 | | 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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| A.A. Burenin, L.V. Kovtanyuk, and G.L. Panchenko, "Modeling of Large Elastoviscoplastic Deformations with Thermophysical Effects Taken into Account," Mech. Solids. 45 (4), 583-594 (2010) |
| Year |
2010 |
Volume |
45 |
Number |
4 |
Pages |
583-594 |
| DOI |
10.3103/S0025654410040084 |
| Title |
Modeling of Large Elastoviscoplastic Deformations with Thermophysical Effects Taken into Account |
| Author(s) |
A.A. Burenin (Institute for Automation and Control Processes, Far East Branch of the 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 the Russian Academy of Sciences, Radio 5, Vladivostok, 690041 Russia)
G.L. Panchenko (Institute for Automation and Control Processes, Far East Branch of the Russian Academy of Sciences, Radio 5, Vladivostok, 690041 Russia) |
| Abstract |
We propose a mathematical model of large elastoviscoplastic deformations where intensive deformation results in temperature increasing and heat transfer processes. As an example of applying the model relations, we present a solution of the boundary-value problem on rectilinear motion and heating of a medium located in the gap between coaxial rigid cylindrical surfaces. |
| Keywords |
elasticity, plasticity, viscosity, heat conduction, large deformations |
| References |
| 1. | E. H. Lee,
"Elastic-Plastic Deformation at Finite Strains,"
Trans. ASME Ser. E. J. Appl. Mech.
36 (1), 1-6 (1969). |
| 2. | R. J. Clifton,
"On the Equivalence of Fe·Fp and Fp·Fe,"
Trans. ASME Ser. E. J. Appl. Mech.
39 (1), 287-289 (1972). |
| 3. | V. I. Kondaurov,
"Equations of Elastoviscoplastic Medium with Finite Deformations,"
Zh. Prikl. Mekh. Tekh. Fiz.
23 (4), 133-139 (1982)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
23 (4), 584-591 (1982)]. |
| 4. | S. Nemat-Nasser,
"On Finite Deformation Elasto-Plasticity,"
Int. J. Solids Struct.
18 (10), 857-872 (1982). |
| 5. | V. I. Levitas,
Large Elastoplastic Deformations of Materials under High Pressure
(Naukova Dumka, Kiev, 1987)
[in Russian]. |
| 6. | A. V. Shitikov and G. I. Bykovtsev,
"Finite Deformations in an Elastoplastic Medium,"
Dokl. Akad. Nauk SSSR
311 (1), 59-62 (1990)
[Sov. Phys. Dokl. (Engl. Transl.)
35, 297 (1980)]. |
| 7. | Z. Xia and F. Ellyin,
"A Finite Elastoplastic Constitutive Formulation with New Co-Rotational Stress-Rate and
Strain-Hardening Rule,"
Trans. ASME. J. Appl. Mech.
62 (3), 733-739 (1995). |
| 8. | V. P. Myasnikov,
"Equations of Motion of Elastoplastic Materials under Large Deformations,"
Vestnik DVO RAN,
No. 4, 8-14 (1996). |
| 9. | A. A. Rogovoi,
"Constitutive Relations for Finite Elastic-Inelastic Strains,"
Zh. Prikl. Mekh. Tekh. Fiz.
46 (5), 138-149 (2005)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
46 (5), 730-739 (2005)]. |
| 10. | A. D. Chernyshov,
"Constitutive Equations for an Elastoplastic Body at Finite Strains,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 120-128 (2000)
[Mech. Solids (Engl. Transl.)
35 (1), 102-108 (2000)]. |
| 11. | 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)]. |
| 12. | L. V. Kovtanyuk and A. V. Shitikov,
"On the Theory of Large Elastoplastic Deformations of Materials with
Temperature and Rheological Effects Taken into Account,"
Vestnik DVO RAN,
No. 4, 87-93 (2006). |
| 13. | A. I. Lurie,
"Differentiation with Respect to Tensor Argument,"
in Problems of Mathematical Physics
(Nauka, Leningrad, 1976) [in Russian], pp. 48-57. |
| 14. | 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 |
20 January 2010 |
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