 | | 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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| R.I. Nepershin, "Plastic Extension of a Plate with Symmetric Notches," Mech. Solids. 52 (5), 511-523 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
5 |
Pages |
511-523 |
| DOI |
10.3103/S0025654417050065 |
| Title |
Plastic Extension of a Plate with Symmetric Notches |
| Author(s) |
R.I. Nepershin (Moscow State Technical University "Stankin," Vadkovskii per. 3a, K-55, Moscow, 127944 Russia, nepershin_ri@rambler.ru) |
| Abstract |
The problem of extension of a plate with symmetric edge notches of different shape is numerically solved on the basis of the theory of plane stress state of an ideally plastic body under the von Mises plasticity condition. The discontinuities of the tangential and normal components of the velocity along the rigid-plastic boundaries, which result in the plastic strain localization in the neck and the material fracture, are calculated. The obtained results are of practical interest for estimating the limit extension force for a plate with edge notches of different shape and the limit strain of a thin sheet in inhomogeneous biaxial extension. |
| Keywords |
plastic forming, thin sheet, limit strain, neck, ideal plasticity, plate with notches, slip line |
| References |
| 1. | V. P. Romanovskii,
Reference Book in Cold Pressing
(Mashinostroenie, Moscow, 1979)
[in Russian]. |
| 2. | W. Johnson and P. B. Mellor,
Engineering Plasticity
(Van Nostrand Reinhold, London, 1975; Mashinostroenie, Moscow, 1979). |
| 3. | Yu. A. Averkiev and A. Yu. Averkiev,
Technology of Cold Pressing
(Mashinostroenie, Moscow, 1989)
[in Russian]. |
| 4. | E. A. Popov,
Foundations of the Theory of Sheet Stamping
(Mashinostroenie, Moscow, 1977)
[in Russian]. |
| 5. | A. D. Tomlenov,
Theory of Metal Plastic Deformation
(Metallurgiya, Moscow, 1972)
[in Russian]. |
| 6. | Z. Marciniak, K. Kuczyńsky, and T. Pokora,
"Influence of the Plastic Properties of a Material on the Forming Limit Diagram
for Sheet Metal in Tension,"
Int. J. Mech. Sci.
15 (10), 789-800 (1973). |
| 7. | Z. Marciniak,
"Assessment of Material Formability,"
in Advanced Technology of Plasticity. Proceeding of the 2nd ICTP, Tokyo,
(1994)
685-694. |
| 8. | U. S. Rao and R. C. Chaturvedy,
"Sheet Metal Forming Limits under Complex Strain Paths Using Shear Instability Criterion,"
in Advanced Technology of Plasticity. Proceeding of the 2nd ICTP, Tokyo,
(1994)
629-634. |
| 9. | A. Yu. Averkiev,
Methods for Estimating the Formability of Sheet Metals
(Mashinostroenie, Moscow, 1985)
[in Russian]. |
| 10. | C. Girjob, G. Racz, and O. Bologa,
"The Determination of the Forming Limit Curve Using a Modular Device,"
AJME
8 (2), 39-44 (2010). |
| 11. | V. V. Sokolovskii,
"Plasticity Equilibrium Equations in Plane Stress State,"
Prikl. Mat. Mekh.
9 (1), 111-128 (1945)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 12. | V. V. Sokolovskii,
Theory of Plasticity
(Vysshaya Shkola, Moscow, 1969)
[in Russian]. |
| 13. | L. M. Kachanov,
Foundations of the Theory of Plasticity
(Nauka, Moscow, 1969)
[in Russian]. |
| 14. | A. Nadai,
Theory of Flow and Fracture of Solids
(McGraw-Hill, New York, 1950; Izdat. Inostr. Lit., Moscow, 1954). |
| 15. | R. Hill,
"On Discontinuous Plastic States with Special Reference to a Localized Necking in Thin Sheets,"
J. Mech. Phys. Solids
1 (1), 19-30 (1952). |
| 16. | V. A. Druyanov and R. I. Nepershin,
Problems of Technological Plasticity
(Mashinostroenie, Moscow, 1990; Elsevier, Amsterdam, 1994). |
|
| Received |
16 November 2016 |
| Link to Fulltext |
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