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Theoretical aspects of technological mechanics. 7. Axisymmetric problems in plasticity theory. Part 2

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Attention focuses on the kinematics and stress state in the upsetting of a cylindrical blank with friction at the ends.

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References

  1. Vorontsov, A.L., Theoretical aspects of technological mechanics. 7. Axisymmetric problems in plasticity theory. Part 1, Russ. Eng. Res., 2013, vol. 33, no. 12.

  2. Hill, R., Mathematical Theory of Plasticity, Oxford: Clarendon Press, 1950.

    MATH  Google Scholar 

  3. Storozhev, M.V. and Popov, E.A., Teoriya obrabotka metallov davleniem (Theory of the Pressure Treatment of Metals), Moscow: Mashinostroenie, 1977.

    Google Scholar 

  4. Gun, G.Ya., Teoreticheskie osnovy protsessov obrabotki metallov davleniem (Theoretical Principles of the Pressure Treatment of Metals), Moscow: Metallurgiya, 1980.

    Google Scholar 

  5. Tarnovskii, I.Ya., Pozdeev, A.A., Ganago, O.A., et al., Teoriya obrabotka metallov davleniem (Theory of the Pressure Treatment of Metals), Moscow: Metallurgizdat, 1963.

    Google Scholar 

  6. Il’yushin, A.A., Plastichnost’ (Plasticity), Moscow-Leningrad: GITTL, 1948.

    Google Scholar 

  7. Bezukhov, N.I., Teoriya uprugosti i plastichnosti (Theory of Elasticity and Plasticity), Moscow: GITTL, 1953.

    Google Scholar 

  8. Prager, W. and Hodge, F.G., Theory of Perfectly Plastic Bodies, New York: Wiley, 1951.

    Google Scholar 

  9. Prager, W., An Introduction to Plasticity, Reading, Mass.: Addison-Wesley, 1959.

    MATH  Google Scholar 

  10. Johnson, W. and Mellor, P.B., Engineering Plasticity, London: Van Nostrand, 1973.

    Google Scholar 

  11. Sokolovskii, V.V., Teoriya plastichnosti (Theory of Plasticity), Moscow: Vysshaya Shkola, 1969.

    Google Scholar 

  12. Kachanov, L.M., Osnovy teorii plastichnosti (Fundamentals of Plasticity Theory), Moscow: Nauka, 1969.

    Google Scholar 

  13. Malinin, N.N., Prikladnaya teoriya plastichnosti i poluchesti (Applied Theory of Plasticity and Creep), Moscow: Mashinostroenie, 1975.

    Google Scholar 

  14. Timoshenko, S.P. and Goodyear, J., Theory of Elasticity, New York: McGraw-Hill, 1970.

    MATH  Google Scholar 

  15. Smirnov-Alyaev, G.A., Soprotivlenie materialov plasticheskomu deformirovaniyu (Resistance to Plastic Deformation), Leningrad: Mashinostroenie, 1978.

    Google Scholar 

  16. Tomlenov, A.D., Teoriya plasticheskogo deformirovaniya metallov (Theory of the Plastic Deformation of Metals), Moscow: Metallurgiya, 1972.

    Google Scholar 

  17. Il’yushin, A.A., Trudy (Collected Works), Moscow: Fizmatgiz, 2003, vol. 1.

  18. Ovchinnikov, A.G. and Luginin, V.I., Analysis of inverse extrusion on the basis of the current function, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 1974, no. 10, pp. 128–132.

  19. Tolchinskii, M.S., Equations for the current function in plane plastic flow, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 1970, no. 9, pp. 154–159.

  20. Stepanskii, L.G. Raschety protsessov obrabotki metallov davleniem (Calculations of the Pressure Treatment of Metals), Moscow: Mashinostroenie, 1979.

    Google Scholar 

  21. Vorontsov, A.L., Teoriya shtampovki vydavlivaniem (Theory of Extrusive Stamping), Moscow: Mashinostroenie, 2004.

    Google Scholar 

  22. Vorontsov, A.L., Change in geometry of a cylindrical blank in upsetting with contact friction, Russ. Eng. Res., 2009, vol. 29, no. 7, pp. 705–713.

    Article  MathSciNet  Google Scholar 

  23. Perlin, I.L. and Ermanok, M.Z., Teoriya volocheniya (Theory of Drawing), Moscow: Metallurgiya, 1971.

    Google Scholar 

  24. Vorontsov, A.L., Theory of the upsetting of a cylindrical blank with unequal conditions at the ends, Proizv. Prokata, 2007, no. 7, pp. 2–10.

  25. Vorontsov, A.L., Determining the optimal matrix speed in inverse extrusion with active frictional forces, Izv. Vyssh. Uchebn. Zaved., Mashinostr., 1982, no. 5, pp. 131–136.

  26. Vorontsov, A.L., Theoretical aspects of technological mechanics. 3. The invalidity of tangential-stress pairing, Russ. Eng. Res., 2013, vol. 33, no. 6, pp. 332–336.

    Article  Google Scholar 

  27. Vorontsov, A.L., Predicting the failure of a continuous blank in upsetting, Proizv. Prokata, 2007, no. 9, pp. 8–14.

  28. Vorontsov, A.L., Teoriya malootkhodnoi shtampovki (Theory of Low-Waste Stamping), Moscow: Mashinostroenie, 2005.

    Google Scholar 

  29. Vorontsov, A.L., Tekhnologicheskie zadachi teorii plastichnosti (Technological Problems of Plasticity Theory), Moscow: Mashinostroenie, 2006.

    Google Scholar 

  30. Vorontsov, A.L., Analysis of the extrusion of hollow components by a cylindrical punch with a spherical end, Vestn. Mashinostr., 1999, no. 11, pp. 46–50.

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Correspondence to A. L. Vorontsov.

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Original Russian Text © A.L. Vorontsov, 2013, published in Vestnik Mashinostroeniya, 2013, No. 10, pp. 64–72.

Earlier articles in this series appeared in Russian Engineering Research, 2013, nos. 4–12. The next will be published in Russian Engineering Research, 2014, no. 2.

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Vorontsov, A.L. Theoretical aspects of technological mechanics. 7. Axisymmetric problems in plasticity theory. Part 2. Russ. Engin. Res. 34, 26–33 (2014). https://doi.org/10.3103/S1068798X14010183

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