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Analysis of Deformation Zone Using Slip Line Method during Pipe Pressing


Production practice of hot rolled pipes during development of pressing technology is aimed at on-line determination of power parameters of the process. At present, pressing forces are calculated using semiempirical equations derived for specific equipment and averaged conditions of the process. It should be mentioned that correct calculations of technological parameters of pressing make it possible to optimize this process, as well as to achieve maximum production rate and the required product quality. Estimated pressing force allows to forecast capability of production of a given molded item, serves subsequently as one of the main technological parameters for optimization of existing technology. This work is devoted to the analysis of deformation zone geometry as one of the main constituents of analytical dependences for determination of pressing force. Boundary friction conditions in the deformation zone have been considered. Four dependences for determination of pressing force have been considered, which demonstrated good agreement between calculated and actual values.

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  1. Manegin, Yu.V., Pritomanov, A.E., Shpittel’, T., and Knaushner, A., Goryachee pressovanie trub i profilei (Hot Pressing of Pipes and Profiles), Moscow: Metallurgiya, 1980.

  2. Thomsen, E.G., Yang, C.T., and Kobayashi, S., Mechanics of Plastic Deformation in Metal Processing, New York: Macmillan, 1965.

    Google Scholar 

  3. Perlin, I.L., Teoriya pressovaniya metallov (The Theory of Metal Pressing), Moscow: Metallurgiya, 1964.

  4. Sapunov, V.T., Teoriya plastichnosti. Ploskaya zadacha. Ekstremal’nye printsipy i energeticheskie metody resheniya. Zakony, uravneniya i zadachi tsiklicheskoi plastichnosti: uchebnoe posobie (Theory of Plasticity. Flat Task. Extremal Principles and Energy Methods of Solution. Laws, Equations, and Problems of Cyclic Plasticity: Manual), Moscow: Nats. Issled. Yad. Univ., MIFI, 2010.

  5. Ashkeev, Zh.A., Abishkenov, M.Zh., and Kanseit, N.Sh., The stress state and speed parameters during asymmetric rolling, Tr. Univ., 2021, no. 2 (83), pp. 31–36.

  6. Shevchenko, K.N., Osnovy matematicheskikh metodov v teorii obrabotki metallov davleniem (Fundamental Mathematical Methods in the Theory of Metal Forming), Moscow: Vysshaya Shkola, 1970.

  7. Hosford, W.F. and Caddell, R.M., Metal Forming: Mechanics and Metallurgy, Cambridge: Cambridge Univ. Press, 2011, 4th ed.

    Book  Google Scholar 

  8. Shofman, L.A., Teoriya i raschety protsessov kholodnoi shtampovki (Theory and Calculations of Cold Forging), Moscow: Mashinostroenie, 1964.

  9. Norrie, D.H. and De Vries, G., An Introduction to Finite Element Analysis, New York: Academic, 1978, vol. 14.

    Google Scholar 

  10. Polukhin, P.I., Gun, G.Ya., and Galkin, A.M., Soprotivlenie plasticheskoi deformatsii metallov i splavov (Resistance of Metals and Alloys to Plastic Deformation), Moscow: Metallurgiya, 1983, 2nd ed.

  11. Kosmatskii, Ya.I., Goryachev, E.A., and Fokin, N.V., Teoriya plasticheskoi deformatsii stalei i splavov: metodicheskie ukazaniya k laboratornym rabotam (Theory of Plastic Deformation of Steels and Alloys: Laboratory Guide), Chelyabinsk: Yuzh.-Ural. Gos. Univ., 2014.

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Correspondence to Ya. I. Kosmatskii.

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Translated by I. Moshkin

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Kosmatskii, Y.I., Fokin, N.V. Analysis of Deformation Zone Using Slip Line Method during Pipe Pressing. Steel Transl. 51, 903–913 (2021).

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  • pipe pressing
  • mathematical simulation
  • deformation zone
  • slip line method
  • friction conditions