Skip to main content
Log in

Theoretical aspects of technological mechanics. 7. Axisymmetric problems in plasticity theory. Part 1

  • Published:
Russian Engineering Research Aims and scope

Abstract

As is shown for the example of an axisymmetric problem, there is a fundamental difference between the solution of plastic-deformation problems when using the applied theory of plasticity and when utilizing the engineering theory of the pressure treatment of metals. The axisymmetric problem in plasticity theory is complex and has not been sufficiently studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Vorontsov, A.L., Theoretical aspects of technological mechanics. 6. Comparing plasticity theory with the theory of the pressure treatment of metals. Parts 1 and 2, Russ. Eng. Res., 2013, nos. 10 and 11.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  12. Vorontsov, A.L., Tekhnologicheskie zadachi teorii plastichnosti (Technological Problems of Plasticity Theory), Moscow: Mashinostroenie, 2006, vols. 1–3.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  15. Vorontsov, A.L., Analysis of the kinematic, stress, and strain state of a blank when a cylindrical punch is inserted into a halfspace, Vestn. Mashinostr., 1998, no. 7, pp. 44–47.

    Google Scholar 

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

    Google Scholar 

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

    MATH  Google Scholar 

  18. Ponomarev, S.D. et al., Raschety na prochnost’ v mashinostroenii (Strength Calculations in Manufacturing), Moscow: Mashgiz, 1958, vol. 2.

    Google Scholar 

  19. Vorontsov, A.L., New method of solving engineering problems of pressure treatment, Proizv. Prokata, 2003, no. 3, pp. 2–9.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  23. Il’yushin, A.A. and Lenskii, V.S., Soprotivlenie materialov (Strength of Materials), Moscow: Fizmatgiz, 1959.

    Google Scholar 

  24. 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 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. L. Vorontsov.

Additional information

Original Russian Text © A.L. Vorontsov, 2013, published in Vestnik Mashinostroeniya, 2013, No. 9, pp. 59–66.

Earlier articles in this series appeared in Russian Engineering Research, 2013, nos. 4–11. The next will be published in Russian Engineering Research, 2014, no. 1.

About this article

Cite this article

Vorontsov, A.L. Theoretical aspects of technological mechanics. 7. Axisymmetric problems in plasticity theory. Part 1. Russ. Engin. Res. 33, 702–709 (2013). https://doi.org/10.3103/S1068798X13120174

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068798X13120174

Keywords

Navigation