 | | 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
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| A.A. Burenin, L.V. Kovtanyuk, and I.A. Terletskii, "Irreversible Deformation with Subsequent Unloading of a Spherical Viscoelastoplastic Layer," Mech. Solids. 49 (3), 270-279 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
3 |
Pages |
270-279 |
| DOI |
10.3103/S0025654414030030 |
| Title |
Irreversible Deformation with Subsequent Unloading of a Spherical Viscoelastoplastic Layer |
| Author(s) |
A.A. Burenin (Institute for Automation and Control Processes, Far East Branch of the Russian Academy of Sciences, ul. 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, ul. Radio 5, Vladivostok, 690041 Russia, lk@iacp.dvo.ru)
I.A. Terletskii (Far East Federal University, Sukhanova 8,, Vladivostok, 690000 Russia, iterlik@mail.ru) |
| Abstract |
Analytic solutions are obtained for a sequence of one-dimensional quasistatic problems describing viscoelastic deformation processes in the material of a hollow ball and the plastic flow nucleation and evolution processes occurring in the ball as the pressure on the outer boundary increases. The unloading process under slow removal of the loading pressure is considered as well. The stress fields and the elastic and plastic strain fields in the spherical layer material, the law of motion of the elastoplastic boundary, and the residual stress level and distribution are computed. It is assumed that at the stage preceding the plastic flow the material obeys the viscoelastic Voigt model and the loading surface is determined by the von Mises plastic flow condition. |
| Keywords |
elasticity, viscosity, plasticity |
| References |
| 1. | A. A. Burenin, L. V. Kovtanyuk, and M. V. Polonik,
"The Possibility of Reiterated Plastic Flow at the Overall
Unloading of an Elastoplastic Medium,"
Dokl. Ross. Akad. Nauk
375 (6), 767-769 (2000)
[Dokl. Phys. (Engl. Transl.)
45 (12), 694-696 (2000)]. |
| 2. | A. A. Burenin and L. V. Kovtanyuk,
"Residual Stresses near a Cylindrical Cavity
in an Ideal Elastoplastic Medium,"
in Problems of Mechanics of Nonelastic Strains.
Collection of Papers Dedicated to D. D. Ivlev
on the Occasion of His 70th Birthday
(Fizmatlit, Moscow, 2001),
pp. 75-99
[in Russian]. |
| 3. | A. A. Burenin, L. V. Kovtanyuk, and M. V. Polonik,
"The Formation of a One-Dimensional Residual Stress Field in the Neighbourhood
of a Cylindrical Defect in the Continuity of an Elastoplastic Medium,"
Prikl. Mat. Mekh.
67 (2), 315-325 (2003)
[J. Appl. Math. Mech. (Engl. Transl.)
67 (2), 283-292 (2003)]. |
| 4. | A. A. Burenin, L. V. Kovtanyuk, and E. V. Murashkin,
"On the Residual Stresses in the Vicinity of a Cylindrical
Discontinuity in a Viscoelastoplastic Material,"
Zh. Prikl. Mekh. Tekhn. Fiz.
47 (2), 110-119 (2006)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
47 (2), 241-248 (2006)]. |
| 5. | L. V. Kovtanyuk and E. V. Murashkin,
"Onset of Residual Stress Fields near Solitary Spherical Inclusions
in a Perfectly Elastoplastic Medium,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 94-104 (2009)
[Mech. Solids (Engl. Transl.)
44 (1), 79-87 (2009)]. |
| 6. | A. Yu. Ishlinskii and D. D. Ivlev,
Mathematical Theory of Plasticity
(Fizmatlit, Moscow, 2001)
[in Russian]. |
| 7. | D. D. Ivlev,
"On the Determination of Displacements in Elastoplastic Problems
of the Theory of Ideal Plasticity,"
in Progress in Mechanics of Deformable Media
(Dedicated to Academician B. G. Galerkin on the Occasion of His 100th Birthday)
(Nauka, Moscow, 1957),
pp. 236-240
[in Russian]. |
| 8. | V. I. Gorelov,
"Effect of High Pressure on Mechanical Characteristics of Aluminum Alloys,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
25 (5), 157-158 (1984)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
25 (5), 813-814 (1984)]. |
| 9. | A. A. Bazhin and E. V. Murashkin,
"Modeling of the Residual Stress Relaxation Process
in Metalware under the Action of Intensive Working Loads,"
in Applied Problems of Deformable Solid Mechanics
and Progressive Technologies in Mechanical Engineering, No. 3, Pt. 1
(IMiM DVO RAN, Komsomolsk-on-Amur, 2009),
pp. 98-106
[in Russian]. |
|
| Received |
06 June 2011 |
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