CONTACT STRESSES AT PLASTIC METAL FLOW IN A WEDGE-SHAPED CHANNEL
https://doi.org/10.17073/0368-0797-2015-6-429-433
Abstract
The scheme of plane deformation of an ideal rigid-plastic material in the fl ow in a wedge-shaped channel is widely used for analysis of the stress state in metal forming processes. For the first time it was obtained a closed analytical solution of plane deformation during plastic fl ow of metal in a wedge-shaped channel for contact stresses, obeying the Coulomb law of friction. The regularities of changes of contact stress along the length of the section of the sliding were determined at different directions of the friction forces in the lead and lag zones. It is shown that when the tangential contact stresses reach to limit values on the boundary zones of the slip, the deceleration of the normal contact stresses reaches to maximum value of zero derivative dp/dr. This leads to the smooth docking plots of the tangential stress on that boundary and to the kink in the plot of the normal stress. It was established from the analysis results of the obtained solutions and their comparison with known data that the transition to the approximate plasticity condition qualitatively changes the character of the plots of the contact stresses in the zone of sliding and the length of this zone. As an example of the use of the obtained solutions the stress state was considered during the strip pressing through wedged matrix.
About the Author
G. L. Baranov
Ural Federal University named after the first President of Russia B.N. Yeltsin, Ekaterinburg
Russian Federation
Dr. Sci. (Eng.), Professor of the Chair “Machinery parts”
Russian Federation
Dr. Sci. (Eng.), Professor of the Chair “Machinery parts”
References
1. Unksov E.P. Inzhenernaya teoriya plastichnosti [Engineering theory of plasticity]. Moscow: Mashgiz, 1959, 328 p. (In Russ.).
2. Cherkasova I.N. Power parameters of the wedge-shaped bodies. Izv. vuz. Mashinlstroenie. 1985, no. 4, pp. 116–120. (In Russ.).
3. Grudev A.P. Teoriya prokatki [Theory of rolling]. Moscow: Intermet Inzhiniring, 2001, 280 p. (In Russ.).
4. Nikitin G.S. Teoriya nepreryvnoi prodol’noi prokatki [Theory of continuous lengthwise rolling]. Moscow: Izd-vo MGTU im. N.E. Baumana, 2009. 399 p. (In Russ.).
5. Marciniak Z., Duncan J.L., Hu S.J. Mechanics of Sheet Metal Forming. Oxford: ButterworthHeinemann, 2002. 228 p.
6. Perlin I.L., Raitbarg L.Kh. Teoriya pressovaniya metallov [Theory of metals pressing]. Moscow: Metallurgiya, 1975. 446 p. (In Russ.).
7. Unksov E.P., Johnson W., Kolmogorov V.L. etc. Teoriya plasticheskikh deformatsii metallov [Theory of plastic deformation of metals]. Moscow: Mashinostroenie, 1983, 598 p. (In Russ.).
8. Sokolovskii V.V. Teoriya plastichnosti [Theory of plasticity]. Moscow: Vysshaya shkola, 1969, 608 p. (In Russ.).
9. Maksimov S.B. The material fl ow in converging channels when running on contact friction Coulomb’s law. Izvestiya VUZov. Chernaya metallurgiya = Izvestiya. Ferrous Metallurgy. 1990, no. 1, pp. 43–45. (In Russ.).
10. Smirnov V.S. Teoriya obrabotki metallov davleniem [Theory of metal forming]. Moscow: Metallurgiya, 1973, 496 p. (In Russ.).
11. Dil’man V.L., Nosacheva A.I. The analysis of stress-strain state of inhomogeneous plastic strip. Vestnik Yuzhno-Ural’skogo gosudarstvennogo universiteta. 2012, no. 34, pp. 11–15. (In Russ.).
12. Baranov G.L. Infl uence of contact friction on the stress state of strip in drawing. Steel in Translation. 2014, vol. 44, no. 6, pp. 460–465.
13. Vorontsov A.L., Khatsiev Yu.Kh. The analysis of problems of upsetting, drawing and pressing of a strip. Spravochnik. Inzhenernyi zhurnal s prilozheniem. 2014, no. 59, pp. 10–16. (In Russ.).
14. Nikolaev V.A. The analysis of problems of upsetting, drawing and pressing of a strip. Proizvodstvo prokata. 2013, no. 9, pp. 20–25. (In Russ.).
15. Malinin N.N. Tekhnologicheskie zadachi plastichnosti i polzuchesti [Technological problems of plasticity and creep]. Moscow: Vysshaya shkola, 1979. 119 . (In Russ.).
Review
For citations:
Baranov G.L. CONTACT STRESSES AT PLASTIC METAL FLOW IN A WEDGE-SHAPED CHANNEL. Izvestiya. Ferrous Metallurgy. 2015;58(6):429-433. (In Russ.) https://doi.org/10.17073/0368-0797-2015-6-429-433
Views:
675
Email this article 