 | | 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
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| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 42, Issue 4 / 2007 | Next article >> |
| A. A. Burenin and L. V. Kovtanyuk, "On an analytic solution in the theory of large elastoviscoplastic strains," Mech. Solids. 42 (4), 558-562 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
4 |
Pages |
558-562 |
| Title |
On an analytic solution in the theory of large elastoviscoplastic strains |
| Author(s) |
A. A. Burenin (Institute for Automation and Control Processes, Far East Branch of Russian Academy of Sciences, Radio 5, Vladivostok, 690041, Russia, Byrenin@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, burenin@dvo.ru) |
| Abstract |
Analytic solutions for motions of viscoplastic media under pressure drop [1, 2] have become classical. They have served for the progress in the theory and as a necessary tool for testing numerical methods for problems with unknown boundaries (the boundaries of rigid cores and stagnation regions). In the present paper, we essentially generalize these solutions to the case in which one cannot neglect elastic properties. It turns out that the assumption that the medium is incompressible permits obtaining the analytic solution with large strains taken into account, while without this assumption the analytic solution cannot be obtained even for small strains in elastic strain regions. |
| References |
| 1. | V. P. Myasnikov, "Some Exact Solutions for Rectilinear Motions of
a Viscoplastic Medium,"
Prikl. Mekh. Tekhn. Fiz.,
No. 2, 54-60 (1961)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)]. |
| 2. | G. I. Bykovtsev and A. D. Chernyshov, "On Viscoplastic Flow in
Noncircular Cylinders with Pressure Drop,"
Zh. Prikl. Mekh. Tekh. Fiz.,
No. 4, 94-96
(1964). |
| 3. | A. A. Burenin, G. I. Bykovtsev, and L. V. Kovtanyuk, "On a Simple
Model of an Elastoplastic Medium under Finite Strains," Dokl. Ross.
Akad. Nauk 347 (2), 199-201 (1996) [Russian Acad. Sci. Dokl.
Math. (Engl. Transl.)]. |
| 4. | L. V. Kovtanyuk,
"Simulation of Large Elastoplastic Strains in the Nonisothermal Case,"
Dal'nevost. Mat. Zh.
5 (1), 107-117 (2004). |
| 5. | V. P. Myasnikov,
"Equations of Motion of Elastoplastic Materials at Large Strains,"
Vestn. Dal'nevost. Otd. Ross. Akad. Nauk,
No. 4, 8-14 (1996). |
| 6. | 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). |
| 7. | V. A. Znamenskii and D. D. Ivlev, "On the Equations of a
Viscoplastic Body in the Case of Piecewise Linear Potentials,"
Izv. Akad. Nauk SSSR. OTN. Mekh. Mashinostr.,
No. 6, 12-16 (1963). |
|
| Received |
08 February 2005 |
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