 | | 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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| A. A. Bukhan’ko, S. L. Stepanov, and A. I. Khromov, "Extension of a V-notched bar and failure of plastic bodies," Mech. Solids. 42 (3), 481-490 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
3 |
Pages |
481-490 |
| Title |
Extension of a V-notched bar and failure of plastic bodies |
| Author(s) |
A. A. Bukhan’ko (nstitute of Machine Science and Metallurgy, Far East Division, Russian Academy of Sciences, Metallurgov 1, Komsomolsk-on-Amur, 681005, Russia, bukhanko@imim.ru)
S. L. Stepanov (nstitute of Machine Science and Metallurgy, Far East Division, Russian Academy of Sciences, Metallurgov 1, Komsomolsk-on-Amur, 681005, Russia)
A. I. Khromov (nstitute of Machine Science and Metallurgy, Far East Division, Russian Academy of Sciences, Metallurgov 1, Komsomolsk-on-Amur, 681005, Russia, khromov@imim.ru) |
| Abstract |
The effect of plastic strain localization near the domains of sharp variation in shape and transverse cross-section of bodies is well known. But such processes have not yet been studied analytically well enough. On the basis of the model of an ideally rigid-plastic body, we propose an approach for determining the strain fields near the concentrators on the basis the motion of the displacement velocity field (near surfaces or discontinuity lines in the form of rigid-plastic boundaries and centers of the fan of slip lines under plane strain). We consider the problem on plastic flow with failure for a V-notched bar. We show that the plastic flow is not unique (in the framework of the solution completeness).We propose to use the strain criterion for choosing the preferable plastic flow. On the basis of the solutions thus obtained, we state an approach to studying failure processes for more complicated models of bodies. |
| References |
| 1. | G. I. Bykovtsev and D. D. Ivlev,
Theory of Plasticity
(Dal'nauka, Vladivostok, 1998)
[in Russian]. |
| 2. | A. I. Khromov, "Localization of Plastic Strains and Failure of
Perfect Rigid-Plastic Bodies," Dokl. Ross. Akad. Nauk 362
(2), 202-205 (1998) [Russian Acad. Sci. Dokl. Math.]. |
| 3. | A. I. Khromov,
Strain and Destruction of Rigid-Plastic Bodies
(Dal'nauka, Vladivostok, 1996)
[in Russian]. |
| 4. | J. F. W. Bishop, "On the Complete Solution to Problems of
Deformation of a Plastic-Rigid Material," J. Mech. and Phys.
Solids 2 (1), 43-53 (1953). |
| 5. | A. A. Bukhan'ko and A. I. Khromov,
"Strain Fields Under Penetration of Wedge-Shaped and Plane Dies,"
Dal'nevost. Matem. Zh.
3 (2), 311-319 (2002). |
| 6. | A. I. Khromov,
"Deformation and Fracture of a Rigid-Plastic Strip Subjected to Tension,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 136-142 (2002)
[Mech. Solids (Engl. Transl.)]. |
| 7. | A. I. Khromov and O. V. Kozlova,
Fracture of Rigid-Plastic Bodies. Constants of Fracture
(Dal'nauka, Vladivostok, 2005)
[in Russian]. |
| 8. | A. I. Khromov,
"Strain and Failure of Rigid-Plastic Bodies, Failure Constants,"
in Problems of Mechanics: Collection of Papers dedicated to A. Yu. Ishlinskii
on the Occasion of His 90th Birth Day, Ed. by D. M. Klimov
(Fizmatlit, Moscow, 2003), pp. 762-775. |
| 9. | E. H. Lee,
"Plastic Flow in a V-Notched Bar Pulled in Tension,"
J. Appl. Mech.
19 (3), 331-336 (1952). |
| 10. | O. Richmond,
"Plane Strain Necking of V-Notched and Un-Notched Bars,"
J. Mech. Phys. Solids
17 (2), 83-90 (1969). |
| 11. | G. I. Bykovtsev and A. I. Khromov, "Plane Problem of Pressing a
Rigid Die into a Perfect Rigid-Plastic Half-Space," Izv. Akad.
Nauk SSSR. Mekh. Tverd. Tela, No. 6, 47-52 (1981) [Mech. Solids
(Engl. Transl.)]. |
| 12. | G. I. Bykovtsev and A. I. Khromov, "Plane Strain of Perfcet
Rigid-Plastic Bodies with Variations in the Boundary Taken into
Account," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 2, 71-78
(1979) [Mech. Solids (Engl. Transl.)]. |
|
| Received |
10 June 2005 |
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