanics of Deformable Rigid Body
(Izd-vo "Volzhskaya Kommuna," Kuibyshev, 1975), No. 1, pp. 32-36
[in Russian]. |
| 7. | L. V. Kovtanyuk,
"On the Forcing of an Elastoviscoplastic Material through an Inflexible Circular Cylindrical Die,"
Dokl. Ross. Akad. Nauk
400 (6), 764-766 (2005)
[Dokl. Phys. (Engl. Transl.)
50 (2), 112-114 (2005)]. |
| 8. | 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)]. |
| 9. | A. A. Burenin, L. V. Kovtanyuk, and A. S. Ustinova,
"Viscosimetric Flow of an Elastoviscoplastic Material between Rigid Coaxial Cylindrical Surfaces,"
Vestnik ChGPU im. Yakovleva. Mekh. Predelnogo Sost.,
No. 1, 18-25 (2007). |
| 10. | 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)]. |
| 11. | 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. |
| 12. | G. I. Bykovtsev and T. D. Semykina,
"On Viscoplastic Flow of Circular Plates and Shells of Revolution,"
Izv. Akad. Nauk SSSR. Mekh. Mashinostr.,
No. 4, 68-76 (1964). |
|
| Received |
26 March 2008 |
| Link to Fulltext |
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